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CPhaseGate

class CPhaseGate(theta, label=None, ctrl_state=None)

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Bases: qiskit.circuit.controlledgate.ControlledGate

Controlled-Phase gate.

This is a diagonal and symmetric gate that induces a phase on the state of the target qubit, depending on the control state.

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

Circuit symbol:

q_0: ─■──
      │λ
q_1: ─■──

Matrix representation:

CPhase=I00+P11=(100001000010000eiλ)\begin{split}CPhase = I \otimes |0\rangle\langle 0| + P \otimes |1\rangle\langle 1| = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & e^{i\lambda} \end{pmatrix}\end{split}
See also

CRZGate: Due to the global phase difference in the matrix definitions of Phase and RZ, CPhase and CRZ are different gates with a relative phase difference.

Create new CPhase gate.


Methods Defined Here

control

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

Controlled version of this 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 or str 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

CPhaseGate.inverse()

Return inverted CPhase gate (CPhase(λ)=CPhase(λ)CPhase(\lambda){\dagger} = CPhase(-\lambda))

power

CPhaseGate.power(exponent)

Raise gate to a power.


Attributes

condition_bits

Get Clbits in condition.

Return type

List[Clbit]

ctrl_state

Return the control state of the gate as a decimal integer.

Return type

int

decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition

Return definition in terms of other basic gates. If the gate has open controls, as determined from self.ctrl_state, the returned definition is conjugated with X without changing the internal _definition.

Return type

List

duration

Get the duration.

label

Return instruction label

Return type

str

name

Get name of gate. If the gate has open controls the gate name will become:

<original_name_o<ctrl_state>

where <original_name> is the gate name for the default case of closed control qubits and <ctrl_state> is the integer value of the control state for the gate.

Return type

str

num_clbits

Return the number of clbits.

num_ctrl_qubits

Get number of control qubits.

Returns

The number of control qubits for the gate.

Return type

int

num_qubits

Return the number of qubits.

params

Get parameters from base_gate.

Returns

List of gate parameters.

Return type

list

Raises

CircuitError – Controlled gate does not define a base gate

unit

Get the time unit of duration.

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