qiskit.aqua.operators.legacy.TPBGroupedWeightedPauliOperator¶

class TPBGroupedWeightedPauliOperator(paulis, basis, z2_symmetries=None, atol=1e-12, name=None, grouping_func=None, kwargs=None)[source]¶

TPB Grouped Weighted Pauli Operator

Paramètres

paulis (list[[complex, Pauli]]) – the list of weighted Paulis, where a weighted pauli is composed of a length-2 list and the first item is the weight and the second item is the Pauli object.
basis (list[tuple(object, [int])], optional) – the grouping basis, each element is a tuple composed of the basis and the indices to paulis which are belonged to that group. e.g., if tpb basis is used, the object will be a pauli. By default, the group is equal to non-grouping, each pauli is its own basis.
z2_symmetries (Z2Symmetries) – recording the z2 symmetries info
atol (float, optional) – the threshold used in truncating paulis
name (str, optional) – the name of operator.
grouping_func (Callable, optional) – Function to group paulis
kwargs (dict) – Optional parameters for grouping function call

__init__(paulis, basis, z2_symmetries=None, atol=1e-12, name=None, grouping_func=None, kwargs=None)[source]¶

Paramètres

paulis (list[[complex, Pauli]]) – the list of weighted Paulis, where a weighted pauli is composed of a length-2 list and the first item is the weight and the second item is the Pauli object.
basis (list[tuple(object, [int])], optional) – the grouping basis, each element is a tuple composed of the basis and the indices to paulis which are belonged to that group. e.g., if tpb basis is used, the object will be a pauli. By default, the group is equal to non-grouping, each pauli is its own basis.
z2_symmetries (Z2Symmetries) – recording the z2 symmetries info
atol (float, optional) – the threshold used in truncating paulis
name (str, optional) – the name of operator.
grouping_func (Callable, optional) – Function to group paulis
kwargs (dict) – Optional parameters for grouping function call

Methods

`__init__`(paulis, basis[, z2_symmetries, …])	param paulis the list of weighted Paulis, where a weighted pauli is
`add`(other[, copy])	Perform self + other.
`anticommute_with`(other)	Anti commutes with
`chop`([threshold, copy])	Eliminate the real and imagine part of weight in each pauli by threshold.
`commute_with`(other)	Commutes with
`construct_evaluation_circuit`(wave_function, …)	Construct the circuits for evaluation, which calculating the expectation <psi\|H\|psi>.
`copy`()	Get a copy of self
`evaluate_with_result`(result, statevector_mode)	This method can be only used with the circuits generated by the `construct_evaluation_circuit()` method with the same circuit_name_prefix name since the circuit names are tied to some meanings.
`evaluate_with_statevector`(quantum_state)	param quantum_state a quantum state.
`evaluation_instruction`(statevector_mode[, …])	param statevector_mode will it be run on statevector simulator or not
`evolve`([state_in, evo_time, …])	Carry out the eoh evolution for the operator under supplied specifications.
`evolve_instruction`([evo_time, …])	Carry out the eoh evolution for the operator under supplied specifications.
`from_dict`(dictionary[, before_04])	Load paulis from a dictionary to construct an Operator.
`from_file`(file_name[, before_04])	Load paulis in a file to construct an Operator.
`from_list`(paulis[, weights, name])	Create a WeightedPauliOperator via a pair of list.
`is_empty`()	Check Operator is empty or not.
`multiply`(other)	Perform self * other.
`print_details`()	Print out the operator in details.
`reorder_paulis`()	Reorder the paulis based on the basis and return the reordered paulis.
`rounding`(decimals[, copy])	Rounding the weight.
`simplify`([copy])	Merge the paulis whose bases are identical and the pauli with zero coefficient would be removed.
`sorted_grouping`(weighted_pauli_operator[, …])	Largest-Degree First Coloring for grouping paulis.
`sub`(other[, copy])	Perform self - other.
`to_dict`()	Save operator to a dict in pauli representation.
`to_file`(file_name)	Save operator to a file in pauli representation.
`to_opflow`([reverse_endianness])	to op flow
`unsorted_grouping`(weighted_pauli_operator)	Greedy and unsorted grouping paulis.

Attributes

`atol`	get atol
`basis`	returns basis
`grouping_func`	returns grouping function
`kwargs`	returns kwargs
`name`	returns name
`num_groups`	returns number of groups
`num_qubits`	Number of qubits required for the operator.
`paulis`	get paulis
`z2_symmetries`	returns z2 symmetries

add(other, copy=False)¶

Perform self + other.

Paramètres

other (WeightedPauliOperator) – to-be-combined operator
copy (bool) – working on a copy or self, if False, the results are written back to self.

Renvoie

operator

Type renvoyé

WeightedPauliOperator

anticommute_with(other)¶: Anti commutes with

property atol¶: get atol

property basis¶: returns basis

chop(threshold=None, copy=False)¶

Eliminate the real and imagine part of weight in each pauli by threshold. If pauli’s weight is less then threshold in both real and imaginary parts, the pauli is removed.

Note

If weight is real-only, the imaginary part is skipped.

Paramètres

threshold (float) – the threshold is used to remove the paulis
copy (bool) – chop on a copy or self

Renvoie

if copy is True, the original operator is unchanged; otherwise,: the operator is mutated.

Type renvoyé

WeightedPauliOperator

commute_with(other)¶: Commutes with

construct_evaluation_circuit(wave_function, statevector_mode, qr=None, cr=None, use_simulator_snapshot_mode=False, circuit_name_prefix='')¶

Construct the circuits for evaluation, which calculating the expectation <psi|H|psi>.

At statevector mode: to simplify the computation, we do not build the whole circuit for <psi|H|psi>, instead of that we construct an individual circuit <psi|, and a bundle circuit for H|psi>

Paramètres

wave_function (QuantumCircuit) – the quantum circuit.
statevector_mode (bool) – indicate which type of simulator are going to use.
qr (QuantumRegister, optional) – the quantum register associated with the input_circuit
cr (ClassicalRegister, optional) – the classical register associated with the input_circuit
use_simulator_snapshot_mode (bool, optional) – if aer_provider is used, we can do faster evaluation for pauli mode on statevector simulation
circuit_name_prefix (str, optional) – a prefix of circuit name

Renvoie

a list of quantum circuits and each circuit with a unique name:: circuit_name_prefix + Pauli string

Type renvoyé

list[QuantumCircuit]

Lève

AquaError – if Operator is empty
AquaError – if quantum register is not provided explicitly and cannot find quantum register with q as the name
AquaError – The provided qr is not in the wave_function

copy()¶: Get a copy of self

evaluate_with_result(result, statevector_mode, use_simulator_snapshot_mode=False, circuit_name_prefix='')¶

This method can be only used with the circuits generated by the construct_evaluation_circuit() method with the same circuit_name_prefix name since the circuit names are tied to some meanings.

Calculate the evaluated value with the measurement results.

Paramètres

result (qiskit.Result) – the result from the backend.
statevector_mode (bool) – indicate which type of simulator are used.
use_simulator_snapshot_mode (bool) – if aer_provider is used, we can do faster evaluation for pauli mode on statevector simulation
circuit_name_prefix (str) – a prefix of circuit name

Renvoie

the mean value float: the standard deviation

Type renvoyé

float

Lève

AquaError – if Operator is empty

evaluate_with_statevector(quantum_state)¶

Paramètres: quantum_state (numpy.ndarray) – a quantum state.
Renvoie: the mean value float: the standard deviation
Type renvoyé: float
Lève: AquaError – if Operator is empty

evaluation_instruction(statevector_mode, use_simulator_snapshot_mode=False)¶

Paramètres

statevector_mode (bool) – will it be run on statevector simulator or not
use_simulator_snapshot_mode (bool) – will it use qiskit aer simulator operator mode

Renvoie

Pauli-instruction pair.

Type renvoyé

dict

Lève

AquaError – if Operator is empty
MissingOptionalLibraryError – qiskit-aer not installed

evolve(state_in=None, evo_time=0, num_time_slices=1, quantum_registers=None, expansion_mode='trotter', expansion_order=1)¶

Carry out the eoh evolution for the operator under supplied specifications.

Paramètres

state_in (QuantumCircuit) – a circuit describes the input state
evo_time (Union(complex, float, Parameter, ParameterExpression)) – The evolution time
num_time_slices (int) – The number of time slices for the expansion
quantum_registers (QuantumRegister) – The QuantumRegister to build the QuantumCircuit off of
expansion_mode (str) – The mode under which the expansion is to be done. Currently support “trotter”, which follows the expansion as discussed in http://science.sciencemag.org/content/273/5278/1073, and “suzuki”, which corresponds to the discussion in https://arxiv.org/pdf/quant-ph/0508139.pdf
expansion_order (int) – The order for suzuki expansion

Renvoie

The constructed circuit.

Type renvoyé

QuantumCircuit

Lève

AquaError – quantum_registers must be in the provided state_in circuit
AquaError – if operator is empty

evolve_instruction(evo_time=0, num_time_slices=1, expansion_mode='trotter', expansion_order=1)¶

Carry out the eoh evolution for the operator under supplied specifications.

Paramètres

evo_time (Union(complex, float, Parameter, ParameterExpression)) – The evolution time
num_time_slices (int) – The number of time slices for the expansion
expansion_mode (str) – The mode under which the expansion is to be done. Currently support “trotter”, which follows the expansion as discussed in http://science.sciencemag.org/content/273/5278/1073, and “suzuki”, which corresponds to the discussion in https://arxiv.org/pdf/quant-ph/0508139.pdf
expansion_order (int) – The order for suzuki expansion

Renvoie

The constructed QuantumCircuit.

Type renvoyé

QuantumCircuit

Lève

ValueError – Number of time slices should be a non-negative integer
NotImplementedError – expansion mode not supported
AquaError – if operator is empty

classmethod from_dict(dictionary, before_04=False)¶

Load paulis from a dictionary to construct an Operator. The dictionary must comprise the key “paulis” having a value which is an array of pauli dicts. Each dict in this array must be represented by label and coeff (real and imag) such as in the following example:

{'paulis':
    [
        {'label': 'IIII',
         'coeff': {'real': -0.33562957575267038, 'imag': 0.0}},
        {'label': 'ZIII',
         'coeff': {'real': 0.28220597164664896, 'imag': 0.0}},
         ...
    ]
 }

Paramètres

dictionary (dict) – dictionary, which contains a list of Paulis and coefficients.
before_04 (bool) – support the format before Aqua 0.4.

Renvoie

the operator created from the input dictionary.

Type renvoyé

WeightedPauliOperator

Lève

AquaError – Invalid dictionary

classmethod from_file(file_name, before_04=False)¶

Load paulis in a file to construct an Operator.

Paramètres

file_name (str) – path to the file, which contains a list of Paulis and coefficients.
before_04 (bool) – support the format before Aqua 0.4.

Renvoie

the loaded operator.

Type renvoyé

WeightedPauliOperator

classmethod from_list(paulis, weights=None, name=None)¶

Create a WeightedPauliOperator via a pair of list.

Paramètres

paulis (list[Pauli]) – the list of Paulis
weights (list[complex], optional) – the list of weights, if it is None, all weights are 1.
name (str, optional) – name of the operator.

Renvoie

operator

Type renvoyé

WeightedPauliOperator

Lève

ValueError – The length of weights and paulis must be the same

property grouping_func¶: returns grouping function

is_empty()¶

Check Operator is empty or not.

Renvoie: True if empty, False otherwise
Type renvoyé: bool

property kwargs¶: returns kwargs

multiply(other)[source]¶

Perform self * other.

Note: Grouping of the new operator, will be as per self’s grouping.

Paramètres: other (TPBGroupedWeightedPauliOperator) – an operator
Renvoie: the multiplied operator
Type renvoyé: TPBGroupedWeightedPauliOperator

property name¶: returns name

property num_groups¶: returns number of groups

property num_qubits¶

Number of qubits required for the operator.

Renvoie: number of qubits
Type renvoyé: int

property paulis¶: get paulis

print_details()[source]¶

Print out the operator in details.

Renvoie: a formatted string describes the operator.
Type renvoyé: str

reorder_paulis()¶

Reorder the paulis based on the basis and return the reordered paulis.

Type renvoyé: List[List[Union[complex, Pauli]]]
Renvoie: the ordered paulis based on the basis.

rounding(decimals, copy=False)¶

Rounding the weight.

Paramètres

decimals (int) – rounding the weight to the decimals.
copy (bool) – chop on a copy or self

Renvoie

operator

Type renvoyé

WeightedPauliOperator

simplify(copy=False)¶

Merge the paulis whose bases are identical and the pauli with zero coefficient would be removed.

Note

This behavior of this method is slightly changed, it will remove the paulis whose weights are zero.

Paramètres: copy (bool) – simplify on a copy or self
Renvoie: the simplified operator
Type renvoyé: WeightedPauliOperator

classmethod sorted_grouping(weighted_pauli_operator, method='largest-degree')[source]¶

Largest-Degree First Coloring for grouping paulis.

Paramètres

weighted_pauli_operator (WeightedPauliOperator) – the to-be-grouped weighted pauli operator.
method (str) – only largest-degree is available now.

Renvoie

operator

Type renvoyé

TPBGroupedWeightedPauliOperator

sub(other, copy=False)¶

Perform self - other.

Paramètres

other (WeightedPauliOperator) – to-be-combined operator
copy (bool) – working on a copy or self, if False, the results are written back to self.

Renvoie

operator

Type renvoyé

WeightedPauliOperator

to_dict()¶

Save operator to a dict in pauli representation.

Renvoie: a dictionary contains an operator with pauli representation.
Type renvoyé: dict

to_file(file_name)¶

Save operator to a file in pauli representation.

Paramètres: file_name (str) – path to the file

to_opflow(reverse_endianness=False)¶: to op flow

classmethod unsorted_grouping(weighted_pauli_operator)[source]¶

Greedy and unsorted grouping paulis.

Paramètres: weighted_pauli_operator (WeightedPauliOperator) – the to-be-grouped weighted pauli operator.
Renvoie: operator
Type renvoyé: TPBGroupedWeightedPauliOperator

property z2_symmetries¶: returns z2 symmetries