PhaseGate¶

class PhaseGate(theta, label=None)[source]¶

Bases: qiskit.circuit.gate.Gate

Single-qubit rotation about the Z axis.

This is a diagonal gate. It can be implemented virtually in hardware via framechanges (i.e. at zero error and duration).

Circuit symbol:

     ┌──────┐
q_0: ┤ P(λ) ├
     └──────┘

Matrix Representation:

\[\begin{split}P(\lambda) = \begin{pmatrix} 1 & 0 \\ 0 & e^{i\lambda} \end{pmatrix}\end{split}\]

Examples:

\[P(\lambda = \pi) = Z\]

\[P(\lambda = \pi/2) = S\]

\[P(\lambda = \pi/4) = T\]

See also

RZGate: This gate is equivalent to RZ up to a phase factor.

\[P(\lambda) = e^{i{\lambda}/2} RZ(\lambda)\]

Reference for virtual Z gate implementation: 1612.00858

Create new Phase gate.

Methods Defined Here

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

Attributes

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

label¶

Return instruction label