{ "cells": [ { "cell_type": "markdown", "id": "38de8ef2", "metadata": {}, "source": [ "---\n", "title: Quickstart\n", "description: A quickstart guide for the Shaded lightcones Qiskit addon (qiskit-addon-slc)\n", "---\n", "\n", "# Quickstart\n", "\n", "This guide demonstrates a minimal working example of the `qiskit-addon-slc` package. It calculates a shaded lightcone to reduce the sampling cost of probabilistic error cancellation (PEC).\n", "\n", "PEC mitigates gate noise by sampling from a quasiprobability decomposition of the inverse noise channel. Its sampling cost grows with every error term it must mitigate; however, not every error affects the observable equally. An error outside the observable's causal lightcone cannot influence the measured expectation value, and even within the lightcone, some errors are more detrimental than others. A shaded lightcone quantifies this by bounding the effect each Pauli error term has on the observable. Truncating the error terms with the smallest effect shrinks the noise model that PEC has to mitigate, reducing sampling cost in exchange for a small, bounded bias.\n", "\n", "To see how to build a realistic workflow and run on quantum hardware, check out the [Probabilistic error cancellation with shaded lightcones](https://quantum.cloud.ibm.com/docs/tutorials/pec-with-shaded-lightcones) tutorial on IBM Quantum Platform." ] }, { "cell_type": "markdown", "id": "71bc0134", "metadata": {}, "source": [ "## 1. Prepare the inputs for SLC\n", "\n", "First, build a 10-qubit Trotterized transverse-field Ising circuit and choose a single-qubit $Z$ observable on the middle qubit." ] }, { "cell_type": "code", "execution_count": 1, "id": "0fff4e37", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Observable: IIIIZIIIII\n" ] }, { "data": { "image/png": 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", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from qiskit import QuantumCircuit\n", "from qiskit.quantum_info import Pauli\n", "\n", "\n", "def trotter_ising_circuit(num_qubits, num_steps, rx_angle, rzz_angle):\n", " \"\"\"Trotterized transverse-field Ising evolution on a 1D chain.\"\"\"\n", " circuit = QuantumCircuit(num_qubits)\n", " for _ in range(num_steps):\n", " circuit.rx(rx_angle, range(num_qubits))\n", " circuit.barrier()\n", " for start in (0, 1): # even then odd bonds\n", " for i in range(start, num_qubits - 1, 2):\n", " circuit.rzz(rzz_angle, i, i + 1)\n", " circuit.barrier()\n", " return circuit\n", "\n", "\n", "num_qubits = 10\n", "circuit = trotter_ising_circuit(num_qubits, num_steps=4, rx_angle=np.pi / 16, rzz_angle=-np.pi / 3)\n", "\n", "# Measure on the middle qubit\n", "observable = Pauli(\"I\" * num_qubits).compose(\"Z\", [num_qubits // 2])\n", "\n", "print(f\"Observable: {observable}\")\n", "circuit.draw(\"mpl\", fold=-1, scale=0.7)" ] }, { "cell_type": "markdown", "id": "9a732427", "metadata": {}, "source": [ "SLC operates on the noisy two-qubit-gate layers of the circuit. Here we use ``samplomatic`` to group the gates into annotated boxes and attach a noise-injection annotation to each two-qubit layer. SLC requires every noisy box to have a unique `modifier_ref`, which `inject_noise_strategy=\"individual_modification\"` provides; with samplomatic's default strategy, the bounds come out wrong or their computation never finishes. `generate_noise_model_paulis` then enumerates the Pauli error terms of every unique noisy layer." ] }, { "cell_type": "code", "execution_count": 2, "id": "3f4301ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Noisy layers: 2\n", "Pauli error terms across all layers: 198\n" ] } ], "source": [ "from qiskit_addon_slc.utils import generate_noise_model_paulis\n", "from samplomatic.transpiler import generate_boxing_pass_manager\n", "from samplomatic.utils import find_unique_box_instructions\n", "\n", "# Group gates into boxes and annotate each two-qubit layer with a noise-injection point\n", "boxing_pass = generate_boxing_pass_manager(\n", " inject_noise_targets=\"all\",\n", " inject_noise_strategy=\"individual_modification\", # required: one modifier_ref per box\n", " inject_noise_site=\"after\",\n", " twirling_strategy=\"active\",\n", " remove_barriers=\"never\",\n", ")\n", "boxed_circuit = boxing_pass.run(circuit)\n", "\n", "# Enumerate the 1- and 2-weight Pauli error terms of each unique noisy layer\n", "noise_model_paulis = generate_noise_model_paulis(find_unique_box_instructions(boxed_circuit))\n", "\n", "num_terms = sum(len(paulis) for paulis in noise_model_paulis.values())\n", "print(f\"Noisy layers: {len(noise_model_paulis)}\")\n", "print(f\"Pauli error terms across all layers: {num_terms}\")" ] }, { "cell_type": "markdown", "id": "97101eed", "metadata": {}, "source": [ "## 2. Compute the shaded lightcone\n", "\n", "The shaded lightcone is assembled by assigning a scale to each Pauli error term in the noise model based on how much effect it has on the observable expectation value. These scales are derived from each error term's forward and backward error bounds (described below), as well as its error rate:\n", "\n", "- `compute_forward_bounds` evolves each error term *forward* to the end of the circuit to bound its effect on the observable measured there.\n", "- `compute_backward_bounds` evolves each error term *backward* to the start of the circuit to bound its effect on the initial state.\n", "\n", "`merge_bounds` combines the two into a single bound per error term. Each bound is scaled by the term's error rate. These rates typically come from a noise learning experiment (such as `NoiseLearnerV3`); this guide uses random rates for simplicity." ] }, { "cell_type": "code", "execution_count": 3, "id": "82205ea3", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Optimal spacetime partitioning not implemented!Just partitioning list of noisy boxes.\n" ] } ], "source": [ "from qiskit.quantum_info import PauliLindbladMap, QubitSparsePauliList\n", "from qiskit_addon_slc.bounds import (\n", " compute_backward_bounds,\n", " compute_forward_bounds,\n", " merge_bounds,\n", ")\n", "\n", "forward_bounds = compute_forward_bounds(boxed_circuit, noise_model_paulis, observable)\n", "backward_bounds = compute_backward_bounds(boxed_circuit, noise_model_paulis)\n", "\n", "# Stand-in for rates that would be measured by a noise-learning experiment on hardware\n", "rng = np.random.default_rng(42)\n", "noise_rates = {\n", " layer_id: PauliLindbladMap.from_components(\n", " rng.random(len(paulis)) * 5e-3,\n", " QubitSparsePauliList.from_sparse_list(paulis.to_sparse_list(), paulis.num_qubits),\n", " )\n", " for layer_id, paulis in noise_model_paulis.items()\n", "}\n", "\n", "merged_bounds = merge_bounds(boxed_circuit, forward_bounds, backward_bounds, noise_rates)" ] }, { "cell_type": "markdown", "id": "c324ebd6", "metadata": {}, "source": [ "In the shaded lightcone visualization below, each box is shaded by how strongly the errors at that site can affect the observable. Bright boxes carry the largest bounds, while boxes that fade to the background contain error terms that have little effect on the calculation -- these errors are natural candidates to drop from the noise model. The values in the visualization below represent sums of the error bounds of all Pauli errors at that site, which is why some of the values grow larger than ``2.0``, the bound for any single Pauli error." ] }, { "cell_type": "code", "execution_count": 4, "id": "a2201cec", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_slc.visualization import draw_shaded_lightcone\n", "\n", "draw_shaded_lightcone(boxed_circuit, merged_bounds, noise_model_paulis, fold=-1, scale=0.5)" ] }, { "cell_type": "markdown", "id": "42483e78", "metadata": {}, "source": [ "## 3. Reduce the sampling cost\n", "\n", "`compute_local_scales` turns the shaded lightcone into a concrete PEC configuration. It prioritizes error terms by their bounded effect on the observable and truncates the least impactful ones until the requested `bias_tolerance` is reached. It returns scales for each error term: `0.0` for terms to ignore during mitigation and `-1.0` for terms that should be mitigated. The function also returns the resulting **sampling cost** overhead ($\\gamma^2$) and a bound on the **residual bias** incurred by the truncation.\n", "\n", "Setting `bias_tolerance=0.0` mitigates every error term within the causal lightcone of the observable and gives a baseline sampling cost. Allowing a small bias lets SLC drop the low-impact terms and reduce that cost further." ] }, { "cell_type": "code", "execution_count": 5, "id": "31fe87d9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full PEC (bias_tolerance=0.0) : sampling cost 21.206, residual bias 0.000\n", "Shaded (bias_tolerance=0.05): sampling cost 5.403, residual bias 0.049\n", "\n", "Sampling-cost reduction: 75% for <= 0.05 bias\n" ] } ], "source": [ "from qiskit_addon_slc.bounds import compute_local_scales\n", "\n", "_, full_cost, full_bias = compute_local_scales(\n", " boxed_circuit, merged_bounds, noise_rates, bias_tolerance=0.0\n", ")\n", "local_scales, reduced_cost, reduced_bias = compute_local_scales(\n", " boxed_circuit, merged_bounds, noise_rates, bias_tolerance=0.05\n", ")\n", "\n", "print(\n", " f\"Full PEC (bias_tolerance=0.0) : sampling cost {full_cost:6.3f}, residual bias {full_bias:5.3f}\"\n", ")\n", "print(\n", " f\"Shaded (bias_tolerance=0.05): sampling cost {reduced_cost:6.3f}, residual bias {reduced_bias:5.3f}\"\n", ")\n", "print(f\"\\nSampling-cost reduction: {(1 - reduced_cost / full_cost):.0%} for <= 0.05 bias\")" ] }, { "cell_type": "code", "execution_count": null, "id": "e22e62ff-a3ab-4c9a-85ba-b18dcdf9f7a3", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.15" } }, "nbformat": 4, "nbformat_minor": 5 }