qml.ControlledQubitUnitary¶

class
ControlledQubitUnitary
(U, control_wires, wires, control_values)[source]¶ Bases:
pennylane.ops.qubit.matrix_ops.QubitUnitary
Apply an arbitrary fixed unitary to
wires
with control from thecontrol_wires
.In addition to default
Operation
instance attributes, the following are available forControlledQubitUnitary
:control_wires
: wires that act as control for the operationU
: unitary applied to the target wires
Details:
Number of wires: Any (the operation can act on any number of wires)
Number of parameters: 1
Gradient recipe: None
 Parameters
U (array[complex]) – square unitary matrix
control_wires (Union[Wires, Sequence[int], or int]) – the control wire(s)
wires (Union[Wires, Sequence[int], or int]) – the wire(s) the unitary acts on
control_values (str) – a string of bits representing the state of the control qubits to control on (default is the all 1s state)
Example
The following shows how a singlequbit unitary can be applied to wire
2
with control on both wires0
and1
:>>> U = np.array([[ 0.94877869, 0.31594146], [0.31594146, 0.94877869]]) >>> qml.ControlledQubitUnitary(U, control_wires=[0, 1], wires=2)
Typically controlled operations apply a desired gate if the control qubits are all in the state \(\vert 1\rangle\). However, there are some situations where it is necessary to apply a gate conditioned on all qubits being in the \(\vert 0\rangle\) state, or a mix of the two.
The state on which to control can be changed by passing a string of bits to control_values. For example, if we want to apply a singlequbit unitary to wire
3
conditioned on three wires where the first is in state0
, the second is in state1
, and the third in state1
, we can write:>>> qml.ControlledQubitUnitary(U, control_wires=[0, 1, 2], wires=3, control_values='011')
Attributes
Get base name of the operator.
The basis of an operation, or for controlled gates, of the target operation.
For operations that are controlled, returns the set of control wires.
Eigenvalues of an instantiated operator.
Generator of the operation.
Gradient recipe for the parametershift method.
returns an integer hash uniquely representing the operator
String for the ID of the operator.
Boolean determining if the inverse of the operation was requested.
True
if composing multiple copies of the operation results in an addition (or alternative accumulation) of parameters.True
if the operation is its own inverse.True
if the operation is the same if you exchange the order of wires.True
if the operation is the same if you exchange the order of all but the last wire.Matrix representation of an instantiated operator in the computational basis.
Get and set the name of the operator.
Current parameter values.
The parameters required to implement a singlequbit gate as an equivalent
Rot
gate, up to a global phase.Wires of this operator.

base_name
¶ Get base name of the operator.

basis
= None¶ The basis of an operation, or for controlled gates, of the target operation. If not
None
, should take a value of"X"
,"Y"
, or"Z"
.For example,
X
andCNOT
havebasis = "X"
, whereasControlledPhaseShift
andRZ
havebasis = "Z"
. Type
str or None

control_wires
¶

eigvals
¶

generator
¶ Generator of the operation.
A length2 list
[generator, scaling_factor]
, wheregenerator
is an existing PennyLane operation class or \(2\times 2\) Hermitian array that acts as the generator of the current operationscaling_factor
represents a scaling factor applied to the generator operation
For example, if \(U(\theta)=e^{i0.7\theta \sigma_x}\), then \(\sigma_x\), with scaling factor \(s\), is the generator of operator \(U(\theta)\):
generator = [PauliX, 0.7]
Default is
[None, 1]
, indicating the operation has no generator.

grad_method
= None¶

grad_recipe
= None¶ Gradient recipe for the parametershift method.
This is a tuple with one nested list per operation parameter. For parameter \(\phi_k\), the nested list contains elements of the form \([c_i, a_i, s_i]\) where \(i\) is the index of the term, resulting in a gradient recipe of
\[\frac{\partial}{\partial\phi_k}f = \sum_{i} c_i f(a_i \phi_k + s_i).\]If
None
, the default gradient recipe containing the two terms \([c_0, a_0, s_0]=[1/2, 1, \pi/2]\) and \([c_1, a_1, s_1]=[1/2, 1, \pi/2]\) is assumed for every parameter. Type
tuple(Union(list[list[float]], None)) or None

hash
¶ returns an integer hash uniquely representing the operator
 Type
int

id
¶ String for the ID of the operator.

inverse
¶ Boolean determining if the inverse of the operation was requested.

is_composable_rotation
= None¶ True
if composing multiple copies of the operation results in an addition (or alternative accumulation) of parameters.For example,
qml.RZ
is a composable rotation. Applyingqml.RZ(0.1, wires=0)
followed byqml.RZ(0.2, wires=0)
is equivalent to performing a single rotationqml.RZ(0.3, wires=0)
.If set to
None
, the operation will be ignored during compilation transforms that merge adjacent rotations. Type
bool or None

is_self_inverse
= None¶ True
if the operation is its own inverse.If
None
, all instances of the given operation will be ignored during compilation transforms involving inverse cancellation. Type
bool or None

is_symmetric_over_all_wires
= None¶ True
if the operation is the same if you exchange the order of wires.For example,
qml.CZ(wires=[0, 1])
has the same effect asqml.CZ(wires=[1, 0])
due to symmetry of the operation.If
None
, all instances of the operation will be ignored during compilation transforms that check for wire symmetry. Type
bool or None

is_symmetric_over_control_wires
= None¶ True
if the operation is the same if you exchange the order of all but the last wire.For example,
qml.Toffoli(wires=[0, 1, 2])
has the same effect asqml.Toffoli(wires=[1, 0, 2])
, but neither are the same asqml.Toffoli(wires=[0, 2, 1])
.If
None
, all instances of the operation will be ignored during compilation transforms that check for controlwire symmetry. Type
bool or None

matrix
¶

name
¶ Get and set the name of the operator.

num_params
= 1¶

num_wires
= 1¶

par_domain
= 'A'¶

parameters
¶ Current parameter values.

single_qubit_rot_angles
¶ The parameters required to implement a singlequbit gate as an equivalent
Rot
gate, up to a global phase. Returns
A list of values \([\phi, \theta, \omega]\) such that \(RZ(\omega) RY(\theta) RZ(\phi)\) is equivalent to the original operation.
 Return type
tuple[float, float, float]

string_for_inverse
= '.inv'¶
Methods
adjoint
()Create an operation that is the adjoint of this one.
decomposition
(U, wires)Returns a template decomposing the operation into other quantum operations.
expand
()Returns a tape containing the decomposed operations, rather than a list.
get_parameter_shift
(idx[, shift])Multiplier and shift for the given parameter, based on its gradient recipe.
inv
()Inverts the operation, such that the inverse will be used for the computations by the specific device.
queue
([context])Append the operator to the Operator queue.

adjoint
()¶ Create an operation that is the adjoint of this one.
Adjointed operations are the conjugated and transposed version of the original operation. Adjointed ops are equivalent to the inverted operation for unitary gates.
 Parameters
do_queue – Whether to add the adjointed gate to the context queue.
 Returns
The adjointed operation.

static
decomposition
(U, wires)¶ Returns a template decomposing the operation into other quantum operations.

expand
()¶ Returns a tape containing the decomposed operations, rather than a list.
 Returns
Returns a quantum tape that contains the operations decomposition, or if not implemented, simply the operation itself.
 Return type

get_parameter_shift
(idx, shift=1.5707963267948966)¶ Multiplier and shift for the given parameter, based on its gradient recipe.
 Parameters
idx (int) – parameter index
 Returns
list of multiplier, coefficient, shift for each term in the gradient recipe
 Return type
list[[float, float, float]]

inv
()¶ Inverts the operation, such that the inverse will be used for the computations by the specific device.
This method concatenates a string to the name of the operation, to indicate that the inverse will be used for computations.
Any subsequent call of this method will toggle between the original operation and the inverse of the operation.
 Returns
operation to be inverted
 Return type
Operator

queue
(context=<class 'pennylane.queuing.QueuingContext'>)¶ Append the operator to the Operator queue.
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