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qiskit.quantum_info.Operator

class Operator(data, input_dims=None, output_dims=None)[소스]

Matrix operator class

This represents a matrix operator \(M\) that will evolve() a Statevector \(|\psi\rangle\) by matrix-vector multiplication

\[|\psi\rangle \mapsto M|\psi\rangle,\]

and will evolve() a DensityMatrix \(\rho\) by left and right multiplication

\[\rho \mapsto M \rho M^\dagger.\]

Initialize an operator object.

매개변수
  • (QuantumCircuit or (data) – Instruction or BaseOperator or matrix): data to initialize operator.

  • input_dims (tuple) – the input subsystem dimensions. [Default: None]

  • output_dims (tuple) – the output subsystem dimensions. [Default: None]

예외

QiskitError – if input data cannot be initialized as an operator.

Additional Information:

If the input or output dimensions are None, they will be automatically determined from the input data. If the input data is a Numpy array of shape (2**N, 2**N) qubit systems will be used. If the input operator is not an N-qubit operator, it will assign a single subsystem with dimension specified by the shape of the input.

__init__(data, input_dims=None, output_dims=None)[소스]

Initialize an operator object.

매개변수
  • (QuantumCircuit or (data) – Instruction or BaseOperator or matrix): data to initialize operator.

  • input_dims (tuple) – the input subsystem dimensions. [Default: None]

  • output_dims (tuple) – the output subsystem dimensions. [Default: None]

예외

QiskitError – if input data cannot be initialized as an operator.

Additional Information:

If the input or output dimensions are None, they will be automatically determined from the input data. If the input data is a Numpy array of shape (2**N, 2**N) qubit systems will be used. If the input operator is not an N-qubit operator, it will assign a single subsystem with dimension specified by the shape of the input.

Methods

__init__(data[, input_dims, output_dims])

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 composed operator.

conjugate()

Return the conjugate of the operator.

copy()

Make a deep copy of current operator.

dot(other[, qargs])

Return the right multiplied operator self * other.

equiv(other[, rtol, atol])

Return True if operators are equivalent up to global phase.

expand(other)

Return the tensor product operator other ⊗ self.

from_label(label)

Return a tensor product of single-qubit operators.

input_dims([qargs])

Return tuple of input dimension for specified subsystems.

is_unitary([atol, rtol])

Return True if operator is a unitary matrix.

multiply(other)

Return the linear operator other * self.

output_dims([qargs])

Return tuple of output dimension for specified subsystems.

power(n)

Return the matrix power of the operator.

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.

subtract(other)

Return the linear operator self - other.

tensor(other)

Return the tensor product operator self ⊗ other.

to_instruction()

Convert to a UnitaryGate instruction.

to_operator()

Convert operator to matrix operator class

transpose()

Return the transpose of the operator.

Attributes

atol

The default absolute tolerance parameter for float comparisons.

data

Return data.

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.

add(other)

Return the linear operator self + other.

DEPRECATED: use operator + other instead.

매개변수

other (BaseOperator) – an operator object.

반환값

the operator self + other.

반환 형식

BaseOperator

adjoint()

Return the adjoint of the operator.

property atol

The default absolute tolerance parameter for float comparisons.

compose(other, qargs=None, front=False)[소스]

Return the composed operator.

매개변수
  • other (Operator) – an operator object.

  • qargs (list or None) – a list of subsystem positions to apply other on. If None apply on all subsystems [default: None].

  • front (bool) – If True compose using right operator multiplication, instead of left multiplication [default: False].

반환값

The operator self @ other.

반환 형식

Operator

예외

QiskitError – if operators have incompatible dimensions for composition.

Additional Information:

Composition (@) is defined as left matrix multiplication for matrix operators. That is that A @ B is equal to B * A. Setting front=True returns right matrix multiplication A * B and is equivalent to the dot() method.

conjugate()[소스]

Return the conjugate of the operator.

copy()

Make a deep copy of current operator.

property data

Return data.

property dim

Return tuple (input_shape, output_shape).

dot(other, qargs=None)[소스]

Return the right multiplied operator self * other.

매개변수
  • other (Operator) – an operator object.

  • qargs (list or None) – a list of subsystem positions to apply other on. If None apply on all subsystems [default: None].

반환값

The operator self * other.

반환 형식

Operator

예외

QiskitError – if other cannot be converted to an Operator or has incompatible dimensions.

equiv(other, rtol=None, atol=None)[소스]

Return True if operators are equivalent up to global phase.

매개변수
  • other (Operator) – an operator object.

  • rtol (float) – relative tolerance value for comparison.

  • atol (float) – absolute tolerance value for comparison.

반환값

True if operators are equivalent up to global phase.

반환 형식

bool

expand(other)[소스]

Return the tensor product operator other ⊗ self.

매개변수

other (Operator) – an operator object.

반환값

the tensor product operator other ⊗ self.

반환 형식

Operator

예외

QiskitError – if other cannot be converted to an operator.

classmethod from_label(label)[소스]

Return a tensor product of single-qubit operators.

매개변수

label (string) – single-qubit operator string.

반환값

The N-qubit operator.

반환 형식

Operator

예외

QiskitError – if the label contains invalid characters, or the length of the label is larger than an explicitly specified num_qubits.

Additional Information:

The labels correspond to the single-qubit matrices: 〈I〉: [[1, 0], [0, 1]] 〈X〉: [[0, 1], [1, 0]] 〈Y〉: [[0, -1j], [1j, 0]] 〈Z〉: [[1, 0], [0, -1]] 〈H〉: [[1, 1], [1, -1]] / sqrt(2) 〈S〉: [[1, 0], [0 , 1j]] 〈T〉: [[1, 0], [0, (1+1j) / sqrt(2)]] 〈0〉: [[1, 0], [0, 0]] 〈1〉: [[0, 0], [0, 1]] 〈+〉: [[0.5, 0.5], [0.5 , 0.5]] 〈-〈: [[0.5, -0.5], [-0.5 , 0.5]] 〈r〉: [[0.5, -0.5j], [0.5j , 0.5]] 〈l〉: [[0.5, 0.5j], [-0.5j , 0.5]]

input_dims(qargs=None)

Return tuple of input dimension for specified subsystems.

is_unitary(atol=None, rtol=None)[소스]

Return True if operator is a unitary matrix.

multiply(other)

Return the linear operator other * self.

DEPRECATED: use other * operator instead.

매개변수

other (complex) – a complex number.

반환값

the linear operator other * self.

반환 형식

BaseOperator

예외

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)[소스]

Return the matrix power of the operator.

매개변수

n (int) – the power to raise the matrix to.

반환값

the n-times composed operator.

반환 형식

BaseOperator

예외

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].

반환값

returns self with reshaped input and output dimensions.

반환 형식

BaseOperator

예외

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

subtract(other)

Return the linear operator self - other.

DEPRECATED: use operator - other instead.

매개변수

other (BaseOperator) – an operator object.

반환값

the operator self - other.

반환 형식

BaseOperator

tensor(other)[소스]

Return the tensor product operator self ⊗ other.

매개변수

other (Operator) – a operator subclass object.

반환값

the tensor product operator self ⊗ other.

반환 형식

Operator

예외

QiskitError – if other cannot be converted to an operator.

to_instruction()[소스]

Convert to a UnitaryGate instruction.

to_operator()[소스]

Convert operator to matrix operator class

transpose()[소스]

Return the transpose of the operator.

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