{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "66073a7e", "metadata": { "execution": { "iopub.execute_input": "2024-04-26T18:19:38.717167Z", "iopub.status.busy": "2024-04-26T18:19:38.716889Z", "iopub.status.idle": "2024-04-26T18:19:38.721178Z", "shell.execute_reply": "2024-04-26T18:19:38.720673Z" }, "nbsphinx": "hidden" }, "outputs": [], "source": [ "# Copyright 2024 Keysight Technologies Inc." ] }, { "cell_type": "raw", "id": "e9edcfdf", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Example: Randomly Compiling Arbitrary Multi-qudit Gates\n", "=======================================================\n", "\n", "This example shows how to use the :py:class:`~trueq.compilation.RCKak` compiler pass\n", "to randomly compile circuits with non-Clifford multi-qudit gates.\n", "Randomizing and correction cycles can be applied around hard cycles in the circuit\n", "without the need to first convert all entangling gates into Clifford operations.\n", "\n", "Generating randomly compiled circuits\n", "-------------------------------------\n", "\n", "Consider some circuit with alternating easy and hard cycles, where entangling gates\n", "are considered to be hard, and single-qubit gates are considered to be easy:" ] }, { "cell_type": "code", "execution_count": 2, "id": "8946f227", "metadata": { "execution": { "iopub.execute_input": "2024-04-26T18:19:38.723536Z", "iopub.status.busy": "2024-04-26T18:19:38.723135Z", "iopub.status.idle": "2024-04-26T18:19:41.078502Z", "shell.execute_reply": "2024-04-26T18:19:41.078032Z" } }, "outputs": [ { "data": { "text/html": [ "
0 1 3 4 Key: Labels: (1,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: ZX: -96.33 ZY: -69.70 IX: 64.54 XY: -58.04 XZ: 51.53 YY: 51.52 XI: -38.77 ... 0.65 -0.04j 0.46 0.22j 0.27 -0.24j -0.21 0.38j -0.61 -0.07j 0.27 -0.08j 0.04 0.00j -0.62 0.39j -0.26 0.31j 0.75 0.05j 0.03 -0.12j 0.28 -0.41j -0.17 -0.06j -0.22 -0.20j 0.82 -0.43j 0.06 -0.15j Labels: (1,) Name: Gate.t Aliases: Gate.t Generators: Z: 45.00 1.00 0.71 0.71j T Labels: (3,) Name: Gate Generators: Y: -76.52 X: -32.90 Z: -18.23 0.75 0.08j 0.63 0.21j -0.58 0.31j 0.72 -0.21j Labels: (1, 3) Name: FSim Parameters: theta: 11.00 phi: 13.00 Locally Equivalent: Non-Clifford Generators: YY: 11.00 XX: 11.00 ZI: 6.50 ZZ: -6.50 IZ: 6.50 YX: -0.00 XY: 0.00 1.00 -0.06j 0.98 -0.06j -0.01 -0.19j -0.01 -0.19j 0.98 -0.06j 0.99 0.17j Labels: (1,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: ZX: -96.33 ZY: -69.70 IX: 64.54 XY: -58.04 XZ: 51.53 YY: 51.52 XI: -38.77 ... 0.65 -0.04j 0.46 0.22j 0.27 -0.24j -0.21 0.38j -0.61 -0.07j 0.27 -0.08j 0.04 0.00j -0.62 0.39j -0.26 0.31j 0.75 0.05j 0.03 -0.12j 0.28 -0.41j -0.17 -0.06j -0.22 -0.20j 0.82 -0.43j 0.06 -0.15j Labels: (1,) Name: Gate.t Aliases: Gate.t Generators: Z: 45.00 1.00 0.71 0.71j T Labels: (3,) Name: Gate Generators: Y: -76.52 X: -32.90 Z: -18.23 0.75 0.08j 0.63 0.21j -0.58 0.31j 0.72 -0.21j Labels: (1, 3) Name: FSim Parameters: theta: 11.00 phi: 13.00 Locally Equivalent: Non-Clifford Generators: YY: 11.00 XX: 11.00 ZI: 6.50 ZZ: -6.50 IZ: 6.50 YX: -0.00 XY: 0.00 1.00 -0.06j 0.98 -0.06j -0.01 -0.19j -0.01 -0.19j 0.98 -0.06j 0.99 0.17j Labels: (1,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H 1 Labels: (0,) Name: Meas M Labels: (1,) Name: Meas M Labels: (3,) Name: Meas M Labels: (4,) Name: Meas M
" ], "text/plain": [ "DisplayWrapper( 0 1 3 4 Key: twirl: Paulis on [0, 1, 3, 4] protocol: RC Labels: (0,) Name: Gate Generators: Y: -213.26 Z: 37.03 X: 34.75 -0.18 -0.33j 0.83 0.42j -0.65 -0.66j -0.36 -0.07j Labels: (1,) Name: Gate Generators: Z: 122.97 Y: -108.75 X: 2.26 -0.33 -0.68j 0.52 -0.40j -0.54 0.38j 0.55 0.52j Labels: (3,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID Labels: (4,) Name: Gate.cliff13 Aliases: Gate.cliff13 Generators: Z: 127.28 X: -127.28 0.71 -0.71 -0.71 -0.71 13 2 Labels: (0, 1) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate Generators: Y: -89.81 X: -6.80 Z: -6.80 0.71 0.05j 0.71 0.05j -0.71 0.05j 0.71 -0.05j Labels: (1,) Name: Gate Generators: X: 180.00 Y: -0.89 1.00 0.00j 1.00 -0.00j Labels: (3,) Name: Gate.y Aliases: Gate.y Gate.cliff2 Generators: Y: -180.00 1.00 -1.00 Y Labels: (4,) Name: Gate.y Aliases: Gate.y Gate.cliff2 Generators: Y: -180.00 1.00 -1.00 Y 3 Labels: (0, 1) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.cliff6 Aliases: Gate.cliff6 Generators: Y: -90.00 0.71j 0.71j -0.71j 0.71j 6 Labels: (1,) Name: Gate Generators: Y: -151.60 X: -97.05 0.84 0.54j -0.84 0.54j Labels: (3,) Name: Gate.z Aliases: Gate.z Gate.cliff3 Generators: Z: -180.00 1.00 -1.00 Z Labels: (4,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID 4 Labels: (0, 1) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate Generators: Z: 170.19 X: -35.02 Y: -30.46 0.89 -0.37j -0.11 0.24j -0.25 -0.08j -0.87 0.42j Labels: (1,) Name: Gate Generators: Y: -111.26 X: 106.06 Z: 92.91 0.38 -0.35j 0.85 0.05j 0.01 -0.86j -0.38 0.36j Labels: (3,) Name: Gate Generators: Z: 90.01 X: -88.71 Y: 34.76 0.66 0.36j -0.64 -0.18j -0.59 0.30j -0.58 0.47j Labels: (4,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID 5 Labels: (1, 3) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID Labels: (1,) Name: Gate Generators: X: 77.30 Z: 77.30 Y: -63.72 0.55 0.45j 0.55 0.45j 0.55 -0.45j -0.55 0.45j Labels: (3,) Name: Gate Generators: Z: -6.50 1.00 0.06j 1.00 -0.06j Labels: (4,) Name: Gate.x Aliases: Gate.x Gate.cliff1 Generators: X: 180.00 1.00 1.00 X 6 Labels: (1, 3) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.x Aliases: Gate.x Gate.cliff1 Generators: X: 180.00 1.00 1.00 X Labels: (1,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: X: -127.28 Z: -127.28 0.71j 0.71j 0.71j -0.71j H Labels: (3,) Name: Gate Generators: Z: 169.00 1.00 0.10j -1.00 0.10j Labels: (4,) Name: Gate.y Aliases: Gate.y Gate.cliff2 Generators: Y: -180.00 1.00 -1.00 Y 7 Labels: (1, 3) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate Generators: X: 150.08 Z: 54.97 Y: 24.45 -0.18 -0.33j -0.83 -0.42j -0.65 -0.66j 0.36 0.07j Labels: (1,) Name: Gate Generators: Y: -271.06 X: 42.81 Z: -5.07 -0.56 0.48j 0.45 -0.51j -0.58 0.35j -0.57 0.46j Labels: (3,) Name: Gate Generators: X: 72.52 Y: 63.97 Z: 63.97 0.43 0.56j 0.56 -0.43j 0.50 0.50j -0.50 0.50j Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: X: -127.28 Z: -127.28 0.71j 0.71j 0.71j -0.71j H 8 Labels: (0, 1) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate Generators: Y: 89.81 Z: 6.80 X: -6.80 0.71 -0.05j -0.71 0.05j 0.71 0.05j 0.71 0.05j Labels: (1,) Name: Gate Generators: Z: 179.43 1.00 0.00j -1.00 0.00j Labels: (3,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID Labels: (4,) Name: Gate.y Aliases: Gate.y Gate.cliff2 Generators: Y: -180.00 1.00 -1.00 Y 9 Labels: (0, 1) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: X: -127.28 Z: -127.28 0.71j 0.71j 0.71j -0.71j H Labels: (1,) Name: Gate Generators: Z: -65.25 0.84 0.54j 0.84 -0.54j Labels: (3,) Name: Gate.y Aliases: Gate.y Gate.cliff2 Generators: Y: -180.00 1.00 -1.00 Y Labels: (4,) Name: Gate.z Aliases: Gate.z Gate.cliff3 Generators: Z: -180.00 1.00 -1.00 Z 10 Labels: (0, 1) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate Generators: Y: -154.57 Z: -27.67 X: 5.03 0.25 0.08j 0.87 -0.42j -0.89 0.37j 0.11 -0.24j Labels: (1,) Name: Gate Generators: Y: -111.26 X: 106.06 Z: 92.91 0.38 -0.35j 0.85 0.05j 0.01 -0.86j -0.38 0.36j Labels: (3,) Name: Gate Generators: X: 97.94 Z: 96.53 Y: -64.90 -0.64 -0.18j -0.66 -0.36j -0.58 0.47j 0.59 -0.30j Labels: (4,) Name: Gate.x Aliases: Gate.x Gate.cliff1 Generators: X: 180.00 1.00 1.00 X 11 Labels: (1, 3) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.y Aliases: Gate.y Gate.cliff2 Generators: Y: -180.00 1.00 -1.00 Y Labels: (1,) Name: Gate Generators: X: 77.30 Z: 77.30 Y: -63.72 0.55 0.45j 0.55 0.45j 0.55 -0.45j -0.55 0.45j Labels: (3,) Name: Gate Generators: X: -179.71 Y: -10.20 -1.00 0.06j -1.00 -0.06j Labels: (4,) Name: Gate.x Aliases: Gate.x Gate.cliff1 Generators: X: 180.00 1.00 1.00 X 12 Labels: (1, 3) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.x Aliases: Gate.x Gate.cliff1 Generators: X: 180.00 1.00 1.00 X Labels: (1,) Name: Gate.cliff6 Aliases: Gate.cliff6 Generators: Y: -90.00 0.71j 0.71j -0.71j 0.71j 6 Labels: (3,) Name: Gate Generators: Z: -349.00 -1.00 0.10j -1.00 -0.10j Labels: (4,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID 13 Labels: (1, 3) Name: cx Aliases: Gate.cx Gate.cnot Parameters: Locally Equivalent: CNOT Generators: ZX: -90.00 IX: 90.00 ZI: 90.00 1.00 1.00 1.00 1.00 CX CX Labels: (0,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID Labels: (1,) Name: Gate Generators: Y: -123.57 X: -123.57 Z: -7.74 0.05 0.04j 0.75 0.66j -0.66 0.75j 0.04 -0.05j Labels: (3,) Name: Gate Generators: Y: -74.53 Z: 74.53 X: -65.74 0.50 -0.50j 0.50 0.50j -0.56 0.43j 0.43 0.56j Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: X: -127.28 Z: -127.28 0.71j 0.71j 0.71j -0.71j H 1 Labels: (0,) Name: Meas M Labels: (1,) Name: Meas M Labels: (3,) Name: Meas M Labels: (4,) Name: Meas M " ], "text/plain": [ "DisplayWrapper( 0 1 3 4 Key: protocol: RC Labels: (0,) Name: Gate Generators: Y: -162.86 X: 68.48 Z: 34.45 -0.19 -0.38 -0.90j -0.38 0.90j 0.19 Labels: (1,) Name: Gate Generators: Y: -246.15 X: -21.40 Z: 21.40 -0.56 -0.07j 0.82 0.07j -0.82 0.07j -0.56 0.07j Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H 2 Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: ZX: -96.33 ZY: -69.70 IX: 64.54 XY: -58.04 XZ: 51.53 YY: 51.52 XI: -38.77 ... 0.65 -0.04j 0.46 0.22j 0.27 -0.24j -0.21 0.38j -0.61 -0.07j 0.27 -0.08j 0.04 0.00j -0.62 0.39j -0.26 0.31j 0.75 0.05j 0.03 -0.12j 0.28 -0.41j -0.17 -0.06j -0.22 -0.20j 0.82 -0.43j 0.06 -0.15j Labels: (0,) Name: Gate Generators: Z: -155.10 X: 70.83 Y: -57.67 0.86 -0.39 -0.32j -0.39 0.32j -0.86 Labels: (1,) Name: Gate Generators: Z: 129.93 Y: -69.09 X: -19.15 0.65 -0.60j 0.33 0.33j -0.45 -0.11j -0.18 0.87j Labels: (3,) Name: Gate Generators: X: 106.60 Z: -85.49 Y: 34.93 -0.49 0.44j 0.65 -0.38j 0.75 0.08j 0.63 0.21j 3 Labels: (1, 3) Name: FSim Parameters: phi: 13.00 theta: 11.00 Locally Equivalent: Non-Clifford Generators: YY: 11.00 XX: 11.00 ZI: 6.50 ZZ: -6.50 IZ: 6.50 YX: -0.00 XY: 0.00 1.00 -0.06j 0.98 -0.06j -0.01 -0.19j -0.01 -0.19j 0.98 -0.06j 0.99 0.17j Labels: (0,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 -1.00 -1.00 ID Labels: (1,) Name: Gate Generators: Y: 252.69 X: -60.69 Z: 60.69 -0.63 -0.32j -0.71 0.63 0.32j -0.71 Labels: (3,) Name: Gate Generators: X: 175.02 Y: 42.04 0.89 -0.45j 1.00 Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H 4 Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: ZX: -96.33 ZY: -69.70 IX: 64.54 XY: -58.04 XZ: 51.53 YY: 51.52 XI: -38.77 ... 0.65 -0.04j 0.46 0.22j 0.27 -0.24j -0.21 0.38j -0.61 -0.07j 0.27 -0.08j 0.04 0.00j -0.62 0.39j -0.26 0.31j 0.75 0.05j 0.03 -0.12j 0.28 -0.41j -0.17 -0.06j -0.22 -0.20j 0.82 -0.43j 0.06 -0.15j Labels: (0,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 -1.00 -1.00 ID Labels: (1,) Name: Gate Generators: Y: 173.58 X: 47.64 -0.71 -0.71j 0.97 0.25j Labels: (3,) Name: Gate Generators: Y: 95.72 Z: 45.04 X: -31.64 0.49 -0.45j -0.65 0.38j 0.75 0.08j 0.63 0.21j 5 Labels: (1, 3) Name: FSim Parameters: phi: 13.00 theta: 11.00 Locally Equivalent: Non-Clifford Generators: YY: 11.00 XX: 11.00 ZI: 6.50 ZZ: -6.50 IZ: 6.50 YX: -0.00 XY: 0.00 1.00 -0.06j 0.98 -0.06j -0.01 -0.19j -0.01 -0.19j 0.98 -0.06j 0.99 0.17j Labels: (1,) Name: Gate Generators: X: 138.83 Z: -138.83 Y: 33.72 0.63 0.32j -0.71 -0.63 -0.32j -0.71 Labels: (3,) Name: Gate Generators: Y: 174.91 X: -42.48 -0.89 0.46j 1.00 Labels: (4,) Name: Gate.h Aliases: Gate.h Gate.f Gate.cliff12 Generators: Z: 127.28 X: 127.28 0.71 0.71 0.71 -0.71 H 1 Labels: (0,) Name: Meas M Labels: (1,) Name: Meas M Labels: (3,) Name: Meas M Labels: (4,) Name: Meas M " ], "text/plain": [ "DisplayWrapper( 0 1 3 4 Key: protocol: RC Labels: (0,) Name: Gate Generators: Z: -130.33 X: -102.17 Y: -70.53 -0.72 -0.57 0.39j -0.57 -0.39j 0.72 Labels: (1,) Name: Gate Generators: Z: 107.52 X: -107.52 Y: -6.89 0.24 -0.69j 0.04 0.69j -0.04 0.69j 0.24 0.69j Labels: (3,) Name: Gate.id Aliases: Gate.id Gate.i Gate.cliff0 Locally Equivalent: Identity Generators: I: 0.00 1.00 1.00 ID Labels: (4,) Name: Gate.cliff13 Aliases: Gate.cliff13 Generators: Z: 127.28 X: -127.28 0.71 -0.71 -0.71 -0.71 13 2 Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: ZX: -96.33 ZY: -69.70 IX: 64.54 XY: -58.04 XZ: 51.53 YY: 51.52 XI: -38.77 ... 0.65 -0.04j 0.46 0.22j 0.27 -0.24j -0.21 0.38j -0.61 -0.07j 0.27 -0.08j 0.04 0.00j -0.62 0.39j -0.26 0.31j 0.75 0.05j 0.03 -0.12j 0.28 -0.41j -0.17 -0.06j -0.22 -0.20j 0.82 -0.43j 0.06 -0.15j Labels: (0,) Name: Gate Generators: Z: 169.78 Y: 62.47 -0.01 -0.94j -0.35 0.35 -0.01 0.94j Labels: (1,) Name: Gate Generators: X: 192.72 Y: -126.89 Z: -91.00 -0.62 0.13j 0.59 -0.50j -0.22 -0.74j -0.45 -0.45j Labels: (3,) Name: Gate Generators: Z: 129.00 X: 109.15 Y: -33.87 0.75 0.08j 0.63 0.21j 0.64 -0.18j -0.75 0.05j Labels: (4,) Name: Gate.z Aliases: Gate.z Gate.cliff3 Generators: Z: -180.00 1.00 -1.00 Z 3 Labels: (1, 3) Name: FSim Parameters: phi: 13.00 theta: 11.00 Locally Equivalent: Non-Clifford Generators: YY: 11.00 XX: 11.00 ZI: 6.50 ZZ: -6.50 IZ: 6.50 YX: -0.00 XY: 0.00 1.00 -0.06j 0.98 -0.06j -0.01 -0.19j -0.01 -0.19j 0.98 -0.06j 0.99 0.17j Labels: (0,) Name: Gate Generators: Y: 219.14 Z: -118.59 -0.57 0.39j -0.72 0.72 -0.57 -0.39j Labels: (1,) Name: Gate Generators: Y: -87.93 Z: -40.34 X: 15.02 -0.38 0.62j 0.04 0.69j 0.19 -0.66j 0.24 0.69j Labels: (3,) Name: Gate Generators: Z: -12.05 1.00 0.98 -0.21j Labels: (4,) Name: Gate.cliff6 Aliases: Gate.cliff6 Generators: Y: -90.00 0.71 0.71 -0.71 0.71 6 4 Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: ZX: -96.33 ZY: -69.70 IX: 64.54 XY: -58.04 XZ: 51.53 YY: 51.52 XI: -38.77 ... 0.65 -0.04j 0.46 0.22j 0.27 -0.24j -0.21 0.38j -0.61 -0.07j 0.27 -0.08j 0.04 0.00j -0.62 0.39j -0.26 0.31j 0.75 0.05j 0.03 -0.12j 0.28 -0.41j -0.17 -0.06j -0.22 -0.20j 0.82 -0.43j 0.06 -0.15j Labels: (0,) Name: Gate Generators: X: -139.59 Y: 1.18 0.35 -0.01 0.94j 0.01 0.94j 0.35 Labels: (1,) Name: Gate Generators: X: -119.70 Z: 91.04 Y: -9.89 0.02 -0.64j 0.34 0.69j 0.22 0.74j 0.45 0.45j Labels: (3,) Name: Gate Generators: Y: 81.17 Z: 53.57 X: -30.90 0.75 0.08j -0.63 -0.21j 0.33 0.57j 0.23 0.71j Labels: (4,) Name: Gate.z Aliases: Gate.z Gate.cliff3 Generators: Z: -180.00 1.00 -1.00 Z 5 Labels: (1, 3) Name: FSim Parameters: phi: 13.00 theta: 11.00 Locally Equivalent: Non-Clifford Generators: YY: 11.00 XX: 11.00 ZI: 6.50 ZZ: -6.50 IZ: 6.50 YX: -0.00 XY: 0.00 1.00 -0.06j 0.98 -0.06j -0.01 -0.19j -0.01 -0.19j 0.98 -0.06j 0.99 0.17j Labels: (0,) Name: Gate.z Aliases: Gate.z Gate.cliff3 Generators: Z: -180.00 1.00 -1.00 Z Labels: (1,) Name: Gate Generators: Y: 70.12 Z: -67.97 X: -67.97 0.02 0.71j -0.71 0.02 0.71j 0.71 Labels: (3,) Name: Gate Generators: Z: 91.78 1.00 -0.03 1.00j Labels: (4,) Name: Gate.sy Aliases: Gate.sy Gate.cliff7 Generators: Y: 90.00 0.71 -0.71 0.71 0.71 SY 1 Labels: (0,) Name: Meas M Labels: (1,) Name: Meas M Labels: (3,) Name: Meas M Labels: (4,) Name: Meas M " ], "text/plain": [ "DisplayWrapper( 0 1 Key: Labels: (0, 1) Name: Gate Locally Equivalent: Non-Clifford Generators: YY: 45.00 0.92 0.38j 0.92 -0.38j -0.38j 0.92 0.38j 0.92 1 Labels: (0,) Name: Meas M Labels: (1,) Name: Meas M " ], "text/plain": [ "DisplayWrapper( 0 1 2 3 Key: protocol: RC Labels: (2,) Name: Gate -0.19 0.98j 0.99 0.16j -1.00 -0.08j Labels: (3,) Name: Gate -0.11 0.20j -0.13 -0.19j -0.07 0.94j 0.23 -0.02j -0.78 -0.53j -0.11 -0.20j 0.85 -0.41j 0.23 -0.00j -0.10 0.21j 1 Labels: (0, 1) Name: Gate 0.02 0.01j 0.24 0.18j 0.07 0.31j 0.34 0.01j -0.13 -0.35j 0.36 0.37j -0.28 -0.16j 0.11 0.16j 0.29 0.23j 0.06 -0.14j 0.21 -0.19j 0.53 -0.35j 0.08 -0.02j -0.07 -0.16j -0.45 0.20j 0.05 -0.04j -0.26 0.34j 0.14 -0.05j 0.06 -0.13j -0.17 0.20j 0.02 -0.06j 0.06 -0.45j 0.03 -0.18j -0.19 0.28j -0.01 0.62j 0.07 -0.27j -0.07 0.29j -0.27 -0.19j 0.19 -0.27j -0.01 -0.08j -0.31 -0.17j -0.15 -0.13j -0.16 -0.10j -0.24 -0.41j 0.13 -0.35j -0.09 0.46j -0.27 0.10j 0.11 0.17j -0.18 0.21j -0.33 0.01j -0.16 -0.46j -0.36 -0.11j -0.10 0.15j 0.28 0.22j 0.05 -0.39j -0.40 0.20j 0.24 0.33j 0.02 -0.12j 0.09 -0.29j 0.07 0.14j 0.05 0.19j -0.26 -0.14j -0.39 -0.17j -0.30 -0.33j -0.54 -0.02j -0.13 0.06j 0.17 -0.24j 0.25 0.36j -0.11 -0.28j 0.23 -0.28j 0.14 0.23j -0.06 0.07j -0.24 0.23j -0.40 -0.16j 0.47 -0.15j -0.09 0.15j 0.16 0.09j 0.35 0.42j -0.14 0.08j 0.09 0.26j 0.25 0.08j 0.17 0.09j 0.04 -0.30j 0.12 -0.41j -0.48 0.20j 0.34 -0.05j -0.25 -0.19j -0.07 -0.03j 0.09 0.09j -0.41 -0.07j -0.12 -0.15j Labels: (2, 3) Name: Gate.cx3 Aliases: Gate.cx3 Gate.cnot3 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 CX CX Labels: (2,) Name: Gate -0.74 0.67j 0.27 -0.96j 0.14 0.99j Labels: (3,) Name: Gate -0.49 -0.81j -0.01 0.23j -0.18 -0.14j -0.19 -0.12j 0.22 -0.09j 0.95 -0.02j -0.03 0.23j -0.46 0.83j 0.20 -0.10j " ], "text/plain": [ "DisplayWrapper(