yGate

Pauli Y gate

Since R2023a

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

Syntax

g = yGate(targetQubit)

Description

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

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

Examples

Pauli Y Gate and Its Matrix Representation

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

g = yGate(1)

g = 

  SimpleGate with properties:

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

Get the matrix representation of the gate.

M = getMatrix(g)

M =

   0.0000 + 0.0000i   0.0000 - 1.0000i
   0.0000 + 1.0000i   0.0000 + 0.0000i

Array of Pauli Y Gates

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

g = yGate(1:4)

g = 

  4×1 SimpleGate array with gates:

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

Input Arguments

targetQubit — Target qubit of gate

positive integer scalar | positive integer vector

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

Example: 1

Example: 3:5

More About

Matrix Representation of Pauli Y Gate

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

$$\left[\begin{array}{cc}0& -i\\ i& 0\end{array}\right].$$

Version History

Introduced in R2023a