English
Languages
English
Bengali
French
German
Japanese
Korean
Portuguese
Spanish
Tamil

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).

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

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

condition_bits

Get Clbits in condition.

Return type

List[Clbit]

decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition

Return definition in terms of other basic gates.

duration

Get the duration.

label

Return instruction label

Return type

str

name

Return the name.

num_clbits

Return the number of clbits.

num_qubits

Return the number of qubits.

params

return instruction params.

unit

Get the time unit of duration.