qiskit.aqua.operators.legacy.TPBGroupedWeightedPauliOperator

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

TPB Grouped Weighted Pauli Operator

Parâmetros

• 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)

Parâmetros

• 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.

Parâmetros

• other (WeightedPauliOperator) – to-be-combined operator

• copy (bool) – working on a copy or self, if False, the results are written back to self.

Retorna

operator

Tipo de retorno

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.

Nota

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

Parâmetros

• threshold (float) – the threshold is used to remove the paulis

• copy (bool) – chop on a copy or self

Retorna

if copy is True, the original operator is unchanged; otherwise,

the operator is mutated.

Tipo de retorno

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>

Parâmetros

• 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

Retorna

a list of quantum circuits and each circuit with a unique name:

circuit_name_prefix + Pauli string

Tipo de retorno

list[QuantumCircuit]

Levanta

• 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.

Parâmetros

• 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

Retorna

the mean value float: the standard deviation

Tipo de retorno

float

Levanta

AquaError – if Operator is empty

evaluate_with_statevector(quantum_state)

Parâmetros

quantum_state (numpy.ndarray) – a quantum state.

Retorna

the mean value float: the standard deviation

Tipo de retorno

float

Levanta

AquaError – if Operator is empty

evaluation_instruction(statevector_mode, use_simulator_snapshot_mode=False)

Parâmetros

• 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

Retorna

Pauli-instruction pair.

Tipo de retorno

dict

Levanta

• 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.

Parâmetros

• 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

Retorna

The constructed circuit.

Tipo de retorno

QuantumCircuit

Levanta

• 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.

Parâmetros

• 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

Retorna

The constructed QuantumCircuit.

Tipo de retorno

QuantumCircuit

Levanta

• 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}},
         ...
    ]
 }

Parâmetros

• dictionary (dict) – dictionary, which contains a list of Paulis and coefficients.

• before_04 (bool) – support the format before Aqua 0.4.

Retorna

the operator created from the input dictionary.

Tipo de retorno

WeightedPauliOperator

Levanta

AquaError – Invalid dictionary

classmethod from_file(file_name, before_04=False)

Load paulis in a file to construct an Operator.

Parâmetros

• 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.

Retorna

the loaded operator.

Tipo de retorno

WeightedPauliOperator

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

Create a WeightedPauliOperator via a pair of list.

Parâmetros

• 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.

Retorna

operator

Tipo de retorno

WeightedPauliOperator

Levanta

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.

Retorna

True if empty, False otherwise

Tipo de retorno

bool

property kwargs

returns kwargs

multiply(other)

Perform self * other.

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

Parâmetros

other (TPBGroupedWeightedPauliOperator) – an operator

Retorna

the multiplied operator

Tipo de retorno

TPBGroupedWeightedPauliOperator

property name

returns name

property num_groups

returns number of groups

property num_qubits

Number of qubits required for the operator.

Retorna

number of qubits

Tipo de retorno

int

property paulis

get paulis

print_details()

Print out the operator in details.

Retorna

a formatted string describes the operator.

Tipo de retorno

str

reorder_paulis()

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

Tipo de retorno

List[List[Union[complex, Pauli]]]

Retorna

the ordered paulis based on the basis.

rounding(decimals, copy=False)

Rounding the weight.

Parâmetros

• decimals (int) – rounding the weight to the decimals.

• copy (bool) – chop on a copy or self

Retorna

operator

Tipo de retorno

WeightedPauliOperator

simplify(copy=False)

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

Nota

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

Parâmetros

copy (bool) – simplify on a copy or self

Retorna

the simplified operator

Tipo de retorno

WeightedPauliOperator

classmethod sorted_grouping(weighted_pauli_operator, method='largest-degree')

Largest-Degree First Coloring for grouping paulis.

Parâmetros

• weighted_pauli_operator (WeightedPauliOperator) – the to-be-grouped weighted pauli operator.

• method (str) – only largest-degree is available now.

Retorna

operator

Tipo de retorno

TPBGroupedWeightedPauliOperator

sub(other, copy=False)

Perform self - other.

Parâmetros

• other (WeightedPauliOperator) – to-be-combined operator

• copy (bool) – working on a copy or self, if False, the results are written back to self.

Retorna

operator

Tipo de retorno

WeightedPauliOperator

to_dict()

Save operator to a dict in pauli representation.

Retorna

a dictionary contains an operator with pauli representation.

Tipo de retorno

dict

to_file(file_name)

Save operator to a file in pauli representation.

Parâmetros

file_name (str) – path to the file

to_opflow(reverse_endianness=False)

to op flow

classmethod unsorted_grouping(weighted_pauli_operator)

Greedy and unsorted grouping paulis.

Parâmetros

weighted_pauli_operator (WeightedPauliOperator) – the to-be-grouped weighted pauli operator.

Retorna

operator

Tipo de retorno

TPBGroupedWeightedPauliOperator

property z2_symmetries

returns z2 symmetries