autoresearch-quantum/notebooks/plan_a/01_encoded_magic_state.ipynb
saymrwulf 29caba3a1a Add professional toolchain: mypy strict, CI pipeline, Playwright UX tests, pedagogy validation
Infrastructure:
- Configure mypy strict mode in pyproject.toml; fix all 53 type errors across 8 source files
- Add .pre-commit-config.yaml (ruff, mypy, nbstripout, trailing whitespace)
- Add .github/workflows/ci.yml: lint + type check, unit tests (Python 3.11/3.12), notebook execution
- Add scripts/app.sh consumer lifecycle manager (bootstrap, start, stop, status, validate, logs, reset)

Testing:
- Add tests/test_browser_ux.py: Playwright end-to-end UX tests covering JupyterLab launch,
  notebook rendering, navigation links, widget rendering, and full consumer walkthrough
- Add tests/test_pedagogy.py: 130 pedagogical structure tests validating prose quality
  (word counts, markdown ratio), section structure, assessment density and variety,
  Bloom's taxonomy coverage, checkpoint presence, tracker integration, key insight
  callouts, and cross-plan concept consistency

Quality:
- Fix ruff E741 (ambiguous variable name) across all builder scripts
- Add Key Insight callouts to plan_a/01_encoded_magic_state.ipynb
- Add pytest 'browser' marker for selective UX test runs
- Expand .gitignore with .logs/ and build artifacts

319 tests pass, 85% coverage, mypy strict clean, ruff clean.
2026-04-15 20:00:19 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Notebook 1: What Is an Encoded Magic State?\n",
"\n",
"**Welcome.** This notebook will take you from a single qubit to a fault-tolerant building block, step by step. Every concept is introduced with motivation first, then code, then a quiz to check your understanding.\n",
"\n",
"### The big picture\n",
"\n",
"In fault-tolerant quantum computing, most logical gates can be implemented transversally using **Clifford operations** (H, S, CNOT). But Cliffords alone are not enough for universal computation. The **Gottesman-Knill theorem** proves that any circuit built only from Clifford gates can be efficiently simulated on a classical computer \u2014 no quantum advantage.\n",
"\n",
"To break out of this classical-simulability trap, you need a **non-Clifford resource**. The simplest one is the **T-gate** ($\\pi/8$ rotation). But implementing T fault-tolerantly is hard \u2014 you cannot do it transversally in most codes. The workaround: prepare a special quantum state called the **magic state**, then consume it to perform the T-gate via gate teleportation.\n",
"\n",
"$$|T\\rangle = \\frac{|0\\rangle + e^{i\\pi/4}|1\\rangle}{\\sqrt{2}}$$\n",
"\n",
"This notebook teaches you to:\n",
"1. Build a magic state and see it on the Bloch sphere\n",
"2. Understand *why* there are multiple preparation methods and when each matters\n",
"3. Encode it into the [[4,2,2]] error-detecting code\n",
"4. Verify the encoding using stabilizer algebra\n",
"5. See error detection in action \u2014 break the state and watch the code catch it\n",
"6. Run a full syndrome-measurement simulation with postselection"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Imports OK.\n"
]
}
],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from math import pi, sqrt\n",
"\n",
"from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n",
"from qiskit.quantum_info import Statevector, SparsePauliOp, state_fidelity, DensityMatrix\n",
"from qiskit.visualization import plot_bloch_multivector, plot_histogram\n",
"from qiskit_aer import AerSimulator\n",
"\n",
"from autoresearch_quantum.codes.four_two_two import (\n",
" build_preparation_circuit,\n",
" build_encoder,\n",
" apply_magic_seed,\n",
" encoded_magic_statevector,\n",
" STABILIZERS,\n",
" MEASUREMENT_OPERATORS,\n",
" DATA_QUBITS,\n",
")\n",
"from autoresearch_quantum.experiments.encoded_magic_state import build_circuit_bundle\n",
"from autoresearch_quantum.models import ExperimentSpec\n",
"\n",
"print(\"Imports OK.\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Learning tracker active. Quizzes will appear as interactive widgets.\n"
]
}
],
"source": [
"from autoresearch_quantum.teaching import LearningTracker\n",
"from autoresearch_quantum.teaching.assess import quiz, predict_choice, reflect, order, checkpoint_summary\n",
"\n",
"tracker = LearningTracker(\"plan_a_01\")\n",
"print(\"Learning tracker active. Quizzes will appear as interactive widgets.\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 1. The Single-Qubit Magic State\n",
"\n",
"### Why this state?\n",
"\n",
"Imagine you have a quantum computer that can only do Clifford gates. You can create entanglement, teleport states, do error correction \u2014 but you **cannot** solve any problem faster than a classical computer. You are stuck.\n",
"\n",
"The T-state is the key that unlocks universality. By preparing $|T\\rangle$ with high fidelity and \"injecting\" it into your Clifford circuit, you gain the ability to perform the T-gate:\n",
"\n",
"$$T = \\begin{pmatrix} 1 & 0 \\\\ 0 & e^{i\\pi/4} \\end{pmatrix}$$\n",
"\n",
"The T-state itself is prepared by applying Hadamard followed by a $P(\\pi/4)$ phase gate to $|0\\rangle$:\n",
"\n",
"$$|T\\rangle = P(\\pi/4) \\cdot H \\, |0\\rangle = \\frac{|0\\rangle + e^{i\\pi/4}|1\\rangle}{\\sqrt{2}}$$\n",
"\n",
"Let's build it and look at its amplitudes."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"T-state amplitudes: [0.70710678+0.j 0.5 +0.5j]\n",
" |0> amplitude: 0.7071+0.0000j\n",
" |1> amplitude: 0.5000+0.5000j\n",
" |1> phase: 0.7854 rad = 45.0 deg\n",
" Expected phase: pi/4 = 0.7854 rad = 45.0 deg\n"
]
}
],
"source": [
"# Build a single-qubit T-state using H then P(pi/4)\n",
"qc_single = QuantumCircuit(1, name=\"T-state\")\n",
"qc_single.h(0)\n",
"qc_single.p(pi / 4, 0)\n",
"\n",
"t_state = Statevector.from_instruction(qc_single)\n",
"print(\"T-state amplitudes:\", t_state.data)\n",
"print(f\" |0> amplitude: {t_state.data[0]:.4f}\")\n",
"print(f\" |1> amplitude: {t_state.data[1]:.4f}\")\n",
"print(f\" |1> phase: {np.angle(t_state.data[1]):.4f} rad = {np.angle(t_state.data[1]) * 180 / pi:.1f} deg\")\n",
"print(f\" Expected phase: pi/4 = {pi/4:.4f} rad = 45.0 deg\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "616e4cb7639a40eebf12fcef7f3c9de3",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"quiz(tracker, \"q1_tstate_phase\",\n",
" question=\"What is the phase angle of the |1\\u27E9 coefficient in the T-state?\",\n",
" options=[\n",
" \"\\u03C0/2 (90\\u00b0)\",\n",
" \"\\u03C0/4 (45\\u00b0)\",\n",
" \"\\u03C0/8 (22.5\\u00b0)\",\n",
" \"\\u03C0 (180\\u00b0)\",\n",
" ],\n",
" correct=1,\n",
" section=\"1. The T-state\",\n",
" bloom=\"remember\",\n",
" explanation=(\n",
" \"The T-state is \\\\((|0\\\\rangle + e^{i\\\\pi/4}|1\\\\rangle)/\\\\sqrt{2}\\\\). \"\n",
" \"The phase is \\\\(\\\\pi/4 = 45\\u00b0\\\\). \"\n",
" \"Confusingly, the gate is called T (for \\\\(\\\\pi/8\\\\)) because the Bloch sphere rotation \"\n",
" \"angle is half the gate phase.\"\n",
" ))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Bloch sphere picture\n",
"\n",
"Every single-qubit pure state can be visualized as a point on the Bloch sphere. The T-state sits at:\n",
"- **Polar angle** $\\theta = \\pi/2$ (on the equator \u2014 equal probability of $|0\\rangle$ and $|1\\rangle$)\n",
"- **Azimuthal angle** $\\phi = \\pi/4$ (45\u00b0 between the X and Y axes)\n",
"\n",
"This means $\\langle X \\rangle = \\langle Y \\rangle = 1/\\sqrt{2} \\approx 0.707$ and $\\langle Z \\rangle = 0$.\n",
"\n",
"Stabilizer states ($|0\\rangle$, $|+\\rangle$, $|i\\rangle$, etc.) always sit at the poles or on the axes. The T-state is **between** axes \u2014 that's what makes it non-stabilizer and therefore useful."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 480x581 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Expectation values:\n",
" <X> = 0.7071\n",
" <Y> = 0.7071\n",
" <Z> = 0.0000\n"
]
}
],
"source": [
"# Visualize on the Bloch sphere\n",
"fig = plot_bloch_multivector(t_state, title=\"Single-Qubit T-State\")\n",
"plt.show()\n",
"\n",
"# Verify the expectation values numerically\n",
"print(\"\\nExpectation values:\")\n",
"for pauli in [\"X\", \"Y\", \"Z\"]:\n",
" op = SparsePauliOp.from_list([(pauli, 1.0)])\n",
" val = t_state.expectation_value(op).real\n",
" print(f\" <{pauli}> = {val:.4f}\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ca91609b2e464d7a8efd46208ce70058",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#e65100; margin-bottom:8px;\">&#1\u2026"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ca91609b2e464d7a8efd46208ce70058",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#e65100; margin-bottom:8px;\">&#1\u2026"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predict_choice(tracker, \"q2_bloch_position\",\n",
" question=\"The T-state Bloch vector: where does it point?\",\n",
" options=[\n",
" \"North pole (along +Z)\",\n",
" \"Along the +X axis\",\n",
" \"On the equator, 45\\u00b0 between X and Y\",\n",
" \"At the south pole (along \\u2212Z)\",\n",
" ],\n",
" correct=2,\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"The T-state has equal \\u27E8X\\u27E9 and \\u27E8Y\\u27E9 (both 1/\\u221A2 \\u2248 0.707) \"\n",
" \"and \\u27E8Z\\u27E9 = 0, placing it on the equator at azimuthal angle \\u03C0/4.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "868d2b996fbb475ca34b1eec2a4ae3ae",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<div style=\"border:2px solid #4caf50; padding:12px 16px; margin:16px 0; border-radius:8px; background:#fafafa;\"><strong>Checkpoint \u2014 1. The T-state:</strong> 3/3 correct (100.0%)<div style=\"background:#ddd; border-radius:6px; height:18px; margin:4px 0;\"><div style=\"background:#4caf50; width:100.0%; height:100%; border-radius:6px;\"></div></div><br>Good grasp of this section. Moving on!</div>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"quiz(tracker, \"q3_why_tstate\",\n",
" question=\"Why can't we just use Clifford gates for everything?\",\n",
" options=[\n",
" \"Clifford gates are too slow on real hardware\",\n",
" \"Clifford gates cannot create entanglement\",\n",
" \"Clifford-only circuits can be efficiently simulated classically (Gottesman-Knill theorem)\",\n",
" \"Clifford gates introduce too many errors\",\n",
" ],\n",
" correct=2,\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"The Gottesman-Knill theorem proves that stabilizer circuits (Cliffords + Pauli measurements + stabilizer inputs) \"\n",
" \"can be simulated in polynomial time on a classical computer. \"\n",
" \"Adding a non-Clifford resource like the T-state breaks this and enables quantum advantage.\"\n",
" ))\n",
"\n",
"checkpoint_summary(tracker, \"1. The T-state\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 2. Three Seed Styles \u2014 Same State, Different Gates\n",
"\n",
"### Why multiple preparations?\n",
"\n",
"There is more than one way to prepare the T-state. The codebase implements three:\n",
"\n",
"| Style | Gates | Why it exists |\n",
"|-------|-------|---------------|\n",
"| `h_p` | $H \\to P(\\pi/4)$ | The textbook definition. Clearest to read. |\n",
"| `ry_rz` | $R_y(\\pi/2) \\to R_z(\\pi/4)$ | Uses rotation gates that some hardware supports natively. |\n",
"| `u_magic` | $U(\\pi/2, \\pi/4, 0)$ | Single-gate form. Fewest gates before transpilation. |\n",
"\n",
"**Why does this matter?** Different quantum processors have different **native gate sets**. IBM's processors natively support $\\{\\sqrt{X}, R_z, CX\\}$. When you write `H`, the transpiler decomposes it into native gates. A preparation that uses fewer non-native gates may transpile to a shorter, less noisy circuit.\n",
"\n",
"Let's verify all three produce the same quantum state."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"h_p : amplitudes = [0.70710678+0.j 0.5 +0.5j]\n",
"ry_rz : amplitudes = [0.65328148-0.27059805j 0.65328148+0.27059805j]\n",
"u_magic : amplitudes = [0.70710678+0.j 0.5 +0.5j]\n",
"\n",
"Fidelity(h_p, ry_rz) = 1.000000\n",
"Fidelity(h_p, u_magic) = 1.000000\n",
"Fidelity(ry_rz, u_magic) = 1.000000\n"
]
}
],
"source": [
"seed_styles = [\"h_p\", \"ry_rz\", \"u_magic\"]\n",
"states = {}\n",
"\n",
"for style in seed_styles:\n",
" qc = QuantumCircuit(1, name=style)\n",
" apply_magic_seed(qc, 0, style)\n",
" sv = Statevector.from_instruction(qc)\n",
" states[style] = sv\n",
" print(f\"{style:10s}: amplitudes = {sv.data}\")\n",
"\n",
"# Compute pairwise fidelities\n",
"print()\n",
"for s1 in seed_styles:\n",
" for s2 in seed_styles:\n",
" if s1 < s2:\n",
" fid = state_fidelity(states[s1], states[s2])\n",
" print(f\"Fidelity({s1}, {s2}) = {fid:.6f}\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 480x581 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 480x581 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 480x581 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Bloch sphere for each seed style\n",
"for style in seed_styles:\n",
" fig = plot_bloch_multivector(states[style], title=f\"Seed: {style}\")\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> **Key Insight:** All three fidelities are 1.0 (or extremely close) and the Bloch spheres all point to the same spot. The amplitudes may differ by a **global phase** factor $e^{i\\theta}$, which has no physical significance \u2014 all measurements yield identical results.\n\n> **Take-away:** The choice of seed style is not about physics (they all give the same state). It is about **engineering**: which one transpiles to the fewest noisy gates on your target hardware?"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "41366b76c8b84a8592f2e3f117f3ad0d",
"version_major": 2,
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"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"metadata": {},
"output_type": "display_data"
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{
"data": {
"text/html": [
"<div style=\"border:2px solid #4caf50; padding:12px 16px; margin:16px 0; border-radius:8px; background:#fafafa;\"><strong>Checkpoint \u2014 2. Seed styles:</strong> 1/1 correct (100.0%)<div style=\"background:#ddd; border-radius:6px; height:18px; margin:4px 0;\"><div style=\"background:#4caf50; width:100.0%; height:100%; border-radius:6px;\"></div></div><br>Good grasp of this section. Moving on!</div>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"quiz(tracker, \"q4_global_phase\",\n",
" question=\"Two states have different complex amplitudes but fidelity = 1.0. Why?\",\n",
" options=[\n",
" \"Floating-point rounding errors\",\n",
" \"A global phase factor has no physical consequence \\u2014 only relative phases matter\",\n",
" \"The Bloch sphere representation is approximate\",\n",
" ],\n",
" correct=1,\n",
" section=\"2. Seed styles\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"Multiplying all amplitudes by the same phase factor does not change any measurement outcome. \"\n",
" \"Two states related by a global phase are physically identical.\"\n",
" ))\n",
"\n",
"checkpoint_summary(tracker, \"2. Seed styles\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 3. Why Encode? The Fragility Problem\n",
"\n",
"### The dilemma\n",
"\n",
"A bare single-qubit T-state is **fragile**. Any noise \u2014 bit-flips, phase drifts, measurement crosstalk \u2014 corrupts it. And we cannot protect it the way we protect classical data:\n",
"\n",
"- **No cloning**: Quantum mechanics forbids copying an unknown quantum state.\n",
"- **No majority vote**: We cannot make 3 copies and take the majority.\n",
"- **Measurement destroys**: Reading the state to check it collapses the superposition.\n",
"\n",
"The solution is **quantum error correction**: encode the logical qubit into multiple physical qubits in a way that errors can be detected (or corrected) without revealing the logical information.\n",
"\n",
"### The [[4,2,2]] code\n",
"\n",
"The **[[4,2,2]]** code is one of the smallest useful quantum codes:\n",
"- **4** physical qubits\n",
"- **2** logical qubits (one for the T-state, one \"spectator\" in $|0\\rangle_L$)\n",
"- **Distance 2**: can **detect** any single-qubit error, but cannot correct it\n",
"\n",
"What \"distance 2\" means concretely: if **one** qubit suffers an error (X, Y, or Z), the code's stabilizer measurements will flag it. The strategy is **postselection**: discard any shot where an error was detected, and keep only the clean shots.\n",
"\n",
"This is a trade-off: you lose some shots (reduced acceptance rate) but the surviving shots have higher quality. Whether this trade-off is worthwhile depends on the noise level \u2014 we'll explore this quantitatively in Notebook 2."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
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"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
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},
"metadata": {},
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},
{
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"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"quiz(tracker, \"q5_distance_2\",\n",
" question='The [[4,2,2]] code has distance 2. What does this mean in practice?',\n",
" options=[\n",
" \"It can correct any 1-qubit error\",\n",
" \"It can detect any 1-qubit error but not correct it\",\n",
" \"It can detect any 2-qubit error\",\n",
" \"It uses 2 ancilla qubits\",\n",
" ],\n",
" correct=1,\n",
" section=\"3. Why encode\",\n",
" bloom=\"remember\",\n",
" explanation=(\n",
" \"Distance d means the code can detect up to d\\u22121 errors. \"\n",
" \"Distance 2 \\u2192 detects 1-qubit errors. \"\n",
" \"Correction requires distance \\u2265 3. \"\n",
" \"The [[4,2,2]] code uses detection + postselection instead of correction.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
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"version_major": 2,
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"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
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"data": {
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"<div style=\"border:2px solid #4caf50; padding:12px 16px; margin:16px 0; border-radius:8px; background:#fafafa;\"><strong>Checkpoint \u2014 3. Why encode:</strong> 1/1 correct (100.0%)<div style=\"background:#ddd; border-radius:6px; height:18px; margin:4px 0;\"><div style=\"background:#4caf50; width:100.0%; height:100%; border-radius:6px;\"></div></div><br>Good grasp of this section. Moving on!</div>"
],
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]
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"source": [
"quiz(tracker, \"q6_no_cloning\",\n",
" question=\"Why can't we protect a qubit by simply making backup copies?\",\n",
" options=[\n",
" \"Quantum hardware doesn't support the COPY gate yet\",\n",
" \"The no-cloning theorem forbids copying an unknown quantum state\",\n",
" \"Copies would entangle with the original and cause errors\",\n",
" ],\n",
" correct=1,\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"The no-cloning theorem (Wootters & Zurek, 1982) is a fundamental result: \"\n",
" \"there is no quantum operation that can copy an arbitrary unknown state. \"\n",
" \"This is why quantum error correction works so differently from classical error correction \\u2014 \"\n",
" \"it encodes information into entanglement patterns rather than redundant copies.\"\n",
" ))\n",
"\n",
"checkpoint_summary(tracker, \"3. Why encode\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 4. Building the Encoder Step by Step\n",
"\n",
"### What the encoder does\n",
"\n",
"The encoder takes 4 qubits in the state $|T\\rangle|0\\rangle|0\\rangle|0\\rangle$ and entangles them into a 4-qubit codeword. After encoding, **no single qubit carries the T-state information** \u2014 it is distributed across all four qubits. This redundancy is what enables error detection.\n",
"\n",
"The `cx_chain` encoder uses 5 CNOT gates and 1 Hadamard:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"cx_chain encoder circuit:\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 538.33x367.889 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Build and display the cx_chain encoder\n",
"encoder_cx = build_encoder(\"cx_chain\")\n",
"print(\"cx_chain encoder circuit:\")\n",
"fig = encoder_cx.draw('mpl', style='iqp')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reading the circuit\n",
"\n",
"| Step | Gate | What it does |\n",
"|------|------|-------------|\n",
"| 1 | CNOT(0, 2) | Spreads qubit 0's state to qubit 2 \u2014 begins creating the logical $X_L = X_0 X_2$ structure |\n",
"| 2 | CNOT(1, 0) | Entangles the spectator qubit 1 with qubit 0 |\n",
"| 3 | H(3) | Puts qubit 3 in superposition $|+\\rangle$ |\n",
"| 4-6 | CNOT(3, 0), CNOT(3, 1), CNOT(3, 2) | Qubit 3 fans out to all others, creating the $XXXX$ stabilizer structure |\n",
"\n",
"The CNOTs create **entanglement** between the qubits. After step 6, measuring any single qubit gives a random outcome \u2014 but measuring the **parity** of all four (the stabilizer) gives a deterministic result."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "c8ffe4bf788f43afb540cab02f2940e7",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "c8ffe4bf788f43afb540cab02f2940e7",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"quiz(tracker, \"q7_gate_count\",\n",
" question=\"How many 2-qubit (CNOT) gates are in the cx_chain encoder?\",\n",
" options=[\"3\", \"4\", \"5\", \"6\"],\n",
" correct=2,\n",
" section=\"4. Encoder circuit\",\n",
" bloom=\"apply\",\n",
" explanation=(\n",
" \"CX(0,2), CX(1,0), CX(3,0), CX(3,1), CX(3,2) = 5 CNOT gates. \"\n",
" \"Two-qubit gates are the noisiest operations on real hardware, so this count \"\n",
" \"is the primary driver of circuit cost.\"\n",
" ))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 5. Full Preparation Circuit\n",
"\n",
"The complete preparation is: **seed** (T-state on qubit 0) followed by **encoder** (spread across all 4 qubits).\n",
"\n",
"### What to expect\n",
"\n",
"A 4-qubit system has $2^4 = 16$ possible basis states ($|0000\\rangle$ through $|1111\\rangle$). But the encoded T-state only occupies a small subspace \u2014 the **codespace** of the [[4,2,2]] code. We expect only a few basis states to have non-zero amplitude."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "7f5e9ed02046404bbf511d479e40cc53",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#e65100; margin-bottom:8px;\">&#1\u2026"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "7f5e9ed02046404bbf511d479e40cc53",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#e65100; margin-bottom:8px;\">&#1\u2026"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predict_choice(tracker, \"q8_nonzero_amplitudes\",\n",
" question=\"How many of the 16 basis states will have non-zero amplitude in the encoded T-state?\",\n",
" options=[\"2 (just |0000\\u27E9 and |1111\\u27E9)\", \"4\", \"8\", \"All 16\"],\n",
" correct=1,\n",
" section=\"5. Encoded state\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"The [[4,2,2]] codespace has 4 basis codewords (2 logical qubits \\u2192 2\\u00b2 = 4 states). \"\n",
" \"The T-state is a superposition of |0\\u27E9_L and |1\\u27E9_L, each mapping to 2 physical states, \"\n",
" \"giving exactly 4 non-zero amplitudes.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Preparation circuit: 4 qubits, depth 7\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 705.552x367.889 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Full preparation circuit\n",
"prep = build_preparation_circuit(seed_style=\"h_p\", encoder_style=\"cx_chain\")\n",
"print(f\"Preparation circuit: {prep.num_qubits} qubits, depth {prep.depth()}\")\n",
"fig = prep.draw('mpl', style='iqp')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Statevector has 16 amplitudes (2^4 = 16)\n",
"\n",
"Non-zero amplitudes:\n",
" |0000> : 0.5000+0.0000j (magnitude: 0.5000)\n",
" |0101> : 0.3536+0.3536j (magnitude: 0.5000)\n",
" |1010> : 0.3536+0.3536j (magnitude: 0.5000)\n",
" |1111> : 0.5000+0.0000j (magnitude: 0.5000)\n"
]
}
],
"source": [
"# Compute the encoded statevector\n",
"encoded_sv = Statevector.from_instruction(prep)\n",
"print(f\"Statevector has {len(encoded_sv.data)} amplitudes (2^{prep.num_qubits} = {2**prep.num_qubits})\")\n",
"print(\"\\nNon-zero amplitudes:\")\n",
"for i, amp in enumerate(encoded_sv.data):\n",
" if abs(amp) > 1e-10:\n",
" binary = format(i, f'0{prep.num_qubits}b')\n",
" print(f\" |{binary}> : {amp:.4f} (magnitude: {abs(amp):.4f})\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpreting the output\n\n> **Key Insight:** You should see exactly **4** non-zero amplitudes: $|0000\\rangle$, $|0101\\rangle$, $|1010\\rangle$, $|1111\\rangle$. These are the codewords of the [[4,2,2]] code. Notice:\n- All four have the **same magnitude** (0.5) \u2014 equal probability\n- The **phases** encode the T-state information (the $e^{i\\pi/4}$ factor appears on $|0101\\rangle$ and $|1010\\rangle$)\n- No single qubit's measurement alone reveals the T-state \u2014 the information lives in the *correlations* between qubits"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"border:2px solid #4caf50; padding:12px 16px; margin:16px 0; border-radius:8px; background:#fafafa;\"><strong>Checkpoint \u2014 5. Encoded state:</strong> 1/1 correct (100.0%)<div style=\"background:#ddd; border-radius:6px; height:18px; margin:4px 0;\"><div style=\"background:#4caf50; width:100.0%; height:100%; border-radius:6px;\"></div></div><br>Good grasp of this section. Moving on!</div>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"checkpoint_summary(tracker, \"5. Encoded state\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 6. Stabilizer Verification \u2014 The Quantum Checksum\n",
"\n",
"### What are stabilizers?\n",
"\n",
"A **stabilizer** is an operator that leaves the code's valid states unchanged. For the [[4,2,2]] code, the two stabilizers are:\n",
"\n",
"$$XXXX = X \\otimes X \\otimes X \\otimes X \\quad\\text{and}\\quad ZZZZ = Z \\otimes Z \\otimes Z \\otimes Z$$\n",
"\n",
"A valid codeword $|\\psi\\rangle$ satisfies:\n",
"$$XXXX|\\psi\\rangle = +|\\psi\\rangle \\quad\\text{and}\\quad ZZZZ|\\psi\\rangle = +|\\psi\\rangle$$\n",
"\n",
"In terms of expectation values: $\\langle XXXX \\rangle = +1$ and $\\langle ZZZZ \\rangle = +1$.\n",
"\n",
"Think of this as a **checksum**: just as a classical checksum detects corrupted data, the stabilizer eigenvalue detects corrupted quantum states. If an error occurs, at least one stabilizer flips to $-1$."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<z_stabilizer> = <ZZZZ> = +1.000000\n",
"<x_stabilizer> = <XXXX> = +1.000000\n",
"\n",
"Both stabilizers should be +1.0 for a valid codeword.\n"
]
}
],
"source": [
"# Compute stabilizer expectation values\n",
"for name, operator in STABILIZERS.items():\n",
" expectation = encoded_sv.expectation_value(operator)\n",
" print(f\"<{name}> = <{operator.to_list()[0][0]}> = {expectation.real:+.6f}\")\n",
"\n",
"print(\"\\nBoth stabilizers should be +1.0 for a valid codeword.\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
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"model_id": "2efb7eba17864530a1bf7f4a6da64edb",
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"text/plain": [
"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"metadata": {},
"output_type": "display_data"
},
{
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"VBox(children=(HTML(value='<div style=\"font-size:14px; font-weight:600; color:#4a148c; margin-bottom:8px;\">&#9\u2026"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"quiz(tracker, \"q9_stabilizer_meaning\",\n",
" question=\"What does it mean when \\u27E8ZZZZ\\u27E9 = +1?\",\n",
" options=[\n",
" \"All four qubits are in the |0\\u27E9 state\",\n",
" \"The state is in the codespace \\u2014 no X-type error has been detected\",\n",
" \"The Z-gate has been applied to all four qubits\",\n",
" \"The state has zero energy\",\n",
" ],\n",
" correct=1,\n",
" section=\"6. Stabilizers\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"\\u27E8ZZZZ\\u27E9 = +1 means the state is an eigenstate of ZZZZ with eigenvalue +1. \"\n",
" \"This is the codespace condition. If a single X-error occurs on any qubit, \"\n",
" \"ZZZZ anti-commutes with that X, flipping the eigenvalue to \\u22121.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"quiz(tracker, \"q10_which_detects_what\",\n",
" question=\"A single Z error on qubit 3 occurs. Which stabilizer detects it?\",\n",
" options=[\n",
" \"ZZZZ (because Z commutes with Z, so ZZZZ stays at +1) \\u2014 wait, that means ZZZZ does NOT detect it\",\n",
" \"XXXX detects it (because Z anti-commutes with X)\",\n",
" \"Both XXXX and ZZZZ detect it\",\n",
" \"Neither \\u2014 Z errors are undetectable\",\n",
" ],\n",
" correct=1,\n",
" bloom=\"apply\",\n",
" explanation=(\n",
" \"Z commutes with Z (ZZ = ZZ), so ZZZZ is unaffected by a Z error. \"\n",
" \"But Z anti-commutes with X (ZX = \\u2212XZ), so XXXX flips to \\u22121. \"\n",
" \"Rule of thumb: X-errors are caught by the Z-stabilizer, and Z-errors by the X-stabilizer.\"\n",
" ))\n",
"\n",
"checkpoint_summary(tracker, \"6. Stabilizers\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 7. Error Detection in Action \u2014 Break It on Purpose\n",
"\n",
"### The experiment\n",
"\n",
"Let's deliberately inject errors and watch the stabilizers respond. We'll apply X (bit-flip), Z (phase-flip), and Y (both) errors on every qubit.\n",
"\n",
"**Prediction guide** before you run the next cell:\n",
"- An **X error** on any qubit: $X_j$ anti-commutes with $Z_j$ in $ZZZZ$, so $ZZZZ$ flips to $-1$. $XXXX$ is unaffected.\n",
"- A **Z error** on any qubit: $Z_j$ anti-commutes with $X_j$ in $XXXX$, so $XXXX$ flips to $-1$. $ZZZZ$ is unaffected.\n",
"- A **Y error** ($Y = iXZ$): both stabilizers flip to $-1$."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"predict_choice(tracker, \"q11_y_error_prediction\",\n",
" question=\"A Y error on qubit 2: how many stabilizers will flip to \\u22121?\",\n",
" options=[\"0 \\u2014 Y errors are undetectable\", \"1 \\u2014 either XXXX or ZZZZ\", \"2 \\u2014 both XXXX and ZZZZ\"],\n",
" correct=2,\n",
" section=\"7. Error detection\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"Y = iXZ contains both an X-part and a Z-part. \"\n",
" \"The X-part is caught by ZZZZ and the Z-part by XXXX. \"\n",
" \"Both stabilizers flip \\u2192 Y errors have the most distinctive syndrome signature.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Single error example: X on qubit 1\n",
"error_circuit = prep.copy()\n",
"error_circuit.x(1)\n",
"corrupted_sv = Statevector.from_instruction(error_circuit)\n",
"\n",
"print(\"Stabilizers AFTER X error on qubit 1:\")\n",
"for name, operator in STABILIZERS.items():\n",
" expectation = corrupted_sv.expectation_value(operator)\n",
" status = \"PASS\" if abs(expectation.real - 1.0) < 1e-6 else \"FAIL (error detected!)\"\n",
" print(f\" <{operator.to_list()[0][0]}> = {expectation.real:+.6f} [{status}]\")\n",
"\n",
"print(\"\\nCompare with the error-free case:\")\n",
"for name, operator in STABILIZERS.items():\n",
" expectation = encoded_sv.expectation_value(operator)\n",
" print(f\" <{operator.to_list()[0][0]}> = {expectation.real:+.6f} [PASS]\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Complete error detection table\n",
"print(\"Error detection summary:\")\n",
"print(f\"{'Error':>12s} | {'<XXXX>':>8s} | {'<ZZZZ>':>8s} | Detected by\")\n",
"print(\"-\" * 55)\n",
"\n",
"for qubit in range(4):\n",
" for error_name, error_gate in [(\"X\", \"x\"), (\"Z\", \"z\"), (\"Y\", \"y\")]:\n",
" err_circ = prep.copy()\n",
" getattr(err_circ, error_gate)(qubit)\n",
" err_sv = Statevector.from_instruction(err_circ)\n",
" xxxx = err_sv.expectation_value(STABILIZERS[\"x_stabilizer\"]).real\n",
" zzzz = err_sv.expectation_value(STABILIZERS[\"z_stabilizer\"]).real\n",
" detected_by = []\n",
" if abs(xxxx - 1.0) > 0.01:\n",
" detected_by.append(\"XXXX\")\n",
" if abs(zzzz - 1.0) > 0.01:\n",
" detected_by.append(\"ZZZZ\")\n",
" print(f\"{error_name}(q{qubit}): | {xxxx:+.4f} | {zzzz:+.4f} | {', '.join(detected_by) or 'none'}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reading the table\n\n> **Key Insight:** Every single-qubit error is caught by at least one stabilizer:\n\n| Error type | Caught by | Reason |\n|-----------|-----------|--------|\n| X (bit-flip) | ZZZZ | X anti-commutes with Z |\n| Z (phase-flip) | XXXX | Z anti-commutes with X |\n| Y (both) | XXXX and ZZZZ | Y = iXZ, so both parts are caught |\n\nThis is the **distance-2 guarantee**: the code detects all weight-1 errors. A weight-2 error (two qubits affected simultaneously) could go undetected \u2014 that's the limitation of distance 2."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"order(tracker, \"q12_error_ranking\",\n",
" instruction=\"Sort error types by number of stabilizers they trigger (fewest \\u2192 most):\",\n",
" items=[\"X\", \"Z\", \"Y\"],\n",
" correct_order=[\"X\", \"Z\", \"Y\"],\n",
" bloom=\"analyze\",\n",
" explanation=(\n",
" \"X and Z each trigger exactly 1 stabilizer (tied). \"\n",
" \"Y triggers 2. So the order is X=Z < Y. \"\n",
" \"(X and Z are interchangeable in this ranking.)\"\n",
" ),\n",
" ties=[[\"X\", \"Z\"]])\n",
"\n",
"checkpoint_summary(tracker, \"7. Error detection\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 8. Comparing Encoder Styles\n",
"\n",
"### Why two encoders?\n",
"\n",
"Just as there are multiple seed styles, there are multiple ways to build the encoder circuit. The project implements:\n",
"\n",
"| Style | Native gates | Pre-transpilation depth |\n",
"|-------|-------------|------------------------|\n",
"| `cx_chain` | CNOT (CX) | 7 |\n",
"| `cz_compiled` | CZ (controlled-Z) | 11 |\n",
"\n",
"Both produce the **exact same** logical state. The choice matters after **transpilation**: if your hardware natively supports CZ gates, then `cz_compiled` may actually be *shorter* after transpilation than `cx_chain` (which would need each CNOT decomposed into CZ + Hadamard pairs)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Compare the two encoder styles\n",
"encoder_cz = build_encoder(\"cz_compiled\")\n",
"print(\"cz_compiled encoder circuit:\")\n",
"fig = encoder_cz.draw('mpl', style='iqp')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Verify both encoders produce the same state\n",
"prep_cx = build_preparation_circuit(\"h_p\", \"cx_chain\")\n",
"prep_cz = build_preparation_circuit(\"h_p\", \"cz_compiled\")\n",
"\n",
"sv_cx = Statevector.from_instruction(prep_cx)\n",
"sv_cz = Statevector.from_instruction(prep_cz)\n",
"\n",
"fid = state_fidelity(sv_cx, sv_cz)\n",
"print(f\"Fidelity between cx_chain and cz_compiled: {fid:.6f}\")\n",
"print(f\"cx_chain depth: {prep_cx.depth()}, cz_compiled depth: {prep_cz.depth()}\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"reflect(tracker, \"q13_encoder_tradeoff\",\n",
" question=\"The cz_compiled encoder has depth 11 vs cx_chain's depth 7. When might you prefer the deeper circuit?\",\n",
" section=\"8. Encoder comparison\",\n",
" bloom=\"evaluate\",\n",
" model_answer=(\n",
" \"If the hardware natively supports CZ gates (like many superconducting processors), \"\n",
" \"cx_chain would need each CNOT decomposed into CZ + Hadamard pairs, \"\n",
" \"potentially making it deeper AFTER transpilation. \"\n",
" \"The lesson: pre-transpilation depth is misleading. \"\n",
" \"What matters is depth after transpilation to the hardware's native gate set.\"\n",
" ))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 9. Verification Circuits with Ancilla Qubits\n",
"\n",
"### The measurement problem\n",
"\n",
"We just computed $\\langle ZZZZ \\rangle$ and $\\langle XXXX \\rangle$ using the full statevector. But on a real quantum computer, we don't have access to the statevector \u2014 we can only **measure** qubits.\n",
"\n",
"**The catch:** If we measure the 4 data qubits directly, the measurement collapses the superposition and **destroys** the encoded state. We'd learn the stabilizer value, but the T-state would be gone.\n",
"\n",
"### The solution: ancilla qubits\n",
"\n",
"Instead, we use **ancilla** (helper) qubits. The idea:\n",
"1. Prepare an ancilla qubit in $|0\\rangle$\n",
"2. Apply controlled gates between the ancilla and each data qubit to transfer the stabilizer's **parity** onto the ancilla\n",
"3. Measure **only the ancilla** \u2014 the data qubits remain untouched\n",
"\n",
"The ancilla measurement result (0 or 1) tells us the stabilizer eigenvalue ($+1$ or $-1$) without collapsing the data qubits. This is called **syndrome extraction**.\n",
"\n",
"The result is a **syndrome** bitstring. For our code with two stabilizers, the syndrome is 2 bits:\n",
"- `00` \u2192 both stabilizers +1 \u2192 no error detected \u2192 **keep this shot**\n",
"- Anything else \u2192 error detected \u2192 **discard this shot** (postselection)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Build the full circuit bundle for a standard experiment\n",
"spec = ExperimentSpec(\n",
" rung=1,\n",
" seed_style=\"h_p\",\n",
" encoder_style=\"cx_chain\",\n",
" verification=\"both\",\n",
" postselection=\"all_measured\",\n",
" ancilla_strategy=\"dedicated_pair\",\n",
" shots=256,\n",
" repeats=1,\n",
")\n",
"\n",
"bundle = build_circuit_bundle(spec)\n",
"print(f\"Bundle contains:\")\n",
"print(f\" prep circuit: {bundle.prep.num_qubits} qubits (data only)\")\n",
"print(f\" acceptance circuit: {bundle.acceptance.num_qubits} qubits ({DATA_QUBITS} data + {bundle.acceptance.num_qubits - DATA_QUBITS} ancilla)\")\n",
"print(f\" witness circuits: {list(bundle.witness_circuits.keys())}\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Show the acceptance circuit\n",
"print(\"Acceptance circuit (syndrome extraction + data readout):\")\n",
"print(f\" Classical registers: {[creg.name + f'[{creg.size}]' for creg in bundle.acceptance.cregs]}\")\n",
"fig = bundle.acceptance.draw('mpl', style='iqp')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Reading the acceptance circuit\n",
"\n",
"The circuit has two **classical registers**:\n",
"- **syndrome** [2 bits]: Results from ancilla measurements. Bit 0 = $ZZZZ$ check, bit 1 = $XXXX$ check.\n",
"- **readout** [4 bits]: Results from measuring the data qubits.\n",
"\n",
"In the circuit diagram, look for:\n",
"- The **ancilla qubits** (extra qubits above/below the data register)\n",
"- **Controlled gates** connecting ancillas to data qubits (these extract the parity)\n",
"- **Measurement gates** (the meter symbol) on the ancillas and data qubits"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"quiz(tracker, \"q14_ancilla_purpose\",\n",
" question=\"Why can't we just measure the 4 data qubits to check the stabilizers?\",\n",
" options=[\n",
" \"We can, but ancillas make it faster\",\n",
" \"Direct measurement collapses the superposition and destroys the encoded state\",\n",
" \"The stabilizer operators are not physical observables\",\n",
" ],\n",
" correct=1,\n",
" section=\"9. Verification circuits\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"Measuring individual qubits in the Z basis projects them into |0\\u27E9 or |1\\u27E9, \"\n",
" \"destroying the superposition that encodes the T-state. \"\n",
" \"Ancilla-based syndrome extraction reads the stabilizer eigenvalue \"\n",
" \"without disturbing the logical information.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Show a witness circuit (logical_x)\n",
"print(\"Logical X witness circuit:\")\n",
"print(f\" Measures operator: {MEASUREMENT_OPERATORS['logical_x']}\")\n",
"fig = bundle.witness_circuits[\"logical_x\"].draw('mpl', style='iqp')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"quiz(tracker, \"q15_three_circuits\",\n",
" question=\"The bundle has 3 witness circuits (logical_x, logical_y, spectator_z). Why not measure all operators in one circuit?\",\n",
" options=[\n",
" \"The operators don't commute \\u2014 measuring one would disturb the others\",\n",
" \"It would require too many qubits\",\n",
" \"The simulator can only handle one operator at a time\",\n",
" ],\n",
" correct=0,\n",
" bloom=\"analyze\",\n",
" explanation=(\n",
" \"Logical X (X\\u2080X\\u2082) and Logical Y (Y\\u2080Z\\u2081X\\u2082) do not commute. \"\n",
" \"Measuring one changes the state in a way that invalidates the other measurement. \"\n",
" \"So each must be measured on a separate, independently prepared copy of the state.\"\n",
" ))\n",
"\n",
"checkpoint_summary(tracker, \"9. Verification circuits\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 10. Running an Ideal Simulation\n",
"\n",
"### What to expect\n",
"\n",
"In a **noiseless** simulation, the state is always in the codespace. That means:\n",
"- Both stabilizers always return +1\n",
"- Syndrome is always `00`\n",
"- **Every** shot passes postselection \u2192 acceptance rate = 100%\n",
"\n",
"This is our baseline. Real hardware will be much noisier."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Run on ideal AerSimulator\n",
"sim = AerSimulator()\n",
"shots = 512\n",
"\n",
"result = sim.run(bundle.acceptance, shots=shots).result()\n",
"counts = result.get_counts()\n",
"\n",
"print(f\"Ran {shots} shots on ideal simulator.\")\n",
"print(f\"Number of distinct outcomes: {len(counts)}\")\n",
"print(f\"\\nRaw counts (syndrome + readout):\")\n",
"for bitstring, count in sorted(counts.items(), key=lambda x: -x[1]):\n",
" parts = bitstring.split(\" \")\n",
" if len(parts) == 2:\n",
" syndrome, readout = parts[0], parts[1]\n",
" else:\n",
" syndrome, readout = \"\", parts[0]\n",
" print(f\" syndrome={syndrome} readout={readout} : {count} shots ({100*count/shots:.1f}%)\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"quiz(tracker, \"q16_ideal_acceptance\",\n",
" question=\"In the ideal simulation above, what fraction of shots have syndrome = '00'?\",\n",
" options=[\"About 25%\", \"About 50%\", \"About 75%\", \"100%\"],\n",
" correct=3,\n",
" section=\"10. Ideal simulation\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"With no noise, the state never leaves the codespace. \"\n",
" \"Every stabilizer measurement returns +1, giving syndrome 00 on every shot.\"\n",
" ))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Visualize\n",
"fig = plot_histogram(counts, figsize=(12, 5), title=\"Ideal Simulation: Syndrome + Readout\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 11. Postselection \u2014 Keeping Only the Good Shots\n",
"\n",
"### The idea\n",
"\n",
"**Postselection** is a filter: after collecting all measurement results, we look at the syndrome bits and **discard** any shot where the syndrome indicates an error was detected.\n",
"\n",
"In the ideal case (above), this filter has no effect \u2014 all shots pass. But under noise (Notebook 2), many shots will fail the syndrome check. The trade-off:\n",
"\n",
"| | Without postselection | With postselection |\n",
"|---|---|---|\n",
"| **Shots used** | All | Only syndrome = \"00\" |\n",
"| **Quality** | Lower (includes error-corrupted shots) | Higher (only clean shots) |\n",
"| **Statistical power** | More data points | Fewer data points |\n",
"| **Cost** | Lower | Higher (need more total shots for same statistics) |\n",
"\n",
"The scoring formula in this project captures this tension directly:\n",
"\n",
"$$\\text{score} = \\frac{\\text{quality} \\times \\text{acceptance\\_rate}}{\\text{cost}}$$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"from autoresearch_quantum.execution.analysis import (\n",
" postselection_passes, local_memory_records, summarize_context,\n",
")\n",
"\n",
"# Run with memory to access individual shot records\n",
"shots = 1024\n",
"sim = AerSimulator()\n",
"result = sim.run(bundle.acceptance, shots=shots, memory=True).result()\n",
"memory = result.get_memory(bundle.acceptance)\n",
"\n",
"# Parse into structured records\n",
"records = local_memory_records(memory, [creg.name for creg in bundle.acceptance.cregs])\n",
"syndrome_labels = bundle.acceptance.metadata.get(\"syndrome_labels\", [])\n",
"postselection_rule = bundle.acceptance.metadata.get(\"postselection\", \"all_measured\")\n",
"\n",
"summary = summarize_context(records, syndrome_labels, postselection_rule)\n",
"\n",
"print(f\"Total shots: {summary['total_shots']}\")\n",
"print(f\"Accepted shots: {summary['accepted_shots']}\")\n",
"print(f\"Acceptance rate: {summary['acceptance_rate']:.4f}\")\n",
"print(f\"\\nSyndrome distribution:\")\n",
"for syndrome, count in sorted(summary['syndrome_counts'].items()):\n",
" pct = count / summary['total_shots'] * 100\n",
" label = \"PASS\" if all(b == '0' for b in syndrome) else \"FAIL\"\n",
" print(f\" syndrome={syndrome} count={count:4d} ({pct:5.1f}%) [{label}]\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"quiz(tracker, \"q17_postselection_cost\",\n",
" question=\"What is the fundamental cost of postselection?\",\n",
" options=[\n",
" \"It makes the circuit deeper and noisier\",\n",
" \"It throws away shots, reducing the amount of usable data\",\n",
" \"It introduces classical computation overhead\",\n",
" \"It requires extra qubits\",\n",
" ],\n",
" correct=1,\n",
" section=\"11. Postselection\",\n",
" bloom=\"understand\",\n",
" explanation=(\n",
" \"Postselection discards shots where errors were detected. \"\n",
" \"Fewer usable shots means worse statistics or more total shots needed. \"\n",
" \"This is why acceptance_rate appears in the scoring formula \\u2014 \"\n",
" \"a code that rejects 90% of shots must produce 10x the quality to break even.\"\n",
" ))\n",
"\n",
"checkpoint_summary(tracker, \"11. Postselection\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## 12. Summary\n",
"\n",
"In this notebook you learned:\n",
"\n",
"| Concept | What you now know |\n",
"|---------|------------------|\n",
"| **T-state** | The non-Clifford resource $|T\\rangle = (|0\\rangle + e^{i\\pi/4}|1\\rangle)/\\sqrt{2}$ needed for universal QC |\n",
"| **Seed styles** | Three equivalent gate sequences (h_p, ry_rz, u_magic) \u2014 same physics, different engineering trade-offs |\n",
"| **[[4,2,2]] code** | 4 physical qubits, 2 logical qubits, distance 2 \u2014 detects but doesn't correct single errors |\n",
"| **Stabilizers** | XXXX and ZZZZ act as quantum checksums \u2014 eigenvalue +1 means \"no error\" |\n",
"| **Error detection** | X\u2192caught by ZZZZ, Z\u2192caught by XXXX, Y\u2192caught by both |\n",
"| **Ancilla qubits** | Allow syndrome extraction without destroying the encoded state |\n",
"| **Postselection** | Discard error-flagged shots to improve quality at the cost of acceptance rate |\n",
"\n",
"**Next up (Notebook 2):** What happens when we add realistic noise? How bad does it get? And how do we measure whether the encoding actually *helped*? We'll introduce the magic witness formula, the full scoring function, and explore how noise degrades each metric."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## Final Assessment"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"tracker.dashboard()\n",
"path = tracker.save()\n",
"print(f\"\\nProgress saved to: {path}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"## Navigation\n",
"\n",
"**\u2192 Next: [Notebook 2 \u2014 Measuring Progress](02_measuring_progress.ipynb)**\n",
"\n",
"*\u2190 Back to [Start Here](../00_START_HERE.ipynb)*"
],
"id": "nav-footer-01"
}
],
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