qiskit.circuit.library.RZGate¶

class RZGate(phi, label=None)[Quellcode]¶

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).

Circuit symbol:

     ┌───────┐
q_0: ┤ Rz(λ) ├
     └───────┘

Matrix Representation:

\[\begin{split}RZ(\lambda) = exp(-i\frac{\lambda}{2}Z) = \begin{pmatrix} e^{-i\frac{\lambda}{2}} & 0 \\ 0 & e^{i\frac{\lambda}{2}} \end{pmatrix}\end{split}\]

Siehe auch

U1Gate This gate is equivalent to U1 up to a phase factor.

\[U1(\lambda) = e^{i{\lambda}/2}RZ(\lambda)\]

Reference for virtual Z gate implementation: 1612.00858

Create new RZ gate.

__init__(phi, label=None)[Quellcode]¶: Create new RZ gate.

Methods

`__init__`(phi[, label])	Create new RZ 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])	Return a (multi-)controlled-RZ gate.
`copy`([name])	Copy of the instruction.
`inverse`()	Return inverted RZ gate
`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.
`soft_compare`(other)	Soft comparison between gates.
`to_matrix`()	Return a Numpy.array for the gate unitary matrix.
`validate_parameter`(parameter)	Gate parameters should be int, float, or ParameterExpression

Attributes

`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 gate label
`params`	return instruction params.
`unit`	Get the time unit of duration.

add_decomposition(decomposition)¶: Add a decomposition of the instruction to the SessionEquivalenceLibrary.

assemble()¶

Assemble a QasmQobjInstruction

Rückgabetyp: Instruction

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], ...]

Parameter

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

Rückgabetyp

Tuple[List, List]

Rückgabe

A tuple with single arguments.

Verursacht

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

c_if(classical, val)¶: Add classical condition on register classical and value val.

control(num_ctrl_qubits=1, label=None, ctrl_state=None)[Quellcode]¶

Return a (multi-)controlled-RZ gate.

Parameter

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.

Rückgabe

controlled version of this gate.

Rückgabetyp

ControlledGate

copy(name=None)¶

Copy of the instruction.

Parameter

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

Rückgabe

a copy of the current instruction, with the name: updated if it was provided

Rückgabetyp

qiskit.circuit.Instruction

property decompositions¶: Get the decompositions of the instruction from the SessionEquivalenceLibrary.

property definition¶: Return definition in terms of other basic gates.

property duration¶: Get the duration.

inverse()[Quellcode]¶

Return inverted RZ gate

\(RZ(\lambda){\dagger} = RZ(-\lambda)\)

is_parameterized()¶: Return True .IFF. instruction is parameterized else False

property label¶

Return gate label

Rückgabetyp: str

mirror()¶

DEPRECATED: use instruction.reverse_ops().

Rückgabe

a new instruction with sub-instructions: reversed.

Rückgabetyp

qiskit.circuit.Instruction

property params¶: return instruction params.

power(exponent)¶

Creates a unitary gate as gate^exponent.

Parameter: exponent (float) – Gate^exponent
Rückgabe: To which to_matrix is self.to_matrix^exponent.
Rückgabetyp: qiskit.extensions.UnitaryGate
Verursacht: CircuitError – If Gate is not unitary

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(n)¶

Creates an instruction with gate repeated n amount of times.

Parameter: n (int) – Number of times to repeat the instruction
Rückgabe: Containing the definition.
Rückgabetyp: qiskit.circuit.Instruction
Verursacht: CircuitError – If n < 1.

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.

Rückgabe

a new instruction with: sub-instructions reversed.

Rückgabetyp

qiskit.circuit.Instruction

soft_compare(other)¶

Soft comparison between gates. Their names, number of qubits, and classical bit numbers must match. The number of parameters must match. Each parameter is compared. If one is a ParameterExpression then it is not taken into account.

Parameter: other (instruction) – other instruction.
Rückgabe: are self and other equal up to parameter expressions.
Rückgabetyp: bool

to_matrix()¶

Return a Numpy.array for the gate unitary matrix.

Rückgabe: if the Gate subclass has a matrix definition.
Rückgabetyp: np.ndarray
Verursacht: CircuitError – If a Gate subclass does not implement this method an exception will be raised when this base class method is called.

property unit¶: Get the time unit of duration.

validate_parameter(parameter)¶: Gate parameters should be int, float, or ParameterExpression