qml.measurements.PurityMP

class PurityMP(wires, id=None)

Bases: pennylane.measurements.measurements.StateMeasurement

Measurement process that computes the purity of the system prior to measurement.

Please refer to pennylane.purity() for detailed documentation.

Parameters

• wires (Wires) – The wires the measurement process applies to.

• id (str) – custom label given to a measurement instance, can be useful for some applications where the instance has to be identified

Attributes

has_decomposition	Whether or not the MeasurementProcess returns a defined decomposition when calling expand.
hash	returns an integer hash uniquely representing the measurement process
numeric_type	The Python numeric type of the measurement result.
raw_wires	The wires the measurement process acts on.
return_type	Measurement return type.
samples_computational_basis	Whether or not the MeasurementProcess measures in the computational basis.
wires	The wires the measurement process acts on.

has_decomposition

Whether or not the MeasurementProcess returns a defined decomposition when calling expand.

Type

Bool

hash

returns an integer hash uniquely representing the measurement process

Type

int

numeric_type

raw_wires

The wires the measurement process acts on.

For measurements involving more than one set of wires (such as mutual information), this is a list of the Wires objects. Otherwise, this is the same as wires()

return_type

samples_computational_basis

Whether or not the MeasurementProcess measures in the computational basis.

Type

Bool

wires

The wires the measurement process acts on.

This is the union of all the Wires objects of the measurement.

Methods

diagonalizing_gates()	Returns the gates that diagonalize the measured wires such that they are in the eigenbasis of the circuit observables.
eigvals()	Eigenvalues associated with the measurement process.
expand()	Expand the measurement of an observable to a unitary rotation and a measurement in the computational basis.
map_wires(wire_map)	Returns a copy of the current measurement process with its wires changed according to the given wire map.
process_density_matrix(density_matrix, ...)	Process the given density matrix.
process_state(state, wire_order)	Process the given quantum state.
queue([context])	Append the measurement process to an annotated queue.
shape([shots, num_device_wires])	Calculate the shape of the result object tensor.
simplify()	Reduce the depth of the observable to the minimum.

diagonalizing_gates()

Returns the gates that diagonalize the measured wires such that they are in the eigenbasis of the circuit observables.

Returns

the operations that diagonalize the observables

Return type

List[Operation]

eigvals()

Eigenvalues associated with the measurement process.

If the measurement process has an associated observable, the eigenvalues will correspond to this observable. Otherwise, they will be the eigenvalues provided when the measurement process was instantiated.

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

Example:

>>> m = MeasurementProcess(Expectation, obs=qml.X(1))
>>> m.eigvals()
array([1, -1])

Returns

eigvals representation

Return type

array

expand()

Expand the measurement of an observable to a unitary rotation and a measurement in the computational basis.

Returns

a quantum tape containing the operations required to diagonalize the observable

Return type

QuantumTape

Example:

Consider a measurement process consisting of the expectation value of an Hermitian observable:

>>> H = np.array([[1, 2], [2, 4]])
>>> obs = qml.Hermitian(H, wires=['a'])
>>> m = MeasurementProcess(Expectation, obs=obs)

Expanding this out:

>>> tape = m.expand()

We can see that the resulting tape has the qubit unitary applied, and a measurement process with no observable, but the eigenvalues specified:

>>> print(tape.operations)
[QubitUnitary(array([[-0.89442719,  0.4472136 ],
      [ 0.4472136 ,  0.89442719]]), wires=['a'])]
>>> print(tape.measurements[0].eigvals())
[0. 5.]
>>> print(tape.measurements[0].obs)
None

map_wires(wire_map)

Returns a copy of the current measurement process with its wires changed according to the given wire map.

Parameters

wire_map (dict) – dictionary containing the old wires as keys and the new wires as values

Returns

new measurement process

Return type

MeasurementProcess

process_density_matrix(density_matrix, wire_order)

Process the given density matrix.

Parameters

• density_matrix (TensorLike) – The density matrix representing the (mixed) quantum state, which may be single or batched. For a single matrix, the shape should be (2^n, 2^n) where n is the number of wires the matrix acts upon. For batched matrices, the shape should be (batch_size, 2^n, 2^n).

• wire_order (Wires) – The wires determining the subspace that the density_matrix acts on. A matrix of dimension \(2^n\) acts on a subspace of \(n\) wires. This parameter specifies the mapping of matrix dimensions to physical qubits, allowing the function to correctly trace out the subsystems not involved in the measurement or operation.

process_state(state, wire_order)

Process the given quantum state.

Parameters

• state (Sequence[complex]) – quantum state with a flat shape. It may also have an optional batch dimension

• wire_order (Wires) – wires determining the subspace that state acts on; a matrix of dimension \(2^n\) acts on a subspace of \(n\) wires

queue(context=<class 'pennylane.queuing.QueuingManager'>)

Append the measurement process to an annotated queue.

shape(shots=None, num_device_wires=0)

Calculate the shape of the result object tensor.

Parameters

• shots (Optional[int]) – the number of shots used execute the circuit. None indicates an analytic simulation. Shot vectors are handled by calling this method multiple times.

• num_device_wires (int) – The number of wires that will be used if the measurement is broadcasted across all available wires (len(mp.wires) == 0). If the device itself doesn’t provide a number of wires, the number of tape wires will be provided here instead:

Returns

An arbitrary length tuple of ints. May be an empty tuple.

Return type

tuple[int,…]

>>> qml.probs(wires=(0,1)).shape()
(4,)
>>> qml.sample(wires=(0,1)).shape(shots=50)
(50, 2)
>>> qml.state().shape(num_device_wires=4)
(16,)
>>> qml.expval(qml.Z(0)).shape()
()

simplify()

Reduce the depth of the observable to the minimum.

Returns

A measurement process with a simplified observable.

Return type

MeasurementProcess

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