# qml.devices.default_gaussian.DefaultGaussian¶

class DefaultGaussian(wires, *, shots=None, hbar=2, analytic=None)[source]

Bases: pennylane._device.Device

Default Gaussian device for PennyLane.

Parameters
• wires (int, Iterable[Number, str]) – Number of subsystems represented by the device, or iterable that contains unique labels for the subsystems as numbers (i.e., [-1, 0, 2]) or strings (['ancilla', 'q1', 'q2']). Default 1 if not specified.

• shots (None, int) – How many times the circuit should be evaluated (or sampled) to estimate the expectation values. If None, the results are analytically computed and hence deterministic.

• hbar (float) – (default 2) the value of $$\hbar$$ in the commutation relation $$[\x,\p]=i\hbar$$

 analytic Whether shots is None or not. author name num_executions Number of times this device is executed by the evaluation of QNodes running on this device obs_queue The observables to be measured and returned. observables Get the supported set of observables. op_queue The operation queue to be applied. operations Get the supported set of operations. parameters Mapping from free parameter index to the list of Operations in the device queue that depend on it. pennylane_requires short_name shot_vector Returns the shot vector, a sparse representation of the shot sequence used by the device when evaluating QNodes. shots Number of circuit evaluations/random samples used to estimate expectation values of observables stopping_condition Returns the stopping condition for the device. version wire_map Ordered dictionary that defines the map from user-provided wire labels to the wire labels used on this device wires All wires that can be addressed on this device
analytic

Whether shots is None or not. Kept for backwards compatability.

author = 'Xanadu Inc.'
name = 'Default Gaussian PennyLane plugin'
num_executions

Number of times this device is executed by the evaluation of QNodes running on this device

Returns

number of executions

Return type

int

obs_queue

The observables to be measured and returned.

Note that this property can only be accessed within the execution context of execute().

Raises

ValueError – if outside of the execution context

Returns

list[~.operation.Observable]

observables
op_queue

The operation queue to be applied.

Note that this property can only be accessed within the execution context of execute().

Raises

ValueError – if outside of the execution context

Returns

list[~.operation.Operation]

operations
parameters

Mapping from free parameter index to the list of Operations in the device queue that depend on it.

Note that this property can only be accessed within the execution context of execute().

Raises

ValueError – if outside of the execution context

Returns

the mapping

Return type

dict[int->list[ParameterDependency]]

pennylane_requires = '0.26.0-dev'
short_name = 'default.gaussian'
shot_vector

Returns the shot vector, a sparse representation of the shot sequence used by the device when evaluating QNodes.

Example

>>> dev = qml.device("default.qubit", wires=2, shots=[3, 1, 2, 2, 2, 2, 6, 1, 1, 5, 12, 10, 10])
>>> dev.shots
57
>>> dev.shot_vector
[ShotTuple(shots=3, copies=1),
ShotTuple(shots=1, copies=1),
ShotTuple(shots=2, copies=4),
ShotTuple(shots=6, copies=1),
ShotTuple(shots=1, copies=2),
ShotTuple(shots=5, copies=1),
ShotTuple(shots=12, copies=1),
ShotTuple(shots=10, copies=2)]


The sparse representation of the shot sequence is returned, where tuples indicate the number of times a shot integer is repeated.

Type

list[ShotTuple[int, int]]

shots

Number of circuit evaluations/random samples used to estimate expectation values of observables

stopping_condition

Returns the stopping condition for the device. The returned function accepts a queuable object (including a PennyLane operation and observable) and returns True if supported by the device.

Type

BooleanFn

version = '0.26.0-dev'
wire_map

Ordered dictionary that defines the map from user-provided wire labels to the wire labels used on this device

wires

All wires that can be addressed on this device

 apply(operation, wires, par) Apply a quantum operation. batch_execute(circuits) Execute a batch of quantum circuits on the device. batch_transform(circuit) Apply a differentiable batch transform for preprocessing a circuit prior to execution. Get the capabilities of this device class. check_validity(queue, observables) Checks whether the operations and observables in queue are all supported by the device. Register a custom expansion function for the device. default_expand_fn(circuit[, max_expansion]) Method for expanding or decomposing an input circuit. define_wire_map(wires) Create the map from user-provided wire labels to the wire labels used by the device. execute(queue, observables[, parameters]) Execute a queue of quantum operations on the device and then measure the given observables. execute_and_gradients(circuits[, method]) Execute a batch of quantum circuits on the device, and return both the results and the gradients. The device execution context used during calls to execute(). expand(S, wires) Expands a Symplectic matrix S to act on the entire subsystem. expand_fn(circuit[, max_expansion]) Method for expanding or decomposing an input circuit. expval(observable, wires, par) Returns the expectation value of observable on specified wires. gradients(circuits[, method]) Return the gradients of a batch of quantum circuits on the device. map_wires(wires) Map the wire labels of wires using this device’s wire map. order_wires(subset_wires) Given some subset of device wires return a Wires object with the same wires; sorted according to the device wire map. Called during execute() after the individual operations have been executed. Called during execute() after the individual observables have been measured. Called during execute() before the individual operations are executed. Called during execute() before the individual observables are measured. probability([wires]) Return the (marginal) probability of each computational basis state from the last run of the device. reduced_state(wires) Returns the covariance matrix and the vector of means of the specified wires. Reset the device sample(observable, wires, par) Return a sample of an observable. supports_observable(observable) Checks if an observable is supported by this device. Raises a ValueError, supports_operation(operation) Checks if an operation is supported by this device. var(observable, wires, par) Returns the variance of observable on specified wires.
apply(operation, wires, par)[source]

Apply a quantum operation.

For plugin developers: this function should apply the operation on the device.

Parameters
• operation (str) – name of the operation

• wires (Wires) – wires that the operation is applied to

• par (tuple) – parameters for the operation

batch_execute(circuits)

Execute a batch of quantum circuits on the device.

The circuits are represented by tapes, and they are executed one-by-one using the device’s execute method. The results are collected in a list.

For plugin developers: This function should be overwritten if the device can efficiently run multiple circuits on a backend, for example using parallel and/or asynchronous executions.

Parameters

circuits (list[tape.QuantumTape]) – circuits to execute on the device

Returns

list of measured value(s)

Return type

list[array[float]]

batch_transform(circuit)

Apply a differentiable batch transform for preprocessing a circuit prior to execution. This method is called directly by the QNode, and should be overwritten if the device requires a transform that generates multiple circuits prior to execution.

By default, this method contains logic for generating multiple circuits, one per term, of a circuit that terminates in expval(H), if the underlying device does not support Hamiltonian expectation values, or if the device requires finite shots.

Warning

This method will be tracked by autodifferentiation libraries, such as Autograd, JAX, TensorFlow, and Torch. Please make sure to use qml.math for autodiff-agnostic tensor processing if required.

Parameters

circuit (QuantumTape) – the circuit to preprocess

Returns

Returns a tuple containing the sequence of circuits to be executed, and a post-processing function to be applied to the list of evaluated circuit results.

Return type

tuple[Sequence[QuantumTape], callable]

classmethod capabilities()[source]

Get the capabilities of this device class.

Inheriting classes that change or add capabilities must override this method, for example via

@classmethod
def capabilities(cls):
capabilities = super().capabilities().copy()
capabilities.update(
supports_inverse_operations=False,
supports_a_new_capability=True,
)
return capabilities

Returns

results

Return type

dict[str->*]

check_validity(queue, observables)

Checks whether the operations and observables in queue are all supported by the device. Includes checks for inverse operations.

Parameters
• queue (Iterable[Operation]) – quantum operation objects which are intended to be applied on the device

• observables (Iterable[Observable]) – observables which are intended to be evaluated on the device

Raises

DeviceError – if there are operations in the queue or observables that the device does not support

custom_expand(fn)

Register a custom expansion function for the device.

Example

dev = qml.device("default.qubit", wires=2)

@dev.custom_expand
def my_expansion_function(self, tape, max_expansion=10):
...
# can optionally call the default device expansion
tape = self.default_expand_fn(tape, max_expansion=max_expansion)
return tape


The custom device expansion function must have arguments self (the device object), tape (the input circuit to transform and execute), and max_expansion (the number of times the circuit should be expanded).

The default default_expand_fn() method of the original device may be called. It is highly recommended to call this before returning, to ensure that the expanded circuit is supported on the device.

default_expand_fn(circuit, max_expansion=10)

Method for expanding or decomposing an input circuit. This method should be overwritten if custom expansion logic is required.

By default, this method expands the tape if:

• nested tapes are present,

• any operations are not supported on the device, or

• multiple observables are measured on the same wire.

Parameters
• circuit (QuantumTape) – the circuit to expand.

• max_expansion (int) – The number of times the circuit should be expanded. Expansion occurs when an operation or measurement is not supported, and results in a gate decomposition. If any operations in the decomposition remain unsupported by the device, another expansion occurs.

Returns

The expanded/decomposed circuit, such that the device will natively support all operations.

Return type

QuantumTape

define_wire_map(wires)

Create the map from user-provided wire labels to the wire labels used by the device.

The default wire map maps the user wire labels to wire labels that are consecutive integers.

However, by overwriting this function, devices can specify their preferred, non-consecutive and/or non-integer wire labels.

Parameters

wires (Wires) – user-provided wires for this device

Returns

dictionary specifying the wire map

Return type

OrderedDict

Example

>>> dev = device('my.device', wires=['b', 'a'])
>>> dev.wire_map()
OrderedDict( [(<Wires = ['a']>, <Wires = [0]>), (<Wires = ['b']>, <Wires = [1]>)])

execute(queue, observables, parameters=None, **kwargs)

Execute a queue of quantum operations on the device and then measure the given observables.

For plugin developers: Instead of overwriting this, consider implementing a suitable subset of pre_apply(), apply(), post_apply(), pre_measure(), expval(), var(), sample(), post_measure(), and execution_context().

Parameters
• queue (Iterable[Operation]) – operations to execute on the device

• observables (Iterable[Observable]) – observables to measure and return

• parameters (dict[int, list[ParameterDependency]]) – Mapping from free parameter index to the list of Operations (in the queue) that depend on it.

Keyword Arguments

return_native_type (bool) – If True, return the result in whatever type the device uses internally, otherwise convert it into array[float]. Default: False.

Raises

QuantumFunctionError – if the value of return_type is not supported

Returns

measured value(s)

Return type

array[float]

execute_and_gradients(circuits, method='jacobian', **kwargs)

Execute a batch of quantum circuits on the device, and return both the results and the gradients.

The circuits are represented by tapes, and they are executed one-by-one using the device’s execute method. The results and the corresponding Jacobians are collected in a list.

For plugin developers: This method should be overwritten if the device can efficiently run multiple circuits on a backend, for example using parallel and/or asynchronous executions, and return both the results and the Jacobians.

Parameters
• circuits (list[tape.QuantumTape]) – circuits to execute on the device

• method (str) – the device method to call to compute the Jacobian of a single circuit

• **kwargs – keyword argument to pass when calling method

Returns

Tuple containing list of measured value(s) and list of Jacobians. Returned Jacobians should be of shape (output_shape, num_params).

Return type

tuple[list[array[float]], list[array[float]]]

execution_context()

The device execution context used during calls to execute().

You can overwrite this function to return a context manager in case your quantum library requires that; all operations and method calls (including apply() and expval()) are then evaluated within the context of this context manager (see the source of Device.execute() for more details).

expand(S, wires)[source]

Expands a Symplectic matrix S to act on the entire subsystem.

Parameters
• S (array) – a $$2M\times 2M$$ Symplectic matrix

• wires (Wires) – wires of the modes that S acts on

Returns

the resulting $$2N\times 2N$$ Symplectic matrix

Return type

array

expand_fn(circuit, max_expansion=10)

Method for expanding or decomposing an input circuit. Can be the default or a custom expansion method, see Device.default_expand_fn() and Device.custom_expand() for more details.

Parameters
• circuit (QuantumTape) – the circuit to expand.

• max_expansion (int) – The number of times the circuit should be expanded. Expansion occurs when an operation or measurement is not supported, and results in a gate decomposition. If any operations in the decomposition remain unsupported by the device, another expansion occurs.

Returns

The expanded/decomposed circuit, such that the device will natively support all operations.

Return type

QuantumTape

expval(observable, wires, par)[source]

Returns the expectation value of observable on specified wires.

Note: all arguments accept _lists_, which indicate a tensor product of observables.

Parameters
• observable (str or list[str]) – name of the observable(s)

• wires (Wires) – wires the observable(s) are to be measured on

• par (tuple or list[tuple]]) – parameters for the observable(s)

Returns

expectation value $$\expect{A} = \bra{\psi}A\ket{\psi}$$

Return type

float

gradients(circuits, method='jacobian', **kwargs)

Return the gradients of a batch of quantum circuits on the device.

The gradient method method is called sequentially for each circuit, and the corresponding Jacobians are collected in a list.

For plugin developers: This method should be overwritten if the device can efficiently compute the gradient of multiple circuits on a backend, for example using parallel and/or asynchronous executions.

Parameters
• circuits (list[tape.QuantumTape]) – circuits to execute on the device

• method (str) – the device method to call to compute the Jacobian of a single circuit

• **kwargs – keyword argument to pass when calling method

Returns

List of Jacobians. Returned Jacobians should be of shape (output_shape, num_params).

Return type

list[array[float]]

map_wires(wires)

Map the wire labels of wires using this device’s wire map.

Parameters

wires (Wires) – wires whose labels we want to map to the device’s internal labelling scheme

Returns

wires with new labels

Return type

Wires

order_wires(subset_wires)

Given some subset of device wires return a Wires object with the same wires; sorted according to the device wire map.

Parameters

subset_wires (Wires) – The subset of device wires (in any order).

Raises

ValueError – Could not find some or all subset wires subset_wires in device wires device_wires.

Returns

a new Wires object containing the re-ordered wires set

Return type

ordered_wires (Wires)

post_apply()

Called during execute() after the individual operations have been executed.

post_measure()

Called during execute() after the individual observables have been measured.

pre_apply()[source]

Called during execute() before the individual operations are executed.

pre_measure()

Called during execute() before the individual observables are measured.

probability(wires=None)

Return the (marginal) probability of each computational basis state from the last run of the device.

Parameters

wires (Sequence[int]) – Sequence of wires to return marginal probabilities for. Wires not provided are traced out of the system.

Returns

Dictionary mapping a tuple representing the state to the resulting probability. The dictionary should be sorted such that the state tuples are in lexicographical order.

Return type

OrderedDict[tuple, float]

reduced_state(wires)[source]

Returns the covariance matrix and the vector of means of the specified wires.

Parameters

wires (Wires) – requested wires

Returns

cov is a square array containing the covariance matrix, and means is an array containing the vector of means

Return type

tuple (cov, means)

reset()[source]

Reset the device

sample(observable, wires, par)[source]

Return a sample of an observable.

Note

The default.gaussian plugin only supports sampling from X, P, and QuadOperator observables.

Parameters
• observable (str) – name of the observable

• wires (Wires) – wires the observable is to be measured on

• par (tuple) – parameters for the observable

Returns

samples in an array of dimension (n, num_wires)

Return type

array[float]

supports_observable(observable)
Checks if an observable is supported by this device. Raises a ValueError,

if not a subclass or string of an Observable was passed.

Parameters

observable (type or str) – observable to be checked

Raises

ValueError – if observable is not a Observable class or string

Returns

True iff supplied observable is supported

Return type

bool

supports_operation(operation)

Checks if an operation is supported by this device.

Parameters

operation (type or str) – operation to be checked

Raises

ValueError – if operation is not a Operation class or string

Returns

True iff supplied operation is supported

Return type

bool

var(observable, wires, par)[source]

Returns the variance of observable on specified wires.

Note: all arguments support _lists_, which indicate a tensor product of observables.

Parameters
• observable (str or list[str]) – name of the observable(s)

• wires (Wires) – wires the observable(s) is to be measured on

• par (tuple or list[tuple]]) – parameters for the observable(s)

Raises

NotImplementedError – if the device does not support variance computation

Returns

variance $$\mathrm{var}(A) = \bra{\psi}A^2\ket{\psi} - \bra{\psi}A\ket{\psi}^2$$

Return type

float