From 78b0960749c6e02325bb71fcd80df900778274be Mon Sep 17 00:00:00 2001
From: "Kevin J. Sung" <kevjsung@umich.edu>
Date: Tue, 4 Jun 2024 10:22:34 -0400
Subject: [PATCH] update stabilizer-circuit-simulation.ipynb for primitives v2

---
 .../stabilizer-circuit-simulation.ipynb       | 66 +++++++++++--------
 1 file changed, 39 insertions(+), 27 deletions(-)

diff --git a/docs/verify/stabilizer-circuit-simulation.ipynb b/docs/verify/stabilizer-circuit-simulation.ipynb
index 2ff2cef98d7..ba65e64ae3c 100644
--- a/docs/verify/stabilizer-circuit-simulation.ipynb
+++ b/docs/verify/stabilizer-circuit-simulation.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "cf304757-1588-4840-ab5c-ae5e78db8dae",
+   "id": "e6d26387-f218-4f62-80c4-792103129b99",
    "metadata": {},
    "source": [
     "# Efficient simulation of stabilizer circuits with Qiskit Aer primitives\n",
@@ -27,14 +27,12 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "b1a79c45-1e73-4125-95d0-61a54fca9231",
+   "id": "2d26ac3e-2a6a-4d73-900f-470200a63154",
    "metadata": {},
    "outputs": [
     {
      "data": {
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",
       "text/plain": [
        "<Figure size 1708.89x702.333 with 1 Axes>"
       ]
@@ -54,7 +52,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6830cab0-fdeb-4a5c-b5bf-28808525bee2",
+   "id": "9f72e683-a828-456d-a5d4-910758cc9add",
    "metadata": {},
    "source": [
     "Using Qiskit Aer, we were able to simulate this circuit easily. However, suppose we set the number of qubits to 500:"
@@ -63,7 +61,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "4e18c664-ffbe-4b0f-86ab-d3f14b7048bc",
+   "id": "43c8277f-3f0d-4d31-a1c2-e4c541083f5d",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -74,7 +72,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8c188c2-7ccb-4c33-bb29-fce3aef25a98",
+   "id": "ecd975b0-2ec0-4a99-a0f6-790d43af19fb",
    "metadata": {},
    "source": [
     "Because the cost of simulating quantum circuits scales exponentially with the number of qubits, such a large circuit would generally exceed the capabilities of even a high-performance simulator like Qiskit Aer. Classical simulation of generic quantum circuits becomes infeasible when the number of qubits exceeds roughly 50 to 100 qubits. However, note that the EfficientSU2 circuit is parameterized by angles on $R_y$ and $R_z$ gates. If all of these angles are contained in the set $\\{0, \\frac{\\pi}{2}, \\pi, \\frac{3\\pi}{2}\\}$, then the circuit is a stabilizer circuit, and it can be efficiently simulated!\n",
@@ -85,12 +83,14 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "67fda5c0-bd02-4b94-9a18-1cab0a1fef9f",
+   "id": "2210bbe3-1a89-48fe-a4ea-f3c9b1cd37d0",
    "metadata": {},
    "outputs": [],
    "source": [
     "import numpy as np\n",
-    "from qiskit_aer.primitives import Sampler\n",
+    "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
+    "from qiskit_aer import AerSimulator\n",
+    "from qiskit_aer.primitives import SamplerV2 as Sampler\n",
     "\n",
     "measured_circuit = circuit.copy()\n",
     "measured_circuit.measure_all()\n",
@@ -102,14 +102,20 @@
     ")\n",
     "\n",
     "# Initialize a Sampler backed by the stabilizer circuit simulator\n",
-    "exact_sampler = Sampler(backend_options=dict(method=\"stabilizer\"))\n",
-    "job = exact_sampler.run(measured_circuit, params)\n",
-    "exact_quasis = job.result().quasi_dists[0]"
+    "exact_sampler = Sampler(options=dict(backend_options=dict(method=\"stabilizer\")))\n",
+    "# The circuit needs to be transpiled to the AerSimulator target\n",
+    "pass_manager = generate_preset_pass_manager(1, AerSimulator(method=\"stabilizer\"))\n",
+    "isa_circuit = pass_manager.run(measured_circuit)\n",
+    "pub = (isa_circuit, params)\n",
+    "job = exact_sampler.run([pub])\n",
+    "result = job.result()\n",
+    "pub_result = result[0]\n",
+    "counts = pub_result.data.meas.get_counts()"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a95b4088-0ec4-4e5e-a40b-152a5c95c6fa",
+   "id": "445694b0-3e5b-4fc2-a610-f86674065045",
    "metadata": {},
    "source": [
     "The stabilizer circuit simulator also supports noisy simulation, but only for a restricted class of noise models. Specifically, any quantum noise must be characterized by a [Pauli error](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.pauli_error.html#qiskit_aer.noise.pauli_error) channel. [Depolarizing error](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.depolarizing_error.html) falls into this category, so it can be simulated too. Classical noise channels like [readout error](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.ReadoutError.html) can also be simulated.\n",
@@ -120,7 +126,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "f854cec6-b041-4cfe-a850-5c7bd72e27dc",
+   "id": "71dd8d78-6efd-4c4e-900a-1d73deafe46e",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -142,15 +148,17 @@
     ")\n",
     "\n",
     "noisy_sampler = Sampler(\n",
-    "    backend_options=dict(method=\"stabilizer\", noise_model=noise_model)\n",
+    "    options=dict(backend_options=dict(method=\"stabilizer\", noise_model=noise_model))\n",
     ")\n",
-    "job = noisy_sampler.run(measured_circuit, params)\n",
-    "noisy_quasis = job.result().quasi_dists[0]"
+    "job = noisy_sampler.run([pub])\n",
+    "result = job.result()\n",
+    "pub_result = result[0]\n",
+    "counts = pub_result.data.meas.get_counts()"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "015328f7-0c1d-4ce3-9ad6-e2e915f5c9fb",
+   "id": "01b3e796-bd06-419f-a2fc-55c8603f662f",
    "metadata": {},
    "source": [
     "Now, let's use the Estimator primitive backed by the stabilizer simulator to compute the expectation value of the observable $ZZ \\cdots Z$. Due to the special structure of stabilizer circuits, the result is very likely to be 0."
@@ -159,13 +167,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "0368b5d0-88d3-4cb3-b592-02ead9b744ea",
+   "id": "57fb0674-5bd2-44b0-a28e-e73deff455cf",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "0.056640625"
+       "0.0"
       ]
      },
      "execution_count": 5,
@@ -175,21 +183,25 @@
    ],
    "source": [
     "from qiskit.quantum_info import SparsePauliOp\n",
-    "from qiskit_aer.primitives import Estimator\n",
+    "from qiskit_aer.primitives import EstimatorV2 as Estimator\n",
     "\n",
     "observable = SparsePauliOp(\"Z\" * n_qubits)\n",
     "\n",
     "exact_estimator = Estimator(\n",
-    "    backend_options=dict(method=\"stabilizer\"),\n",
+    "    options=dict(backend_options=dict(method=\"stabilizer\")),\n",
     ")\n",
-    "job = exact_estimator.run(circuit, observable, params)\n",
-    "exact_value = job.result().values[0]\n",
+    "isa_circuit = pass_manager.run(circuit)\n",
+    "pub = (isa_circuit, observable, params)\n",
+    "job = exact_estimator.run([pub])\n",
+    "result = job.result()\n",
+    "pub_result = result[0]\n",
+    "exact_value = float(pub_result.data.evs)\n",
     "exact_value"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "8bbf2886-f046-414e-ad79-55451fc7e6be",
+   "id": "9d5e6593-06f0-4e1b-a4f0-7b640a74f6c5",
    "metadata": {},
    "source": [
     "## Next steps\n",
@@ -223,5 +235,5 @@
   "title": "Efficient simulation of stabilizer circuits with Qiskit Aer primitives"
  },
  "nbformat": 4,
- "nbformat_minor": 2
+ "nbformat_minor": 4
 }