YGate¶

class YGate(label=None)[source]¶

Bases: Gate

The single-qubit Pauli-Y gate (\(\sigma_y\)).

Can be applied to a QuantumCircuit with the y() method.

Matrix Representation:

\[\begin{split}Y = \begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌───┐
q_0: ┤ Y ├
     └───┘

Equivalent to a \(\pi\) radian rotation about the Y axis.

Note

A global phase difference exists between the definitions of \(RY(\pi)\) and \(Y\).

\[\begin{split}RY(\pi) = \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix} = -i Y\end{split}\]

The gate is equivalent to a bit and phase flip.

\[\begin{split}|0\rangle \rightarrow i|1\rangle \\ |1\rangle \rightarrow -i|0\rangle\end{split}\]

Create new Y gate.

Methods Defined Here

`control`	Return a (multi-)controlled-Y gate.
`inverse`	Return inverted Y gate (\(Y{\dagger} = Y\))

Attributes

decompositions¶: Get the decompositions of the instruction from the SessionEquivalenceLibrary.