[f539ea]: / SessionI_QuantumInfo / ISMB - Intro to Qiskit - Session 1.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Installing Qiskit\n",
    "\n",
    "\n",
    "1. First of all, you need to install Python on your device (https://wiki.python.org/moin/BeginnersGuide/Download)\n",
    "\n",
    "2. It is recommended that you create a separate virtual environment to run Qiskit (https://docs.python.org/3.10/tutorial/venv.html)\n",
    "\n",
    "3. Once you create the virtual environment to run Qiskit, activate the environment to install necessary packages.\n",
    "\n",
    "4. Install Qiskit SDK using:\n",
    "\n",
    "```python\n",
    "pip install qiskit\n",
    "\n",
    "pip install qiskit-ibm-runtime\n",
    "```\n",
    "\n",
    "\n",
    "5. If you want to run a Jupyter notebook, you will need to install Jupyter in your environment as well. \n",
    "\n",
    "```python\n",
    "pip install jupyter\n",
    "```\n",
    "\n",
    "and open your notebook with:\n",
    "\n",
    "```python\n",
    "jupyter notebook path/to/notebook.ipynb\n",
    "```\n",
    "\n",
    "6. You can also download and use VS Code (https://code.visualstudio.com/download)\n",
    "\n",
    "\n",
    "Instructions from the page (https://docs.quantum.ibm.com/start/install)\n",
    "\n",
    "A detailed video instructions can be found here https://www.youtube.com/watch?v=dZWz4Gs_BuI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set up an IBM Quantum channel\n",
    "\n",
    "\n",
    "IBM offers access to quantum computers via open access plan. \n",
    "\n",
    "Since we have already set up our environment for Qiskit and Qiskit Runtime, now we need to create an IBM Quantum account.\n",
    "\n",
    "1. Go to the page https://quantum.ibm.com/ and create an account by clicking on **\"Create an IBMid\"** and following the instructions.\n",
    "\n",
    "2. You will be prompted to a screen to enter your email and other basic information, then verify your email address.\n",
    "\n",
    "3. Your user account is associated with one or more access instances (in the form hub / group / project) that give access to IBM Quantum services. Additionally, a unique token is assigned to each account, allowing for IBM Quantum access from Qiskit.\n",
    "\n",
    "4. When you log into your IBM Quantum account page, you will be able to copy your unique API token associated with your account.\n",
    "\n",
    "5. Authenticate to the service by calling QiskitRuntimeService with your IBM Quantum API key and CRN:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit_ibm_runtime import QiskitRuntimeService\n",
    " \n",
    "service = QiskitRuntimeService(channel=\"ibm_quantum\", token=\"<MY_IBM_QUANTUM_TOKEN>\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or, optionally use the save_account() method to save your credentials for easy access later on, before initializing the service."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit_ibm_runtime import QiskitRuntimeService\n",
    " \n",
    "# Save an IBM Quantum account and set it as your default account.\n",
    "QiskitRuntimeService.save_account(channel=\"ibm_quantum\", token=\"<MY_IBM_QUANTUM_TOKEN>\", set_as_default=True)\n",
    " \n",
    "# Load saved credentials\n",
    "service = QiskitRuntimeService()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- If you save your credentials to disk, you can use QiskitRuntimeService() in the future to initialize your account. The channel parameter distinguishes between different account types. If you are saving multiple accounts per channel, consider using the name parameter to differentiate them.\n",
    "\n",
    "- Credentials are saved to $HOME/.qiskit/qiskit-ibm.json. Do not manually edit this file.\n",
    "\n",
    "- If you don't save your credentials, you must specify them every time you start a new session.\n",
    "\n",
    "- The channel parameter allows you to distinguish between different account types. When initializing the account, IBM Cloud is the default account used if have saved credentials for an IBM Quantum Platform and an IBM Cloud account.\n",
    "\n",
    "Let's test the setup to make sure that everything works correctly!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "job id: cs8faqt7yykg0082h9g0\n",
      "PrimitiveResult([PubResult(data=DataBin(meas=BitArray(<shape=(), num_shots=4096, num_bits=2>)), metadata={'circuit_metadata': {}})], metadata={'version': 2})\n"
     ]
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit_ibm_runtime import QiskitRuntimeService, SamplerV2 as Sampler\n",
    " \n",
    "# Create empty circuit\n",
    "example_circuit = QuantumCircuit(2)\n",
    "example_circuit.measure_all()\n",
    " \n",
    "# You'll need to specify the credentials when initializing QiskitRuntimeService, if they were not previously saved.\n",
    "service = QiskitRuntimeService()\n",
    "backend = service.least_busy(operational=True, simulator=False)\n",
    " \n",
    "sampler = Sampler(backend)\n",
    "job = sampler.run([example_circuit])\n",
    "print(f\"job id: {job.job_id()}\")\n",
    "result = job.result()\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Building circuits and operators with Qiskit SDK\n",
    "\n",
    "- The foundation of quantum programs are quantum circuits, which consist of operations - including gates, measurement, and reset - that manipulate qubits in the quantum computer.\n",
    "\n",
    "- All tasks require building one or more quantum circuits to represent the problem we aim to solve. Some tasks additionally require constructing quantum operators to define properties of quantum states that you want to estimate or measure.\n",
    "\n",
    "- Qiskit enables working with circuits (and, to some extent, operators) at various abstraction levels: abstract, virtual, physical, scheduled, and pulse programs. At the most abstract level is a task-oriented lens in the circuit library.\n",
    "\n",
    "- You can also express operations in abstract mathematical terms using operators, isometries, and classical/Boolean functions. For virtual circuits, mathematical abstractions take on a concrete representation in terms of a concrete gate set.\n",
    "\n",
    "-  At the physical level, those instructions are mapped to specific physical qubits, and instructions are re-written to reflect the connectivity and native gate set of a target hardware platform. Scheduled circuits introduce timing information, and pulse programs represent signals on channels."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# What is a quantum circuit?\n",
    "\n",
    "A simple quantum circuit is a collection of qubits and a list of instructions that act on those qubits. \n",
    "\n",
    "We can create quantum circuits manually by first declaring the number of qubits in the ciruit, then adding the quantum gates we would like to include"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Qubit(QuantumRegister(2, 'q'), 0), Qubit(QuantumRegister(2, 'q'), 1)]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    " \n",
    "qc = QuantumCircuit(2)\n",
    "qc.qubits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding an instruction to the circuit appends the instruction to the circuit's data attribute. The following cell output shows data is a list of \"Circuit Instruction\" objects, each of which has an operation attribute, and a qubits attribute."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[CircuitInstruction(operation=Instruction(name='x', num_qubits=1, num_clbits=0, params=[]), qubits=(Qubit(QuantumRegister(2, 'q'), 0),), clbits=())]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.x(0)  # Add X-gate to qubit 0\n",
    "qc.data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The easiest way to view this information is through the draw method, which returns a visualization of a circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 203.683x200.667 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To combine two circuits, use the compose method. This accepts another QuantumCircuit and an optional list of qubit mappings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 203.885x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_a = QuantumCircuit(4)\n",
    "qc_a.x(0)\n",
    " \n",
    "qc_b = QuantumCircuit(2, name=\"qc_b\")\n",
    "qc_b.y(0)\n",
    "qc_b.z(1)\n",
    " \n",
    "# compose qubits (0, 1) of qc_a to qubits (1, 3) of qc_b respectively\n",
    "combined = qc_a.compose(qc_b, qubits=[1, 3])\n",
    "combined.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Parameterized circuits\n",
    "\n",
    "Many near-term quantum algorithms involve executing many variations of a quantum circuit. Since constructing and optimizing large circuits can be computationally expensive, Qiskit supports parameterized circuits. These circuits have undefined parameters, and their values do not need to be defined until just before executing the circuit. This lets you move circuit construction and optimization out of the main program loop. The following cell creates and displays a parameterized circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 269.064x117.056 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit import Parameter\n",
    "angle = Parameter(\"angle\")  # undefined number\n",
    " \n",
    "# Create and optimize circuit once\n",
    "qc = QuantumCircuit(1)\n",
    "qc.rx(angle, 0)\n",
    " \n",
    "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
    "qc = generate_preset_pass_manager(optimization_level=3, basis_gates=['u', 'cx']).run(qc)\n",
    " \n",
    "qc.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following cell creates many variations of this circuit and displays one of the variations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 269.064x117.056 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuits = []\n",
    "for value in range(100):\n",
    "    circuits.append(\n",
    "        qc.assign_parameters({ angle: value })\n",
    "    )\n",
    " \n",
    "circuits[0].draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Circuit library\n",
    "\n",
    "The Qiskit SDK includes a library of popular circuits to use as building blocks in your own programs. Using pre-defined circuits saves time researching, writing code, and debugging. The library includes popular circuits in quantum computing, circuits that are difficult to simulate classically, and circuits useful for quantum hardware benchmarking."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Standard gates\n",
    "\n",
    "The circuit library also includes standard quantum gates. Some are more fundamental gates (such as the UGate), and others are multi-qubit gates that usually need building from single- and two-qubit gates. To add imported gates to your circuit, use the append method; the first argument is the gate, and the next argument is a list of qubits to apply the gate to.\n",
    "\n",
    "For example, the following code cell creates a circuit with a Hadamard gate and a multi-controlled-X gate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 287.496x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit.circuit.library import HGate, MCXGate\n",
    "mcx_gate = MCXGate(3)\n",
    "hadamard_gate = HGate()\n",
    " \n",
    "qc = QuantumCircuit(4)\n",
    "qc.append(hadamard_gate, [0])\n",
    "qc.append(mcx_gate, [0,1,2,3])\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# N-local circuits\n",
    "\n",
    "These circuits alternate layers of single-qubit rotation gates with layers of multi-qubit entangling gates.\n",
    "\n",
    "This family of circuits is popular in variational quantum algorithms because they can produce a wide range of quantum states. Variational algorithms adjust the gate parameters to find states that have certain properties (such as states that represent a good solution to an optimization problem). For this purpose, many circuits in the library are parameterized, which means you can define them without fixed values.\n",
    "\n",
    "The following code cell imports a TwoLocal circuit, in which the entangling gates are two-qubit gates. This circuit interleaves blocks of parameterized single-qubit gates, followed by entangling blocks of two-qubit gates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1207.22x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import TwoLocal\n",
    "\n",
    "two_local = TwoLocal(3, 'rx', 'cz')\n",
    "two_local.decompose().draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also assign these parameters to real values using a dictionary of the form { Parameter: number }. To demonstrate, the following code cell assigns each parameter in the circuit to 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1207.22x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bound_circuit = two_local.assign_parameters({ p: 0 for p in two_local.parameters})\n",
    "bound_circuit.decompose().draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data-encoding circuits\n",
    "\n",
    "These parameterized circuits encode data onto quantum states for processing by quantum machine learning algorithms. Some circuits supported by Qiskit are:\n",
    "\n",
    "- Amplitude encoding, which encodes each number into the amplitude of a basis state. This can store $2^n$ numbers in a single state, but can be costly to implement.\n",
    "\n",
    "- Basis encoding, which encodes an integer 𝑘 by preparing the corresponding basis state ∣k⟩.\n",
    "\n",
    "- Angle encoding, which sets each number in the data as a rotation angle in a parameterized circuit.\n",
    "\n",
    "The best approach depends upon the specifics of your application. On current quantum computers, however, we often use angle-encoding circuits such as the ZZFeatureMap."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 371.107x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import ZZFeatureMap\n",
    " \n",
    "features = [0.2, 0.4, 0.8]\n",
    "feature_map = ZZFeatureMap(feature_dimension=len(features))\n",
    " \n",
    "encoded = feature_map.assign_parameters(features)\n",
    "encoded.draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are many other circuits in the library such as:\n",
    "\n",
    "- Time-evolution circuits\n",
    "- Benchmarking and complexity-theory circuits\n",
    "- Arithmetic circuits\n",
    "\n",
    "More information in Qiskit documentation: https://docs.quantum.ibm.com/build/circuit-library"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Specify observables in the Pauli basis\n",
    "\n",
    "In quantum mechanics, observables correspond to physical properties that can be measured. When considering a system of spins, for example, you could be interested in measuring the system's energy or obtaining information about the alignment of the spins, such as the magnetization or the correlations between spins.\n",
    "\n",
    "To measure an n-qubit observable O on a quantum computer, you must represent it as a sum of tensor products of Pauli operators, that is\n",
    "\n",
    "$$ O = \\sum_{k=1}^K \\alpha_k P_k$$ \n",
    "\n",
    "where $P_k \\in \\{ I, X, Y, Z \\}^{\\otimes n}, \\alpha_k \\in \\mathbb{R}$. The standard Pauli matrices are:\n",
    "\n",
    "$$ I = \\begin{pmatrix} 1 & 0 \\\\ 0 & 1 \\end{pmatrix}, X = \\begin{pmatrix} 0 & 1 \\\\ 1 & 0 \\end{pmatrix}, Y = \\begin{pmatrix} 0 & -i \\\\ i & 0 \\end{pmatrix}, Z = \\begin{pmatrix} 1 & 0 \\\\ 0 & -1 \\end{pmatrix} $$\n",
    "\n",
    "and you use the fact that an observable is Hermitian, as in $O^\\dag = O$, If O is not Hermitian it can still be decomposed as a sum of Paulis, but the coefficient $\\alpha_k$ becomes complex.\n",
    "\n",
    "In many cases, the observable is naturally specified in this representation after mapping the system of interest to qubits. For example, a spin-1/2 system can be mapped to an Ising Hamiltonian,\n",
    "\n",
    "$$ H = \\sum_{<i,j>} Z_i Z_j - \\sum_{i=1}^n X_i $$\n",
    "\n",
    "where the indices ⟨i,j⟩ run over interacting spins and the spins are subject to a transversal field in X. The subscript index indicates which qubit the Pauli operator acts on, i.e. $X_i$ applies an X operator on qubit i and leaves the rest unchanged. In the Qiskit SDK, this Hamiltonian could be constructed as"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.quantum_info import SparsePauliOp\n",
    "# define the number of qubits\n",
    "n = 12\n",
    " \n",
    "# define the single Pauli terms as (\"Paulis\", [indices], coefficient)\n",
    "interactions = [(\"ZZ\", [i, i + 1], 1) for i in range(n - 1)]  # we assume spins on a 1D line\n",
    "field = [(\"X\", [i], -1) for i in range(n)]\n",
    " \n",
    "# build the operator\n",
    "hamiltonian = SparsePauliOp.from_sparse_list(interactions + field, num_qubits=n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For observables that are not given in terms of Pauli operators but in a matrix for, we first have to reformulate them in the Pauli basis in order to evaluate them on a quantum computer. We are always able to find such a representation as the Pauli matrices form a basis for the Hermitian $2^n \\times 2^n$ matrices. We expand the observable O as\n",
    "\n",
    "$$ O = \\sum_{P \\in \\{ I, X, Y, Z \\}^{\\otimes n}} Tr(OP)P $$\n",
    "\n",
    "where the sum runs over all possible n-qubit Pauli terms and Tr(⋅) is the trace of a matrix, which acts as inner product. You can implement this decomposition from a matrix to Pauli terms using the SparsePauliOp.from_operator method, like so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SparsePauliOp(['IZ', 'XI', 'YY'],\n",
      "              coeffs=[-1. +0.j,  0.5+0.j,  1. -0.j])\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from qiskit.quantum_info import SparsePauliOp\n",
    " \n",
    "matrix = np.array([[-1, 0, 0.5, -1],\n",
    "\t\t   [0, 1, 1, 0.5],\n",
    "\t\t   [0.5, 1, -1, 0],\n",
    "\t\t   [-1, 0.5, 0, 1]])\n",
    " \n",
    "observable = SparsePauliOp.from_operator(matrix)\n",
    "print(observable)  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transpilation \n",
    "\n",
    "Transpilation is the process of rewriting a given input circuit to match the topology of a specific quantum device, and optimize the circuit instructions for execution on noisy quantum systems.\n",
    "\n",
    "Qiskit's prebuilt transpiler pipeline consists of six fundamental stages:\n",
    "\n",
    "1. init - This pass runs any initial passes that are required before we start embedding the circuit to the system. This typically involves unrolling custom instructions and converting the circuit to all single- and two-qubit gates. (By default this will just validate the circuit instructions and translate multi-qubit gates into single- and two-qubit gates.)\n",
    "\n",
    "2. layout - This pass applies a layout, mapping/assigning the virtual qubits in your circuit to the physical qubits of a system.\n",
    "\n",
    "3. routing - This pass runs after a layout has been applied and will inject gates (that is, SWAPs) in the original circuit in order to make it compatible with the system's connectivity/coupling map.\n",
    "\n",
    "4. translation - This pass translates the gates in the circuit to the system's basis set of instructions.\n",
    "\n",
    "5. optimization - This pass runs an optimization loop to find more efficient decompositions of your quantum circuit until a condition is met (such as a fixed depth).\n",
    "\n",
    "6. scheduling - This stage is for any hardware-aware scheduling passes. If the user specifies a scheduling method, this stage accounts for all idle time in the circuit."
   ]
  },
  {
   "attachments": {
    "image.png": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transpilation default settings and configuration options\n",
    "\n",
    "Abstract circuits need to be transpiled because systems have a limited set of basis gates and cannot execute arbitrary operations. The transpiler's function is to change arbitrary circuits so that they can run on a specified system. This is done by translating the circuits to the supported basis gates, and by introducing SWAP gates as needed, so that the circuit's connectivity matches that of the system.\n",
    "\n",
    "You can create a pass manager using the \"generate_preset_pass_manager\" function and pass a circuit or list of circuits to its run method to transpile them. You can call \"generate_preset_pass_manager\" passing only the optimization level and backend, choosing to use the defaults for all other options, or you can pass additional arguments to the function to fine-tune the transpilation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic usage without parameters\n",
    "\n",
    "In this example, we pass a circuit and target system to the transpiler without specifying any further parameters.\n",
    "\n",
    "Create a circuit and view the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 663.998x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit.circuit.library import GroverOperator, Diagonal\n",
    "from qiskit_ibm_runtime import QiskitRuntimeService\n",
    "from qiskit_ibm_runtime.fake_provider import FakeSherbrooke\n",
    " \n",
    "# Create circuit to test transpiler on\n",
    "oracle = Diagonal([1] * 7 + [-1])\n",
    "qc = QuantumCircuit(3)\n",
    "qc.h([0, 1, 2])\n",
    "qc = qc.compose(GroverOperator(oracle))\n",
    " \n",
    "# Add measurements to the circuit\n",
    "qc.measure_all()\n",
    " \n",
    "# View the circuit\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Transpile the circuit and view the result:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2299.7x1622.06 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
    " \n",
    "# Specify the system to target\n",
    "backend = FakeSherbrooke()\n",
    " \n",
    "# Transpile the circuit\n",
    "pass_manager = generate_preset_pass_manager(optimization_level=1, backend=backend)\n",
    "transpiled_circ = pass_manager.run(qc)\n",
    " \n",
    "# View the transpiled circuit\n",
    "transpiled_circ.draw(output='mpl', idle_wires=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "new",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}