PhaseGate

class qiskit.circuit.library.PhaseGate(theta, label=None)

Bases: 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:

$P(\lambda = \pi) = Z$ $P(\lambda = \pi/2) = S$ $P(\lambda = \pi/4) = T$

Attributes

Get Clbits in condition.

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

Return definition in terms of other basic gates.

Get the duration.

Return instruction label

Return the name.

Return the number of clbits.

Return the number of qubits.

return instruction params.

Get the time unit of duration.

control(num_ctrl_qubits=1, label=None, ctrl_state=None)

Return a (multi-)controlled-Phase gate.

Parameters

num_ctrl_qubits (int) – number of control qubits.
label (str or None) – An optional label for the gate [Default: None]
ctrl_state (int orstr or None) – control state expressed as integer, string (e.g. ‘110’), or None. If None, use all 1s.

Returns

controlled version of this gate.

Return type

ControlledGate

inverse()

Phase(\lambda)^{\dagger} = Phase(-\lambda)

power(exponent)

Raise gate to a power.

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