{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "74b20f93", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T19:00:20.314227Z", "iopub.status.busy": "2024-03-26T19:00:20.313938Z", "iopub.status.idle": "2024-03-26T19:00:20.316500Z", "shell.execute_reply": "2024-03-26T19:00:20.316095Z" }, "nbsphinx": "hidden" }, "outputs": [], "source": [ "# Copyright 2024 Keysight Technologies Inc." ] }, { "cell_type": "raw", "id": "beb45456", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Example: Customizing Randomized Compiling with Cycle Markers\n", "============================================================\n", "\n", "Randomized Compiling is based on breaking the cycles contained in a circuit into two\n", "groups: `easy` cycles and `hard` cycles. In a typical usage scenario, hard cycles\n", "contain operations with significant miscalibration or crosstalk, such as\n", "entangling gates. In contrast, easy cycles contain operations which can be executed\n", "with high fidelity, such as single-qubit gates.\n", "\n", "In |True-Q|, the user can specify which cycles are easy or hard by setting the\n", ":py:class:`~trueq.Cycle.marker` attribute of the cycles in the circuit: if a cycle\n", "has its :py:class:`~trueq.Cycle.marker` set to ``0`` it is considered as easy;\n", "otherwise it is considered hard.\n", "\n", "The :py:meth:`~trueq.randomly_compile` function creates a collection of randomly\n", "compiled circuits that each describe an equivalent but physically different\n", "implementation of the original circuit. Specifically, for each hard cycle :math:`U`\n", "in the circuit, :py:meth:`~trueq.randomly_compile` picks random Pauli operators\n", ":math:`P` and :math:`Q`\\, such that :math:`U = PUQ` and, as an intermediate step,\n", "replaces the cycle :math:`U` by three consecutive cycles :math:`[Q, U, P]`. The\n", "additional cycles :math:`P` and :math:`Q` are then merged into any existing adjacent\n", "single-qubit cycles, as long as the latter have their :py:class:`~trueq.Cycle.marker`\n", "attribute set to ``0`` and can be interpreted as easy cycles. This compilation step\n", "where we fold the random gates into the neighbouring easy cycles allows the depth of a\n", "circuit to remain unchanged by applying randomized compiling.\n", "\n", ".. note::\n", " Randomized compiling produces a new circuit collection after each call,\n", " so the output of this example will be different if it's executed again.\n", "\n", "Default configuration: equal cycle markers\n", "------------------------------------------\n", "\n", "By default, if :py:meth:`~trueq.randomly_compile` is called on a circuit without\n", "explicitly specifying the hard cycles (i.e. the circuit contains only zero\n", ":py:class:`~trueq.Cycle.marker` values), it interprets that as the user intending\n", "the hard cycles to consist of all cycles containing two-qubit gates, and the easy\n", "cycles to consist of everything else.\n", "\n", "For example, consider a circuit which applies alternating cycles, with an :math:`X`\n", "gate on qubit 0 in one cycle and a :math:`CZ` gate on qubits 0 and 1 in the other\n", "cycle. To be fully explicit, we set the :py:class:`~trueq.Cycle.marker` arguments to\n", "zero (which would otherwise also be the default value):" ] }, { "cell_type": "code", "execution_count": 2, "id": "c5c7e485", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T19:00:20.318369Z", "iopub.status.busy": "2024-03-26T19:00:20.318085Z", "iopub.status.idle": "2024-03-26T19:00:22.614067Z", "shell.execute_reply": "2024-03-26T19:00:22.613532Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
True-Q formatting will not be loaded without trusting this\n", "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n", "\"File -> Trust Notebook\".
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", "
\n", "
\n", "
Circuit
\n", "
\n", "
\n", "
Key:
\n", "
\n", " No key present in circuit.\n", "
\n", "
\n", "
\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "Circuit(Cycle((0,): Gate.x),Cycle((0, 1): Gate.cz),Cycle((0,): Gate.x),Cycle((0, 1): Gate.cz),Cycle((0,): Gate.x))" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import trueq as tq\n", "\n", "cycle1 = tq.Cycle({0: tq.Gate.x}, marker=0)\n", "cycle2 = tq.Cycle({(0, 1): tq.Gate.cz}, marker=0)\n", "circuit = tq.Circuit([cycle1, cycle2, cycle1, cycle2, cycle1])\n", "\n", "# Display the circuit\n", "circuit" ] }, { "cell_type": "raw", "id": "1874df8a", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Note that when all cycle :py:class:`~trueq.Cycle.marker`\\s are set to ``0``, they are\n", "not displayed in the output.\n", "\n", "Next, we generate a set of randomly compiled versions of this circuit:" ] }, { "cell_type": "code", "execution_count": 3, "id": "ae3b16ba", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T19:00:22.616639Z", "iopub.status.busy": "2024-03-26T19:00:22.616154Z", "iopub.status.idle": "2024-03-26T19:00:22.631075Z", "shell.execute_reply": "2024-03-26T19:00:22.630657Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
True-Q formatting will not be loaded without trusting this\n", "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n", "\"File -> Trust Notebook\".
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", "
\n", "
\n", "
Circuit
\n", "
\n", "
\n", "
Key:
\n", "
\n", "
    \n", "
  • protocol: RC
    • \n", "
  • twirl: Paulis on [0, 1]
    • \n", "
\n", "
\n", "
\n", "
\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.id\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
  • Gate.i
    • \n", "
  • Gate.cliff0
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • Identity
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'I': 0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		\n", "
\n", " \n", " (1):\n", " Gate.y\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.y
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.y
    • \n", "
  • Gate.cliff2
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'Y': -180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", " 1\n", "
\n", "
Marker 1
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': -180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		\n", "
\n", " \n", " (1):\n", " Gate.z\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.z
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.z
    • \n", "
  • Gate.cliff3
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'Z': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", " 2\n", "
\n", "
Marker 2
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.id\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
  • Gate.i
    • \n", "
  • Gate.cliff0
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • Identity
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'I': 0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		\n", "
\n", " \n", " (1):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': -180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "Circuit(Cycle((0,): Gate.id, (1,): Gate.y),Cycle((0, 1): Gate.cz, marker=1),Cycle((0,): Gate.x, (1,): Gate.z),Cycle((0, 1): Gate.cz, marker=2),Cycle((0,): Gate.id, (1,): Gate.x))" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "compiled_circuits = tq.randomly_compile(circuit)\n", "\n", "# Display an example circuit:\n", "compiled_circuits[0]" ] }, { "cell_type": "raw", "id": "cf39282a", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "This circuit now has two new explicit cycle :py:class:`~trueq.Cycle.marker`\\s for the\n", "two-qubit gates, and the original single-qubit gates have been absorbed into random\n", "twirling gates. The overall circuit length is preserved.\n", "\n", "Custom configuration: different cycle markers\n", "---------------------------------------------\n", "\n", "If there are cycles in the circuit with non-zero :py:class:`~trueq.Cycle.marker`\\s,\n", "then the :py:meth:`~trueq.randomly_compile` function interprets them as hard\n", "cycles.\n", "\n", "For example, consider again the circuit from above but this time with a third cycle\n", "in the middle containing a single-qubit :math:`X` gate that is uniquely marked:" ] }, { "cell_type": "code", "execution_count": 4, "id": "4ce71ea8", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T19:00:22.633063Z", "iopub.status.busy": "2024-03-26T19:00:22.632752Z", "iopub.status.idle": "2024-03-26T19:00:22.641824Z", "shell.execute_reply": "2024-03-26T19:00:22.641409Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
True-Q formatting will not be loaded without trusting this\n", "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n", "\"File -> Trust Notebook\".
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", "
\n", "
\n", "
Circuit
\n", "
\n", "
\n", "
Key:
\n", "
\n", " No key present in circuit.\n", "
\n", "
\n", "
\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", " 1\n", "
\n", "
Marker 1
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "Circuit(Cycle((0,): Gate.x),Cycle((0, 1): Gate.cz),Cycle((0,): Gate.x, marker=1),Cycle((0, 1): Gate.cz),Cycle((0,): Gate.x))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cycle1 = tq.Cycle({0: tq.Gate.x})\n", "cycle2 = tq.Cycle({(0, 1): tq.Gate.cz})\n", "cycle3 = tq.Cycle({0: tq.Gate.x}, marker=1)\n", "circuit = tq.Circuit([cycle1, cycle2, cycle3, cycle2, cycle1])\n", "\n", "# Display the circuit:\n", "circuit" ] }, { "cell_type": "raw", "id": "59e87490", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Now, when we generate a set of randomly compiled versions of this circuit, the\n", "resulting circuits will have randomizations inserted only around the marked gate:" ] }, { "cell_type": "code", "execution_count": 5, "id": "fd318640", "metadata": { "execution": { "iopub.execute_input": "2024-03-26T19:00:22.643712Z", "iopub.status.busy": "2024-03-26T19:00:22.643432Z", "iopub.status.idle": "2024-03-26T19:00:22.658111Z", "shell.execute_reply": "2024-03-26T19:00:22.657709Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
True-Q formatting will not be loaded without trusting this\n", "notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking\n", "\"File -> Trust Notebook\".
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", "
\n", "
\n", "
Circuit
\n", "
\n", "
\n", "
Key:
\n", "
\n", "
    \n", "
  • protocol: RC
    • \n", "
  • twirl: Paulis on [0, 1]
    • \n", "
\n", "
\n", "
\n", "
\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.id\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
  • Gate.i
    • \n", "
  • Gate.cliff0
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • Identity
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'I': 0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		\n", "
\n", " \n", " (1):\n", " Gate.y\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.y
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.y
    • \n", "
  • Gate.cliff2
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'Y': -180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", " 1\n", "
\n", "
Marker 1
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.id\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.id
    • \n", "
  • Gate.i
    • \n", "
  • Gate.cliff0
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • Identity
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'I': 0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		\n", "
\n", " \n", " (1):\n", " Gate.y\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.y
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.y
    • \n", "
  • Gate.cliff2
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'Y': -180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0, 1):\n", " Gate.cz\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.cz
    • \n", "
\n", "
\n", "\n", " \n", "
Likeness:
\n", "
\n", "
    \n", "
  • CNOT
    • \n", "
\n", "
\n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'ZZ': -90.0
    • \n", "
  • 'ZI': 90.0
    • \n", "
  • 'IZ': 90.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " -1.00\n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "
\n", "  \n", "
\n", "
Marker 0
\n", " Compilation tools may only recompile cycles with equal markers.\n", "
\n", "
\n", " 		\n", "
\n", " \n", " (0):\n", " Gate.x\n", " \n", " \n", "\n", "\n", "
\n", "
\n", "
Name:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
\n", "
\n", "\n", " \n", "
Aliases:
\n", "
\n", "
    \n", "
  • Gate.x
    • \n", "
  • Gate.cliff1
    • \n", "
\n", "
\n", "\n", " \n", "\n", "\n", " \n", "
Generators:
\n", "
\n", "
    \n", "
  • 'X': 180.0
    • \n", "
\n", "
\n", "
\n", "
\n", "
Matrix:
\n", "
\n", "
    \n", "
  • \n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.00\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", "
    • \n", "
\n", "
\n", "
\n", "
\n", "\n", "
\n", " 		 
\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "Circuit(Cycle((0,): Gate.x),Cycle((0, 1): Gate.cz),Cycle((0,): Gate.id, (1,): Gate.y),Cycle((0,): Gate.x, marker=1),Cycle((0,): Gate.id, (1,): Gate.y),Cycle((0, 1): Gate.cz),Cycle((0,): Gate.x))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "compiled_circuits = tq.randomly_compile(circuit)\n", "\n", "# Display an example circuit:\n", "compiled_circuits[0]" ] }, { "cell_type": "raw", "id": "0f93a129", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "When :py:meth:`~trueq.randomly_compile` is given an input circuit with at least one\n", "non-zero :py:class:`~trueq.Cycle.marker`\\, these cycles are treated as hard cycles. In\n", "contrast, when there are no :py:class:`~trueq.Cycle.marker`\\s specified, any cycles\n", "containing two-qubit gates will be marked and treated as hard cycles. Any cycle which\n", "is not treated as a hard cycle is treated as an easy cycle.\n", "\n", "In summary, a cycle :py:class:`~trueq.Cycle.marker` provides a configuration option\n", "for Randomized Compiling to specify where random gates can be inserted and which\n", "cycles to leave untouched." ] } ], "metadata": { "jupytext": { "cell_metadata_filter": "raw_mimetype,nbsphinx,-all", "main_language": "python", "notebook_metadata_filter": "-all", "text_representation": { "extension": ".py", "format_name": "percent" } }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }