YGate

class YGate(label=None)

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

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.

Attributes

YGate.decompositions	Get the decompositions of the instruction from the SessionEquivalenceLibrary.
YGate.definition	Return definition in terms of other basic gates.
YGate.label	Return gate label
YGate.params	return instruction params.

Methods

YGate.add_decomposition(decomposition)	Add a decomposition of the instruction to the SessionEquivalenceLibrary.
YGate.assemble()	Assemble a QasmQobjInstruction
YGate.broadcast_arguments(qargs, cargs)	Validation and handling of the arguments and its relationship.
YGate.c_if(classical, val)	Add classical condition on register classical and value val.
YGate.control([num_ctrl_qubits, label, …])	Return a (mutli-)controlled-Y gate.
YGate.copy([name])	Copy of the instruction.
YGate.inverse()	Return inverted Y gate (\(Y{\dagger} = Y\))
YGate.is_parameterized()	Return True .IFF.
YGate.mirror()	For a composite instruction, reverse the order of sub-gates.
YGate.power(exponent)	Creates a unitary gate as gate^exponent.
YGate.qasm()	Return a default OpenQASM string for the instruction.
YGate.repeat(n)	Creates an instruction with gate repeated n amount of times.
YGate.to_matrix()	Return a numpy.array for the Y gate.