qiskit.quantum_info.SparsePauliOp

class SparsePauliOp(data, coeffs=None)

Sparse N-qubit operator in a Pauli basis representation.

This is a sparse representation of an N-qubit matrix Operator in terms of N-qubit PauliTable and complex coefficients.

It can be used for performing operator arithmetic for hundred of qubits if the number of non-zero Pauli basis terms is sufficiently small.

The Pauli basis components are stored as a PauliTable object and can be accessed using the table attribute. The coefficients are stored as a complex Numpy array vector and can be accessed using the coeffs attribute.

Initialize an operator object.

Parâmetros

• data (PauliTable) – Pauli table of terms.

• coeffs (np.ndarray) – complex coefficients for Pauli terms.

Levanta

QiskitError – If the input data or coeffs are invalid.

__init__(data, coeffs=None)

Initialize an operator object.

Parâmetros

• data (PauliTable) – Pauli table of terms.

• coeffs (np.ndarray) – complex coefficients for Pauli terms.

Levanta

QiskitError – If the input data or coeffs are invalid.

Methods

__init__(data[, coeffs])	Initialize an operator object.
add(other)	Return the linear operator self + other.
adjoint()	Return the adjoint of the operator.
compose(other[, qargs, front])	Return the composition channel self∘other.
conjugate()	Return the conjugate of the operator.
copy()	Make a deep copy of current operator.
dot(other[, qargs])	Return the composition channel self∘other.
expand(other)	Return the tensor product operator other ⊗ self.
from_list(obj)	Construct from a list [(pauli_str, coeffs)]
from_operator(obj[, atol, rtol])	Construct from an Operator objector.
input_dims([qargs])	Return tuple of input dimension for specified subsystems.
is_unitary([atol, rtol])	Return True if operator is a unitary matrix.
label_iter()	Return a label representation iterator.
matrix_iter([sparse])	Return a matrix representation iterator.
multiply(other)	Return the linear operator other * self.
output_dims([qargs])	Return tuple of output dimension for specified subsystems.
power(n)	Return the compose of a operator with itself n times.
reshape([input_dims, output_dims])	Return a shallow copy with reshaped input and output subsystem dimensions.
set_atol(value)	Set the class default absolute tolerance parameter for float comparisons.
set_rtol(value)	Set the class default relative tolerance parameter for float comparisons.
simplify([atol, rtol])	Simplify PauliTable by combining duplicaties and removing zeros.
subtract(other)	Return the linear operator self - other.
tensor(other)	Return the tensor product operator self ⊗ other.
to_list([array])	Convert to a list Pauli string labels and coefficients.
to_matrix([sparse])	Convert to a dense or sparse matrix.
to_operator()	Convert to a matrix Operator object
transpose()	Return the transpose of the operator.

Attributes

atol	The default absolute tolerance parameter for float comparisons.
coeffs	Return the Pauli coefficients.
dim	Return tuple (input_shape, output_shape).
num_qubits	Return the number of qubits if a N-qubit operator or None otherwise.
qargs	Return the qargs for the operator.
rtol	The relative tolerance parameter for float comparisons.
size	The number of Pauli of Pauli terms in the operator.
table	Return the the PauliTable.

add(other)

Return the linear operator self + other.

DEPRECATED: use operator + other instead.

Parâmetros

other (BaseOperator) – an operator object.

Retorna

the operator self + other.

Tipo de retorno

BaseOperator

adjoint()

Return the adjoint of the operator.

property atol

The default absolute tolerance parameter for float comparisons.

property coeffs

Return the Pauli coefficients.

compose(other, qargs=None, front=False)

Return the composition channel self∘other.

Parâmetros

• other (SparsePauliOp) – an operator object.

• qargs (list or None) – a list of subsystem positions to compose other on.

• front (bool or None) – If False compose in standard order other(self(input)) otherwise compose in reverse order self(other(input)) [default: False]

Retorna

The composed operator.

Tipo de retorno

SparsePauliOp

Levanta

• QiskitError – if other cannot be converted to an Operator or has

• incompatible dimensions. –

conjugate()

Return the conjugate of the operator.

copy()

Make a deep copy of current operator.

property dim

Return tuple (input_shape, output_shape).

dot(other, qargs=None)

Return the composition channel self∘other.

Parâmetros

• other (SparsePauliOp) – an operator object.

• qargs (list or None) – a list of subsystem positions to compose other on.

Retorna

The composed operator.

Tipo de retorno

SparsePauliOp

Levanta

• QiskitError – if other cannot be converted to an Operator or has

• incompatible dimensions. –

expand(other)

Return the tensor product operator other ⊗ self.

Parâmetros

other (SparsePauliOp) – an operator object.

Retorna

the tensor product operator other ⊗ self.

Tipo de retorno

SparsePauliOp

Levanta

QiskitError – if other cannot be converted to a SparsePauliOp operator.

static from_list(obj)

Construct from a list [(pauli_str, coeffs)]

static from_operator(obj, atol=None, rtol=None)

Construct from an Operator objector.

Note that the cost of this contruction is exponential as it involves taking inner products with every element of the N-qubit Pauli basis.

Parâmetros

• obj (Operator) – an N-qubit operator.

• atol (float) – Optional. Absolute tolerance for checking if coefficients are zero (Default: 1e-8).

• rtol (float) – Optinoal. relative tolerance for checking if coefficients are zero (Default: 1e-5).

Retorna

the SparsePauliOp representation of the operator.

Tipo de retorno

SparsePauliOp

Levanta

QiskitError – if the input operator is not an N-qubit operator.

input_dims(qargs=None)

Return tuple of input dimension for specified subsystems.

is_unitary(atol=None, rtol=None)

Return True if operator is a unitary matrix.

Parâmetros

• atol (float) – Optional. Absolute tolerance for checking if coefficients are zero (Default: 1e-8).

• rtol (float) – Optinoal. relative tolerance for checking if coefficients are zero (Default: 1e-5).

Retorna

True if the operator is unitary, False otherwise.

Tipo de retorno

bool

label_iter()

Return a label representation iterator.

This is a lazy iterator that converts each term in the SparsePauliOp into a tuple (label, coeff). To convert the entire table to labels use the to_labels() method.

Retorna

label iterator object for the PauliTable.

Tipo de retorno

LabelIterator

matrix_iter(sparse=False)

Return a matrix representation iterator.

This is a lazy iterator that converts each term in the SparsePauliOp into a matrix as it is used. To convert to a single matrix use the to_matrix() method.

Parâmetros

sparse (bool) – optionally return sparse CSR matrices if True, otherwise return Numpy array matrices (Default: False)

Retorna

matrix iterator object for the PauliTable.

Tipo de retorno

MatrixIterator

multiply(other)

Return the linear operator other * self.

DEPRECATED: use other * operator instead.

Parâmetros

other (complex) – a complex number.

Retorna

the linear operator other * self.

Tipo de retorno

BaseOperator

Levanta

NotImplementedError – if subclass does not support multiplication.

property num_qubits

Return the number of qubits if a N-qubit operator or None otherwise.

output_dims(qargs=None)

Return tuple of output dimension for specified subsystems.

power(n)

Return the compose of a operator with itself n times.

Parâmetros

n (int) – the number of times to compose with self (n>0).

Retorna

the n-times composed operator.

Tipo de retorno

BaseOperator

Levanta

QiskitError – if the input and output dimensions of the operator are not equal, or the power is not a positive integer.

property qargs

Return the qargs for the operator.

reshape(input_dims=None, output_dims=None)

Return a shallow copy with reshaped input and output subsystem dimensions.

Arg:

input_dims (None or tuple): new subsystem input dimensions.

If None the original input dims will be preserved [Default: None].

output_dims (None or tuple): new subsystem output dimensions.

If None the original output dims will be preserved [Default: None].

Retorna

returns self with reshaped input and output dimensions.

Tipo de retorno

BaseOperator

Levanta

QiskitError – if combined size of all subsystem input dimension or subsystem output dimensions is not constant.

property rtol

The relative tolerance parameter for float comparisons.

classmethod set_atol(value)

Set the class default absolute tolerance parameter for float comparisons.

DEPRECATED: use operator.atol = value instead

classmethod set_rtol(value)

Set the class default relative tolerance parameter for float comparisons.

DEPRECATED: use operator.rtol = value instead

simplify(atol=None, rtol=None)

Simplify PauliTable by combining duplicaties and removing zeros.

Parâmetros

• atol (float) – Optional. Absolute tolerance for checking if coefficients are zero (Default: 1e-8).

• rtol (float) – Optinoal. relative tolerance for checking if coefficients are zero (Default: 1e-5).

Retorna

the simplified SparsePauliOp operator.

Tipo de retorno

SparsePauliOp

property size

The number of Pauli of Pauli terms in the operator.

subtract(other)

Return the linear operator self - other.

DEPRECATED: use operator - other instead.

Parâmetros

other (BaseOperator) – an operator object.

Retorna

the operator self - other.

Tipo de retorno

BaseOperator

property table

Return the the PauliTable.

tensor(other)

Return the tensor product operator self ⊗ other.

Parâmetros

other (SparsePauliOp) – a operator subclass object.

Retorna

the tensor product operator self ⊗ other.

Tipo de retorno

SparsePauliOp

Levanta

QiskitError – if other cannot be converted to a SparsePauliOp operator.

to_list(array=False)

Convert to a list Pauli string labels and coefficients.

For operators with a lot of terms converting using the array=True kwarg will be more efficient since it allocates memory for the full Numpy array of labels in advance.

Parâmetros

array (bool) – return a Numpy array if True, otherwise return a list (Default: False).

Retorna

List of pairs (label, coeff) for rows of the PauliTable.

Tipo de retorno

list or array

to_matrix(sparse=False)

Convert to a dense or sparse matrix.

Parâmetros

sparse (bool) – if True return a sparse CSR matrix, otherwise return dense Numpy array (Default: False).

Retorna

A dense matrix if sparse=False. csr_matrix: A sparse matrix in CSR format if sparse=True.

Tipo de retorno

array

to_operator()

Convert to a matrix Operator object

transpose()

Return the transpose of the operator.