Gate-Based Quantum Computing

Gate-based quantum computing algorithms
Since R2023a

Create quantum gates and circuits, simulate circuits on your local computer, and run circuits on remote hardware using Amazon^® Web Services (AWS^®) or IBM^® Qiskit^® Runtime Services.

Classes

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Quantum Circuits and Gates

`quantumCircuit`	Quantum computing circuit
`quantum.gate.SimpleGate`	Simple gate for quantum computing
`quantum.gate.CompositeGate`	Composite gate for quantum computing

Quantum States and Measurements

`quantum.gate.QuantumState`	State of qubits in quantum circuit
`quantum.gate.QuantumMeasurement`	Measurement result of quantum circuit

Quantum Devices and Tasks

`quantum.backend.QuantumDeviceAWS`	Quantum device available through AWS
`quantum.backend.QuantumTaskAWS`	Task sent to AWS for execution on quantum device
`quantum.backend.QuantumDeviceIBM`	Quantum device available through IBM (Since R2023b)
`quantum.backend.QuantumTaskIBM`	Task sent to IBM for execution on quantum device (Since R2023b)

Properties

QuantumCircuitChart Properties

Quantum circuit plot appearance and behavior (Since R2023b)

Functions

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Gate Creation Functions

Gates on One Target Qubit

`hGate`	Hadamard gate
`idGate`	Identity gate
`xGate`	Pauli X gate
`yGate`	Pauli Y gate
`zGate`	Pauli Z gate

Rotation Gates

`rxGate`	x-axis rotation gate
`ryGate`	y-axis rotation gate
`rzGate`	z-axis rotation gate
`r1Gate`	z-axis rotation gate with global phase
`sGate`	S gate
`siGate`	Inverse S gate
`tGate`	T gate
`tiGate`	Inverse T gate

Gates with One Control Qubit and One Target Qubit

`chGate`	Controlled Hadamard gate
`cnotGate`	CNOT gate (controlled X gate)
`cxGate`	Controlled X gate (CNOT gate)
`cyGate`	Controlled Y gate
`czGate`	Controlled Z gate

Gate That Swap States of Two Qubits

swapGate Swap gate

Controlled Rotation Gates

`crxGate`	Controlled x-axis rotation gate
`cryGate`	Controlled y-axis rotation gate
`crzGate`	Controlled z-axis rotation gate
`cr1Gate`	Controlled z-axis rotation gate with global phase

Controlled Controlled X Gate

ccxGate Controlled controlled X gate (CCNOT or Toffoli gate)

Ising Coupling Gates

`rxxGate`	Ising XX coupling gate
`ryyGate`	Ising YY coupling gate
`rzzGate`	Ising ZZ coupling gate

Composite and Specialized Gates

`compositeGate`	Construct composite gate for quantum computing
`qftGate`	Quantum Fourier transform gate
`mcxGate`	Multi-controlled X gate

Topics

Basics and Workflows

Introduction to Quantum Computing
This topic contains background information about qubits, quantum gates, and quantum circuits.
Types of Quantum Gates
This topic describes the different types of quantum gates to build quantum algorithms.
Local Quantum State Simulation
This topic describes how to simulate a quantum circuit locally and analyze the simulation results.
Run Quantum Circuit on Hardware Using AWS
This topic describes how to run quantum circuits on remote hardware using Amazon Web Services.
Run Quantum Circuit on Hardware Using IBM Qiskit Runtime Services
This topic describes how to run quantum circuits on remote hardware using IBM Qiskit Runtime Services.

Applications

Graph Coloring with Grover's Algorithm
This example shows how to use Grover's algorithm on a quantum computer to solve graph coloring problems.
Ground-State Protein Folding Using Variational Quantum Eigensolver (VQE)
This example shows how to use qubits in a quantum circuit to encode a protein fold on a 3-D tetrahedral lattice.
Solve XOR Problem Using Quantum Neural Network (QNN)
This example shows how to solve the XOR problem using a trained quantum neural network (QNN).
Quantum Monte Carlo (QMC) Simulation
This example shows how to use Quantum Monte Carlo (QMC) simulation in MATLAB^® to compute the mean of a function of a random variable.