pennylane_aqt.ops.MS

class MS(wires)

Bases: pennylane.operation.Operation

Mølmer-Sørenson gate.

\[\begin{split}MS(t) = \begin{bmatrix} \cos(t\tfrac{\pi}{2}) & 0 & 0 & -i\sin(t\tfrac{\pi}{2}) \\ 0 & \cos(t\tfrac{\pi}{2}) & -i\sin(t\tfrac{\pi}{2}) & 0 \\ 0 & -i\sin(t\tfrac{\pi}{2}) & \cos(t\tfrac{\pi}{2}) & 0 \\ -i\sin(t\tfrac{\pi}{2}) & 0 & 0 & \cos(t\tfrac{\pi}{2}) \end{bmatrix}\end{split}\]

For further details, see the AQT API docs.

Details:

• Number of wires: 2
• Number of parameters: 1

Parameters:wires (int) – the subsystem the gate acts on

Attributes

base_name	Get base name of the operator.
basis
control_wires	For operations that are controlled, returns the set of control wires.
eigvals	Eigenvalues of an instantiated operator.
generator	Generator of the operation.
grad_method
grad_recipe
hash	returns an integer hash uniquely representing the operator
id	String for the ID of the operator.
inverse	Boolean determining if the inverse of the operation was requested.
is_composable_rotation
is_self_inverse
is_symmetric_over_all_wires
is_symmetric_over_control_wires
matrix	Matrix representation of an instantiated operator in the computational basis.
name	Get and set the name of the operator.
num_params
num_wires
par_domain
parameters	Current parameter values.
single_qubit_rot_angles	The parameters required to implement a single-qubit gate as an equivalent Rot gate, up to a global phase.
string_for_inverse
wires	Wires of this operator.

base_name

Get base name of the operator.

basis = None

control_wires

For operations that are controlled, returns the set of control wires.

Returns:The set of control wires of the operation. Return type:Wires

eigvals

Eigenvalues of an instantiated operator.

Note that the eigenvalues are not guaranteed to be in any particular order.

Example:

>>> U = qml.RZ(0.5, wires=1)
>>> U.eigvals
>>> array([0.96891242-0.24740396j, 0.96891242+0.24740396j])

Returns:eigvals representation Return type:array

generator

Generator of the operation.

A length-2 list [generator, scaling_factor], where

• generator is an existing PennyLane operation class or \(2\times 2\) Hermitian array that acts as the generator of the current operation
• scaling_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 = 'A'

grad_recipe = 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

is_self_inverse = None

is_symmetric_over_all_wires = None

is_symmetric_over_control_wires = None

matrix

Matrix representation of an instantiated operator in the computational basis.

Example:

>>> U = qml.RY(0.5, wires=1)
>>> U.matrix
>>> array([[ 0.96891242+0.j, -0.24740396+0.j],
           [ 0.24740396+0.j,  0.96891242+0.j]])

Returns:matrix representation Return type:array

name

Get and set the name of the operator.

num_params = 1

num_wires = 2

par_domain = 'R'

parameters

Current parameter values.

single_qubit_rot_angles

The parameters required to implement a single-qubit 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'

wires

Wires of this operator.

Returns:wires Return type:Wires

Methods

adjoint([do_queue])	Create an operation that is the adjoint of this one.
decomposition(*params, 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(do_queue=False)

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(*params, 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:JacobianTape

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.