qml.devices.default_tensor.DefaultTensor¶

class
DefaultTensor
(wires=None, method='mps', c_dtype=<class 'numpy.complex128'>, **kwargs)[source]¶ Bases:
pennylane.devices.device_api.Device
A PennyLane device to perform tensor network simulations of quantum circuits using quimb.
This device is designed to simulate largescale quantum circuits using tensor networks. For small circuits, other devices like
default.qubit
may be more suitable.The backend uses the
quimb
library to perform the tensor network operations, and different methods can be used to simulate the quantum circuit. The supported methods are Matrix Product State (MPS) and Tensor Network (TN).This device does not currently support finiteshots or differentiation. At present, the supported measurement types are expectation values, variances and state measurements. Finally,
UserWarnings
from thecotengra
package may appear when using this device. Parameters
wires (int, Iterable[Number, str]) – Number of wires present on the device, or iterable that contains unique labels for the wires as numbers (e.g.,
[1, 0, 2]
) or strings (e.g.,['aux_wire', 'q1', 'q2']
).method (str) – Supported method. The supported methods are
"mps"
(Matrix Product State) and"tn"
(Tensor Network).c_dtype (type) – Complex data type for the tensor representation. Must be one of
numpy.complex64
ornumpy.complex128
.**kwargs – Keyword arguments for the device, passed to the
quimb
backend.
 Keyword Arguments
max_bond_dim (int) – Maximum bond dimension for the MPS method. It corresponds to the maximum number of Schmidt coefficients (singular values) retained at the end of the SVD algorithm when applying gates. Default is
None
(i.e. unlimited).cutoff (float) – Truncation threshold for the Schmidt coefficients in the MPS method. Default is
None
(which is equivalent to retaining all coefficients).contract (str) – The contraction method for applying gates. The possible options depend on the method chosen. For the MPS method, the options are
"automps"
,"swap+split"
and"nonlocal"
. For a description of these options, see the quimb’s CircuitMPS documentation. Default is"automps"
. For the TN method, the options are"autosplitgate"
,"splitgate"
,"reducesplit"
,"swapsplitgate"
,"split"
,True
, andFalse
. For details, see the quimb’s tensor_core documentation. Default is"autosplitgate"
.contraction_optimizer (str) – The contraction path optimizer to use for the computation of local expectation values. For more information on the optimizer options accepted by
quimb
, see the quimb’s tensor_contract documentation. Default is"autohq"
.local_simplify (str) – The simplification sequence to apply to the tensor network for computing local expectation values. For a complete list of available simplification options, see the quimb’s full_simplify documentation. Default is
"ADCRS"
.
Example:
The following code shows how to create a simple shortdepth quantum circuit with 100 qubits using the
default.tensor
device. Depending on the machine, the execution time for this circuit is around 0.3 seconds:import pennylane as qml num_qubits = 100 dev = qml.device("default.tensor", wires=num_qubits) @qml.qnode(dev) def circuit(num_qubits): for qubit in range(0, num_qubits  1): qml.CZ(wires=[qubit, qubit + 1]) qml.X(wires=[qubit]) qml.Z(wires=[qubit + 1]) return qml.expval(qml.Z(0))
>>> circuit(num_qubits) tensor(1., requires_grad=True)
We can provide additional keyword arguments to the device to customize the simulation. These are passed to the
quimb
backend.Usage with MPS Method
In the following example, we consider a slightly more complex circuit. We use the
default.tensor
device with the MPS method, setting the maximum bond dimension to 100 and the cutoff to the machine epsilon.We set
"automps"
as the contraction technique to apply gates. With this option,quimb
turns 3qubit gates and 4qubit gates into Matrix Product Operators (MPO) and applies them directly to the MPS. On the other hand, qubits involved in 2qubit gates may be temporarily swapped to adjacent positions before applying the gate and then returned to their original positions.import pennylane as qml import numpy as np theta = 0.5 phi = 0.1 num_qubits = 50 device_kwargs_mps = { "max_bond_dim": 100, "cutoff": np.finfo(np.complex128).eps, "contract": "automps", } dev = qml.device("default.tensor", wires=num_qubits, method="mps", **device_kwargs_mps) @qml.qnode(dev) def circuit(theta, phi, num_qubits): for qubit in range(num_qubits  4): qml.X(wires=qubit) qml.RX(theta, wires=qubit + 1) qml.CNOT(wires=[qubit, qubit + 1]) qml.DoubleExcitation(phi, wires=[qubit, qubit + 1, qubit + 3, qubit + 4]) qml.CSWAP(wires=[qubit + 1, qubit + 3, qubit + 4]) qml.RY(theta, wires=qubit + 1) qml.Toffoli(wires=[qubit + 1, qubit + 3, qubit + 4]) return [ qml.expval(qml.Z(0)), qml.expval(qml.Hamiltonian([np.pi, np.e], [qml.Z(15) @ qml.Y(25), qml.Hadamard(40)])), qml.var(qml.Y(20)), ]
>>> circuit(theta, phi, num_qubits) [0.9953099539219951, 0.0036631029671767208, 0.9999999876072984]
After the first execution, the time to run this circuit for 50 qubits is around 0.5 seconds on a standard laptop. Increasing the number of qubits to 500 brings the execution time to approximately 15 seconds, and for 1000 qubits to around 50 seconds.
The time complexity and the accuracy of the results also depend on the chosen keyword arguments for the device, such as the maximum bond dimension. The specific structure of the circuit significantly affects how the time complexity and accuracy of the simulation scale with these parameters.
Usage with TN Method
We can also simulate quantum circuits using the Tensor Network (TN) method. This can be particularly useful for circuits that build up entanglement. The following example shows how to execute a quantum circuit with the TN method and configurable depth using
default.tensor
.We set the contraction technique to
"autosplitgate"
. With this option, each gate is lazily added to the tensor network and nothing is initially contracted, but the gate is automatically split if this results in a rank reduction.import pennylane as qml phi = 0.1 depth = 10 num_qubits = 100 dev = qml.device("default.tensor", method="tn", contract="autosplitgate") @qml.qnode(dev) def circuit(phi, depth, num_qubits): for qubit in range(num_qubits): qml.X(wires=qubit) for _ in range(depth): for qubit in range(num_qubits  1): qml.CNOT(wires=[qubit, qubit + 1]) for qubit in range(num_qubits): qml.RX(phi, wires=qubit) for qubit in range(num_qubits  1): qml.CNOT(wires=[qubit, qubit + 1]) return qml.expval(qml.Z(0))
>>> circuit(phi, depth, num_qubits) 0.9511499466743283
The execution time for this circuit with the above parameters is around 0.8 seconds on a standard laptop.
The tensor network method can be faster than MPS and state vector methods in some cases. As a comparison, the time for the exact calculation (i.e., with
max_bond_dim = None
) of the same circuit using theMPS
method of thedefault.tensor
device is approximately three orders of magnitude slower. Similarly, using thedefault.qubit
device results in a much slower simulation.Attributes
Tensor complex data type.
Method used by the device.
The name of the device.
Default shots for execution workflows containing this device.
A
Tracker
that can store information about device executions, shots, batches, intermediate results, or any additional device dependent information.The device wires.

c_dtype
¶ Tensor complex data type.

method
¶ Method used by the device.

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 itsshots
, not from this property. This property is used to provide a default at the start of a workflow.

tracker
: pennylane.tracker.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 userprovided 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
Methods
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 vectorJacobian product used in reversemode differentiation.
draw
([color])Draw the current state (wavefunction) associated with the circuit using
quimb
’s functionality.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 vectorJacobian product used in reversemode differentiation.
expval
(measurementprocess)Expectation value of the supplied observable contained in the MeasurementProcess.
measurement
(measurementprocess)Measure the measurement required by the circuit.
preprocess
([execution_config])This function defines the device transform program to be applied and an updated device configuration.
simulate
(circuit)Simulate a single quantum script.
state
(measurementprocess)Returns the state vector.
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 this device defines a custom vectorJacobian product.
var
(measurementprocess)Variance of the supplied observable contained in the MeasurementProcess.

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)))[source]¶ 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 data structure with all additional information required for execution.
 Returns
The Jacobian for each trainable parameter.
 Return type
Tuple

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 (tensorlike) – 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 ascircuit.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)))[source]¶ The vectorJacobian product used in reversemode differentiation.
 Parameters
circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuit or batch of circuits.
cotangents (Tuple[Number, Tuple[Number]]) – Gradientoutput 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 data structure with all additional information required for execution.
 Returns
A numeric result of computing the vectorJacobian product.
 Return type
tensorlike

draw
(color='auto', **kwargs)[source]¶ Draw the current state (wavefunction) associated with the circuit using
quimb
’s functionality.Internally, it uses
quimb
’sdraw
method. Parameters
color (str) – The color of the tensor network diagram. Default is
"auto"
.**kwargs – Additional keyword arguments for the
quimb
’sdraw
function. For more information, see the quimb’s draw documentation.
Example
Here is a minimal example of how to draw the current state of the circuit:
import pennylane as qml dev = qml.device("default.tensor", method="mps", wires=15) dev.draw()
We can also customize the appearance of the tensor network diagram by passing additional keyword arguments:
dev = qml.device("default.tensor", method="tn", contract=False) @qml.qnode(dev) def circuit(num_qubits): for i in range(num_qubits): qml.Hadamard(wires=i) for _ in range(1, num_qubits  1): for i in range(0, num_qubits, 2): qml.CNOT(wires=[i, i + 1]) for i in range(10): qml.RZ(1.234, wires=i) for i in range(1, num_qubits  1, 2): qml.CZ(wires=[i, i + 1]) for i in range(num_qubits): qml.RX(1.234, wires=i) for i in range(num_qubits): qml.Hadamard(wires=i) return qml.expval(qml.Z(0)) num_qubits = 12 result = circuit(num_qubits) dev.draw(color="auto", show_inds=True)

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 data structure with additional information required for execution.
 Returns
A numeric result of the computation.
 Return type
TensorLike, tuple[TensorLike], tuple[tuple[TensorLike]]

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)))[source]¶ 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 data structure with all additional information required for execution.
 Returns
A numeric result of the computation and the gradient.
 Return type
tuple

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 (tensorlike) – 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_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)))[source]¶ Calculate both the results and the vectorJacobian product used in reversemode differentiation.
 Parameters
circuits (Union[QuantumTape, Sequence[QuantumTape]]) – the circuit or batch of circuits to be executed.
cotangents (Tuple[Number, Tuple[Number]]) – Gradientoutput vector. Must have shape matching the output shape of the corresponding circuit.
execution_config (ExecutionConfig) – a data structure with all additional information required for execution.
 Returns
the result of executing the scripts and the numeric result of computing the vectorJacobian product.
 Return type
Tuple, Tuple

expval
(measurementprocess)[source]¶ Expectation value of the supplied observable contained in the MeasurementProcess.
 Parameters
measurementprocess (StateMeasurement) – measurement to apply.
 Returns
Expectation value of the observable.

measurement
(measurementprocess)[source]¶ Measure the measurement required by the circuit.
 Parameters
measurementprocess (MeasurementProcess) – measurement to apply to the state.
 Returns
the result of the measurement.
 Return type
TensorLike

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
’s 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
This device currently:
Does not support finite shots.
Does not support derivatives.
Does not support vectorJacobian products.

simulate
(circuit)[source]¶ Simulate a single quantum script. This function assumes that all operations provide matrices.
 Parameters
circuit (QuantumScript) – The single circuit to simulate.
 Returns
The results of the simulation.
 Return type
Tuple[TensorLike]

supports_derivatives
(execution_config=None, circuit=None)[source]¶ Check whether or not derivatives are available for a given configuration and circuit.
 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
ifcompute_jvp()
is overridden.

supports_vjp
(execution_config=None, circuit=None)[source]¶ Whether or not this device defines a custom vectorJacobian product.
 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

var
(measurementprocess)[source]¶ Variance of the supplied observable contained in the MeasurementProcess.
 Parameters
measurementprocess (StateMeasurement) – measurement to apply.
 Returns
Variance of the observable.