# pennylane_aqt.ops.MS¶

class MS(wires)[source]

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
 base_name Get base name of the operator. eigvals Eigenvalues of an instantiated operator. generator Generator of the operation. grad_method grad_recipe inverse Boolean determining if the inverse of the operation was requested. 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. string_for_inverse wires Wires of this operator.
base_name

Get base name of the operator.

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 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
inverse

Boolean determining if the inverse of the operation was requested.

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 array
name

Get and set the name of the operator.

num_params = 1
num_wires = 2
par_domain = 'R'
parameters

Current parameter values.

string_for_inverse = '.inv'
wires

Wires of this operator.

Returns: wires Wires
 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() 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.

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. 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 multiplier, shift 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 Operator
queue()

Append the operator to the Operator queue.

Usage

API