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Pauli X gate

Since R2023a

Installation Required: This functionality requires MATLAB Support Package for Quantum Computing.



g = xGate(targetQubit) applies a Pauli X gate to a single target qubit and returns a quantum.gate.SimpleGate object.

If targetQubit is a vector of qubit indices, xGate returns a column vector of gates, where g(i) represents a Pauli X gate applied to a qubit with index targetQubit(i).


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Create a Pauli X gate that acts on a single qubit.

g = xGate(1)
g = 

  SimpleGate with properties:

             Type: "x"
    ControlQubits: [1×0 double]
     TargetQubits: 1
           Angles: [1×0 double]

Get the matrix representation of the gate.

M = getMatrix(g)
M =

     0     1
     1     0

Create an array of Pauli X gates that act on qubits with indices 1 to 4.

g = xGate(1:4)
g = 

  4×1 SimpleGate array with gates:

    Id   Gate   Control   Target
     1   x                1     
     2   x                2     
     3   x                3     
     4   x                4     

Input Arguments

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Target qubit of the gate, specified as a positive integer scalar index or vector of qubit indices.

Example: 1

Example: 3:5

More About

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Matrix Representation of Pauli X Gate

The matrix representation of a Pauli X gate applied to a single qubit is


This gate maps the |0 state to the |1 state and maps the |1 state to the |0 state. This gate is also known as a bit-flip gate and is the quantum equivalent of the classical NOT gate.

Version History

Introduced in R2023a