qml.devices.default_qutrit_mixed.DefaultQutritMixed

class DefaultQutritMixed(wires=None, shots=None, seed='global', readout_relaxation_probs=None, readout_misclassification_probs=None)[source]

Bases: pennylane.devices.device_api.Device

A PennyLane Python-based device for mixed-state qutrit simulation.

Parameters
  • wires (int, Iterable[Number, str]) – Number of wires present on the device, or iterable that contains unique labels for the wires as numbers (i.e., [-1, 0, 2]) or strings (['ancilla', 'q1', 'q2']). Default None if not specified.

  • shots (int, Sequence[int], Sequence[Union[int, Sequence[int]]]) – The default number of shots to use in executions involving this device.

  • seed (Union[str, None, int, array_like[int], SeedSequence, BitGenerator, Generator, jax.random.PRNGKey]) – A seed-like parameter matching that of seed for numpy.random.default_rng, or a request to seed from numpy’s global random number generator. The default, seed="global" pulls a seed from NumPy’s global generator. seed=None will pull a seed from the OS entropy. If a jax.random.PRNGKey is passed as the seed, a JAX-specific sampling function using jax.random.choice and the PRNGKey will be used for sampling rather than numpy.random.default_rng.

  • readout_relaxation_probs (List[float]) – Input probabilities for relaxation errors implemented with the QutritAmplitudeDamping channel. The input defines the channel’s parameters \([\gamma_{10}, \gamma_{20}, \gamma_{21}]\).

  • readout_misclassification_probs (List[float]) – Input probabilities for state readout misclassification events implemented with the TritFlip channel. The input defines the channel’s parameters \([p_{01}, p_{02}, p_{12}]\).

Example:

n_wires = 5
num_qscripts = 5
qscripts = []
for i in range(num_qscripts):
    unitary = scipy.stats.unitary_group(dim=3**n_wires, seed=(42 + i)).rvs()
    op = qml.QutritUnitary(unitary, wires=range(n_wires))
    qs = qml.tape.QuantumScript([op], [qml.expval(qml.GellMann(0, 3))])
    qscripts.append(qs)
>>> dev = DefaultQutritMixed()
>>> program, execution_config = dev.preprocess()
>>> new_batch, post_processing_fn = program(qscripts)
>>> results = dev.execute(new_batch, execution_config=execution_config)
>>> post_processing_fn(results)
[0.08015701503959313,
0.04521414211599359,
-0.0215232130089687,
0.062120285032425865,
-0.0635052317625]

This device currently supports backpropagation derivatives:

>>> from pennylane.devices import ExecutionConfig
>>> dev.supports_derivatives(ExecutionConfig(gradient_method="backprop"))
True

For example, we can use jax to jit computing the derivative:

import jax

@jax.jit
def f(x):
    qs = qml.tape.QuantumScript([qml.TRX(x, 0)], [qml.expval(qml.GellMann(0, 3))])
    program, execution_config = dev.preprocess()
    new_batch, post_processing_fn = program([qs])
    results = dev.execute(new_batch, execution_config=execution_config)
    return post_processing_fn(results)[0]
>>> f(jax.numpy.array(1.2))
DeviceArray(0.36235774, dtype=float32)
>>> jax.grad(f)(jax.numpy.array(1.2))
DeviceArray(-0.93203914, dtype=float32, weak_type=True)

DefaultQutritMixed includes readout error support. Two input arguments control the parameters of error channels applied to each measured wire of the state after it has been diagonalized for measurement:

  • readout_relaxation_probs: Input parameters of a QutritAmplitudeDamping channel. This error models state relaxation error that occurs during readout of transmon-based qutrits. The motivation for this readout error is described in [1] (Sec II.A).

  • readout_misclassification_probs: Input parameters of a TritFlip channel. This error models misclassification events in readout. An example of this readout error can be seen in [2] (Fig 1a).

In the case that both parameters are defined, relaxation error is applied first then misclassification error is applied.

Note

The readout errors will be applied to the state after it has been diagonalized for each measurement. This may give different results depending on how the observable is defined. This is because diagonalizing gates for the same observable may return eigenvalues in different orders. For example, measuring THermitian with a non-diagonal GellMann matrix will result in a different measurement result then measuring the equivalent GellMann observable, as the THermitian eigenvalues are returned in increasing order when explicitly diagonalized (i.e., [-1, 0, 1]), while non-diagonal GellManns provided in PennyLane have their eigenvalues hardcoded (i.e., [1, -1, 0]).

DefaultQutritMixed tracks:

  • executions: the number of unique circuits that would be required on quantum hardware

  • shots: the number of shots

  • resources: the Resources for the executed circuit.

  • simulations: the number of simulations performed. One simulation can cover multiple QPU executions, such as for non-commuting measurements and batched parameters.

  • batches: The number of times execute() is called.

  • results: The results of each call of execute()

name

The name of the device.

shots

Default shots for execution workflows containing this device.

tracker

A Tracker that can store information about device executions, shots, batches, intermediate results, or any additional device dependent information.

wires

The device wires.

name

The name of the device.

shots

Default shots for execution workflows containing this device.

Note that the device itself should always pull shots from the provided QuantumTape and its shots, not from this property. This property is used to provide a default at the start of a workflow.

tracker = <pennylane.tracker.Tracker object>

A Tracker that can store information about device executions, shots, batches, intermediate results, or any additional device dependent information.

A plugin developer can store information in the tracker by:

# querying if the tracker is active
if self.tracker.active:

    # store any keyword: value pairs of information
    self.tracker.update(executions=1, shots=self._shots, results=results)

    # Calling a user-provided callback function
    self.tracker.record()
wires

The device wires.

Note that wires are optional, and the default value of None means any wires can be used. If a device has wires defined, they will only be used for certain features. This includes:

  • Validation of tapes being executed on the device

  • Defining the wires used when evaluating a state() measurement

compute_derivatives(circuits[, execution_config])

Calculate the jacobian of either a single or a batch of circuits on the device.

compute_jvp(circuits, tangents[, ...])

The jacobian vector product used in forward mode calculation of derivatives.

compute_vjp(circuits, cotangents[, ...])

The vector jacobian product used in reverse-mode differentiation.

execute(circuits[, execution_config])

Execute a circuit or a batch of circuits and turn it into results.

execute_and_compute_derivatives(circuits[, ...])

Compute the results and jacobians of circuits at the same time.

execute_and_compute_jvp(circuits, tangents)

Execute a batch of circuits and compute their jacobian vector products.

execute_and_compute_vjp(circuits, cotangents)

Calculate both the results and the vector jacobian product used in reverse-mode differentiation.

preprocess([execution_config])

This function defines the device transform program to be applied and an updated device configuration.

supports_derivatives([execution_config, circuit])

Check whether or not derivatives are available for a given configuration and circuit.

supports_jvp([execution_config, circuit])

Whether or not a given device defines a custom jacobian vector product.

supports_vjp([execution_config, circuit])

Whether or not a given device defines a custom vector jacobian product.

compute_derivatives(circuits, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))

Calculate the jacobian of either a single or a batch of circuits on the device.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuits to calculate derivatives for

  • execution_config (ExecutionConfig) – a datastructure with all additional information required for execution

Returns

The jacobian for each trainable parameter

Return type

Tuple

Execution Config:

The execution config has gradient_method and order property that describes the order of differentiation requested. If the requested method or order of gradient is not provided, the device should raise a NotImplementedError. The supports_derivatives() method can pre-validate supported orders and gradient methods.

Return Shape:

If a batch of quantum scripts is provided, this method should return a tuple with each entry being the gradient of each individual quantum script. If the batch is of length 1, then the return tuple should still be of length 1, not squeezed.

compute_jvp(circuits, tangents, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))

The jacobian vector product used in forward mode calculation of derivatives.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuit or batch of circuits

  • tangents (tensor-like) – Gradient vector for input parameters.

  • execution_config (ExecutionConfig) – a datastructure with all additional information required for execution

Returns

A numeric result of computing the jacobian vector product

Return type

Tuple

Definition of jvp:

If we have a function with jacobian:

\[\vec{y} = f(\vec{x}) \qquad J_{i,j} = \frac{\partial y_i}{\partial x_j}\]

The Jacobian vector product is the inner product with the derivatives of \(x\), yielding only the derivatives of the output \(y\):

\[\text{d}y_i = \Sigma_{j} J_{i,j} \text{d}x_j\]

Shape of tangents:

The tangents tuple should be the same length as circuit.get_parameters() and have a single number per parameter. If a number is zero, then the gradient with respect to that parameter does not need to be computed.

compute_vjp(circuits, cotangents, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))

The vector jacobian product used in reverse-mode differentiation.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuit or batch of circuits

  • cotangents (Tuple[Number, Tuple[Number]]) – Gradient-output vector. Must have shape matching the output shape of the corresponding circuit. If the circuit has a single output, cotangents may be a single number, not an iterable of numbers.

  • execution_config (ExecutionConfig) – a datastructure with all additional information required for execution

Returns

A numeric result of computing the vector jacobian product

Return type

tensor-like

Definition of vjp:

If we have a function with jacobian:

\[\vec{y} = f(\vec{x}) \qquad J_{i,j} = \frac{\partial y_i}{\partial x_j}\]

The vector jacobian product is the inner product of the derivatives of the output y with the Jacobian matrix. The derivatives of the output vector are sometimes called the cotangents.

\[\text{d}x_i = \Sigma_{i} \text{d}y_i J_{i,j}\]

Shape of cotangents:

The value provided to cotangents should match the output of execute().

execute(circuits, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))[source]

Execute a circuit or a batch of circuits and turn it into results.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the quantum circuits to be executed

  • execution_config (ExecutionConfig) – a datastructure with additional information required for execution

Returns

A numeric result of the computation.

Return type

TensorLike, tuple[TensorLike], tuple[tuple[TensorLike]]

Interface parameters:

The provided circuits may contain interface specific data-types like torch.Tensor or jax.Array when gradient_method of "backprop" is requested. If the gradient method is not backpropagation, then only vanilla numpy parameters or builtins will be present in the circuits.

See Return Type Specification for more detailed information.

The result for each QuantumTape must match the shape specified by shape.

The level of priority for dimensions from outer dimension to inner dimension is:

  1. Quantum Script in batch

  2. Shot choice in a shot vector

  3. Measurement in the quantum script

  4. Parameter broadcasting

  5. Measurement shape for array-valued measurements like probabilities

For a batch of quantum scripts with multiple measurements, a shot vector, and parameter broadcasting:

  • result[0]: the results for the first script

  • result[0][0]: the first shot number in the shot vector

  • result[0][0][0]: the first measurement in the quantum script

  • result[0][0][0][0]: the first parameter broadcasting choice

  • result[0][0][0][0][0]: the first value for an array-valued measurement

With the exception of quantum script batches, dimensions with only a single component should be eliminated.

For example:

With a single script and a single measurement process, execute should return just the measurement value in a numpy array. shape currently accepts a device, as historically devices stored shot information. In the future, this method will accept an ExecutionConfig instead.

>>> tape = qml.tape.QuantumTape(measurements=qml.expval(qml.Z(0))])
>>> tape.shape(dev)
()
>>> dev.execute(tape)
array(1.0)

If execute recieves a batch of scripts, then it should return a tuple of results:

>>> dev.execute([tape, tape])
(array(1.0), array(1.0))
>>> dev.execute([tape])
(array(1.0),)

If the script has multiple measurments, then the device should return a tuple of measurements.

>>> tape = qml.tape.QuantumTape(measurements=[qml.expval(qml.Z(0)), qml.probs(wires=(0,1))])
>>> tape.shape(dev)
((), (4,))
>>> dev.execute(tape)
(array(1.0), array([1., 0., 0., 0.]))
execute_and_compute_derivatives(circuits, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))

Compute the results and jacobians of circuits at the same time.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuits or batch of circuits

  • execution_config (ExecutionConfig) – a datastructure with all additional information required for execution

Returns

A numeric result of the computation and the gradient.

Return type

tuple

See execute() and compute_derivatives() for more information about return shapes and behaviour. If compute_derivatives() is defined, this method should be as well.

This method can be used when the result and execution need to be computed at the same time, such as during a forward mode calculation of gradients. For certain gradient methods, such as adjoint diff gradients, calculating the result and gradient at the same can save computational work.

execute_and_compute_jvp(circuits, tangents, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))

Execute a batch of circuits and compute their jacobian vector products.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – circuit or batch of circuits

  • tangents (tensor-like) – Gradient vector for input parameters.

  • execution_config (ExecutionConfig) – a datastructure with all additional information required for execution

Returns

A numeric result of execution and of computing the jacobian vector product

Return type

Tuple, Tuple

See also

execute() and compute_jvp()

execute_and_compute_vjp(circuits, cotangents, execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))

Calculate both the results and the vector jacobian product used in reverse-mode differentiation.

Parameters
  • circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuit or batch of circuits to be executed

  • cotangents (Tuple[Number, Tuple[Number]]) – Gradient-output vector. Must have shape matching the output shape of the corresponding circuit. If the circuit has a single output, cotangents may be a single number, not an iterable of numbers.

  • execution_config (ExecutionConfig) – a datastructure with all additional information required for execution

Returns

the result of executing the scripts and the numeric result of computing the vector jacobian product

Return type

Tuple, Tuple

See also

execute() and compute_vjp()

preprocess(execution_config=ExecutionConfig(grad_on_execution=None, use_device_gradient=None, use_device_jacobian_product=None, gradient_method=None, gradient_keyword_arguments={}, device_options={}, interface=None, derivative_order=1, mcm_config=MCMConfig(mcm_method=None, postselect_mode=None)))[source]

This function defines the device transform program to be applied and an updated device configuration.

Parameters

execution_config (Union[ExecutionConfig, Sequence[ExecutionConfig]]) – A data structure describing the parameters needed to fully describe the execution.

Returns

A transform program that when called returns QuantumTape objects that the device can natively execute, as well as a postprocessing function to be called after execution, and a configuration with unset specifications filled in.

Return type

TransformProgram, ExecutionConfig

This device:

  • Supports any qutrit operations that provide a matrix

  • Supports any qutrit channel that provides Kraus matrices

supports_derivatives(execution_config=None, circuit=None)[source]

Check whether or not derivatives are available for a given configuration and circuit.

DefaultQutritMixed supports backpropagation derivatives with analytic results.

Parameters
  • execution_config (ExecutionConfig) – The configuration of the desired derivative calculation.

  • circuit (QuantumTape) – An optional circuit to check derivatives support for.

Returns

Whether or not a derivative can be calculated provided the given information.

Return type

bool

supports_jvp(execution_config=None, circuit=None)

Whether or not a given device defines a custom jacobian vector product.

Parameters
  • execution_config (ExecutionConfig) – A description of the hyperparameters for the desired computation.

  • circuit (None, QuantumTape) – A specific circuit to check differentation for.

Default behaviour assumes this to be True if compute_jvp() is overridden.

supports_vjp(execution_config=None, circuit=None)

Whether or not a given device defines a custom vector jacobian product.

Parameters
  • execution_config (ExecutionConfig) – A description of the hyperparameters for the desired computation.

  • circuit (None, QuantumTape) – A specific circuit to check differentation for.

Default behaviour assumes this to be True if compute_vjp() is overridden.

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