CU1Gate

class CU1Gate(theta, label=None, ctrl_state=None)[source]

Controlled-U1 gate.

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

Circuit symbol:

q_0: ─■──
      │λ
q_1: ─■──

Matrix representation:

\[\begin{split}CU1 = |0\rangle\langle 0| \otimes I + |1\rangle\langle 1| \otimes U1 = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & e^{i\lambda} \end{pmatrix}\end{split}\]

See also

CRZGate: Due to the global phase difference in the matrix definitions of U1 and RZ, CU1 and CRZ are different gates with a relative phase difference.

Create new CU1 gate.

Attributes

CU1Gate.ctrl_state

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

CU1Gate.decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

CU1Gate.definition

Return definition in terms of other basic gates.

CU1Gate.label

Return gate label

CU1Gate.params

return instruction params.

Methods

CU1Gate.add_decomposition(decomposition)

Add a decomposition of the instruction to the SessionEquivalenceLibrary.

CU1Gate.assemble()

Assemble a QasmQobjInstruction

CU1Gate.broadcast_arguments(qargs, cargs)

Validation and handling of the arguments and its relationship.

CU1Gate.c_if(classical, val)

Add classical condition on register classical and value val.

CU1Gate.control([num_ctrl_qubits, label, …])

Controlled version of this gate.

CU1Gate.copy([name])

Copy of the instruction.

CU1Gate.inverse()

Return inverted CU1 gate (\(CU1(\lambda){\dagger} = CU1(-\lambda)\))

CU1Gate.is_parameterized()

Return True .IFF.

CU1Gate.mirror()

For a composite instruction, reverse the order of sub-gates.

CU1Gate.power(exponent)

Creates a unitary gate as gate^exponent.

CU1Gate.qasm()

Return a default OpenQASM string for the instruction.

CU1Gate.repeat(n)

Creates an instruction with gate repeated n amount of times.

CU1Gate.to_matrix()

Return a Numpy.array for the gate unitary matrix.