CUGate
class qiskit.circuit.library.CUGate(theta, phi, lam, gamma, label=None, ctrl_state=None, *, duration=None, unit='dt', _base_label=None)
Bases: ControlledGate
Controlled-U gate (4-parameter two-qubit gate).
This is a controlled version of the U gate (generic single qubit rotation), including a possible global phase of the U gate.
Can be applied to a QuantumCircuit
with the cu()
method.
Circuit symbol:
q_0: ──────■──────
┌─────┴──────┐
q_1: ┤ U(ϴ,φ,λ,γ) ├
└────────────┘
Matrix representation:
In Qiskit’s convention, higher qubit indices are more significant (little endian convention). In many textbooks, controlled gates are presented with the assumption of more significant qubits as control, which in our case would be q_1. Thus a textbook matrix for this gate will be:
┌────────────┐
q_0: ┤ U(ϴ,φ,λ,γ) ├
└─────┬──────┘
q_1: ──────■───────
Create new CU gate.
Attributes
Parameters
- theta (ParameterValueType) –
- phi (ParameterValueType) –
- lam (ParameterValueType) –
- gamma (ParameterValueType) –
- label (Optional[str]) –
- ctrl_state (Optional[Union[str, int]]) –
base_class
Get the base class of this instruction. This is guaranteed to be in the inheritance tree of self
.
The “base class” of an instruction is the lowest class in its inheritance tree that the object should be considered entirely compatible with for _all_ circuit applications. This typically means that the subclass is defined purely to offer some sort of programmer convenience over the base class, and the base class is the “true” class for a behavioral perspective. In particular, you should not override base_class
if you are defining a custom version of an instruction that will be implemented differently by hardware, such as an alternative measurement strategy, or a version of a parametrized gate with a particular set of parameters for the purposes of distinguishing it in a Target
from the full parametrized gate.
This is often exactly equivalent to type(obj)
, except in the case of singleton instances of standard-library instructions. These singleton instances are special subclasses of their base class, and this property will return that base. For example:
>>> isinstance(XGate(), XGate)
True
>>> type(XGate()) is XGate
False
>>> XGate().base_class is XGate
True
In general, you should not rely on the precise class of an instruction; within a given circuit, it is expected that Instruction.name
should be a more suitable discriminator in most situations.
condition
The classical condition on the instruction.
The property qiskit.circuit.instruction.Instruction.condition
is deprecated as of qiskit 1.3.0. It will be removed in 2.0.0.
condition_bits
Get Clbits in condition.
The property qiskit.circuit.instruction.Instruction.condition_bits
is deprecated as of qiskit 1.3.0. It will be removed in 2.0.0.
ctrl_state
Return the control state of the gate as a decimal integer.
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 ctrl_state
, the returned definition is conjugated with X without changing the internal _definition
.
duration
Get the duration.
The property qiskit.circuit.instruction.Instruction.duration
is deprecated as of qiskit 1.3.0. It will be removed in Qiskit 2.0.0.
label
Return instruction label
mutable
Is this instance is a mutable unique instance or not.
If this attribute is False
the gate instance is a shared singleton and is not mutable.
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.
num_clbits
Return the number of clbits.
num_ctrl_qubits
num_qubits
Return the number of qubits.
params
unit
Get the time unit of duration.
The property qiskit.circuit.instruction.Instruction.unit
is deprecated as of qiskit 1.3.0. It will be removed in Qiskit 2.0.0.
Methods
inverse
inverse(annotated=False)
Return inverted CU gate.
Parameters
annotated (bool) – when set to True
, this is typically used to return an AnnotatedOperation
with an inverse modifier set instead of a concrete Gate
. However, for this class this argument is ignored as the inverse of this gate is always a CUGate
with inverse parameter values.
Returns
inverse gate.
Return type