Skip to main contentIBM Quantum Documentation
This page is from an old version of Qiskit SDK. Go to the latest version

qiskit.circuit.library.CU1Gate

class CU1Gate(theta, label=None, ctrl_state=None)

GitHub

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:

CU1=00I+11U1=(100001000010000eiλ)\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.

__init__

__init__(theta, label=None, ctrl_state=None)

Create new CU1 gate.


Methods

__init__(theta[, label, ctrl_state])Create new CU1 gate.
add_decomposition(decomposition)Add a decomposition of the instruction to the SessionEquivalenceLibrary.
assemble()Assemble a QasmQobjInstruction
broadcast_arguments(qargs, cargs)Validation and handling of the arguments and its relationship.
c_if(classical, val)Add classical condition on register classical and value val.
control([num_ctrl_qubits, label, ctrl_state])Controlled version of this gate.
copy([name])Copy of the instruction.
inverse()Return inverted CU1 gate (CU1(λ)=CU1(λ)CU1(\lambda){\dagger} = CU1(-\lambda))
is_parameterized()Return True .IFF.
mirror()DEPRECATED: use instruction.reverse_ops().
power(exponent)Creates a unitary gate as gate^exponent.
qasm()Return a default OpenQASM string for the instruction.
repeat(n)Creates an instruction with gate repeated n amount of times.
reverse_ops()For a composite instruction, reverse the order of sub-instructions.
to_matrix()Return a numpy.array for the CU1 gate.
validate_parameter(parameter)Gate parameters should be int, float, or ParameterExpression

Attributes

ctrl_stateReturn the control state of the gate as a decimal integer.
decompositionsGet the decompositions of the instruction from the SessionEquivalenceLibrary.
definitionReturn definition in terms of other basic gates.
durationGet the duration.
labelReturn gate label
num_ctrl_qubitsGet number of control qubits.
paramsGet parameters from base_gate.
unitGet the time unit of duration.

add_decomposition

add_decomposition(decomposition)

Add a decomposition of the instruction to the SessionEquivalenceLibrary.

assemble

assemble()

Assemble a QasmQobjInstruction

Return type

Instruction

broadcast_arguments

broadcast_arguments(qargs, cargs)

Validation and handling of the arguments and its relationship.

For example, cx([q[0],q[1]], q[2]) means cx(q[0], q[2]); cx(q[1], q[2]). This method yields the arguments in the right grouping. In the given example:

in: [[q[0],q[1]], q[2]],[]
outs: [q[0], q[2]], []
      [q[1], q[2]], []

The general broadcasting rules are:

  • If len(qargs) == 1:

    [q[0], q[1]] -> [q[0]],[q[1]]
  • If len(qargs) == 2:

    [[q[0], q[1]], [r[0], r[1]]] -> [q[0], r[0]], [q[1], r[1]]
    [[q[0]], [r[0], r[1]]]       -> [q[0], r[0]], [q[0], r[1]]
    [[q[0], q[1]], [r[0]]]       -> [q[0], r[0]], [q[1], r[0]]
  • If len(qargs) >= 3:

    [q[0], q[1]], [r[0], r[1]],  ...] -> [q[0], r[0], ...], [q[1], r[1], ...]

Parameters

  • qargs (List) – List of quantum bit arguments.
  • cargs (List) – List of classical bit arguments.

Return type

Tuple[List, List]

Returns

A tuple with single arguments.

Raises

CircuitError – If the input is not valid. For example, the number of arguments does not match the gate expectation.

c_if

c_if(classical, val)

Add classical condition on register classical and value val.

control

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

copy

copy(name=None)

Copy of the instruction.

Parameters

name (str) – name to be given to the copied circuit, if None then the name stays the same.

Returns

a copy of the current instruction, with the name

updated if it was provided

Return type

qiskit.circuit.Instruction

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.

inverse

inverse()

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

is_parameterized

is_parameterized()

Return True .IFF. instruction is parameterized else False

label

Return gate label

Return type

str

mirror

mirror()

DEPRECATED: use instruction.reverse_ops().

Returns

a new instruction with sub-instructions

reversed.

Return type

qiskit.circuit.Instruction

num_ctrl_qubits

Get number of control qubits.

Returns

The number of control qubits for the gate.

Return type

int

params

Get parameters from base_gate.

Returns

List of gate parameters.

Return type

list

Raises

CircuitError – Controlled gate does not define a base gate

power

power(exponent)

Creates a unitary gate as gate^exponent.

Parameters

exponent (float) – Gate^exponent

Returns

To which to_matrix is self.to_matrix^exponent.

Return type

qiskit.extensions.UnitaryGate

Raises

CircuitError – If Gate is not unitary

qasm

qasm()

Return a default OpenQASM string for the instruction.

Derived instructions may override this to print in a different format (e.g. measure q[0] -> c[0];).

repeat

repeat(n)

Creates an instruction with gate repeated n amount of times.

Parameters

n (int) – Number of times to repeat the instruction

Returns

Containing the definition.

Return type

qiskit.circuit.Instruction

Raises

CircuitError – If n < 1.

reverse_ops

reverse_ops()

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

This is done by recursively reversing all sub-instructions. It does not invert any gate.

Returns

a new instruction with

sub-instructions reversed.

Return type

qiskit.circuit.Instruction

to_matrix

to_matrix()

Return a numpy.array for the CU1 gate.

unit

Get the time unit of duration.

validate_parameter

validate_parameter(parameter)

Gate parameters should be int, float, or ParameterExpression

Was this page helpful?
Report a bug or request content on GitHub.