Skip to main contentIBM Quantum Documentation
This page is from an old version of Qiskit SDK Go to the latest version
Important

IBM Quantum Platform is moving and this version will be sunset on July 1. To get started on the new platform, read the migration guide.

qiskit.quantum_info.ScalarOp

class ScalarOp(dims, coeff=1)

GitHub

Scalar identity operator class.

This is a symbolic representation of an scalar identity operator on multiple subsystems. It may be used to initialize a symbolic scalar multiplication of an identity and then be implicitly converted to other kinds of operator subclasses by using the compose(), dot(), tensor(), expand() methods.

Initialize an operator object.

Parameters

  • dims (int or tuple) – subsystem dimensions.
  • coeff (Number) – scalar coefficient for the identity operator (Default: 1).

Raises

QiskitError – If the optional coefficient is invalid.

__init__

__init__(dims, coeff=1)

Initialize an operator object.

Parameters

  • dims (int or tuple) – subsystem dimensions.
  • coeff (Number) – scalar coefficient for the identity operator (Default: 1).

Raises

QiskitError – If the optional coefficient is invalid.


Methods

__init__(dims[, coeff])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.
expand(other)Return the tensor product operator other ⊗ self.
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 power of the ScalarOp.
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_matrix()Convert to a Numpy matrix.
to_operator()Convert to an Operator object.
transpose()Return the transpose of the operator.

Attributes

atolThe default absolute tolerance parameter for float comparisons.
coeffReturn the coefficient
dimReturn tuple (input_shape, output_shape).
num_qubitsReturn the number of qubits if a N-qubit operator or None otherwise.
qargsReturn the qargs for the operator.
rtolThe relative tolerance parameter for float comparisons.

add

add(other)

Return the linear operator self + other.

DEPRECATED: use operator + other instead.

Parameters

other (BaseOperator) – an operator object.

Returns

the operator self + other.

Return type

BaseOperator

adjoint

adjoint()

Return the adjoint of the operator.

atol

The default absolute tolerance parameter for float comparisons.

coeff

Return the coefficient

compose

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

Return the composed operator.

Parameters

  • other (BaseOperator) – 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].

Returns

The operator self @ other.

Return type

BaseOperator

Raises

QiskitError – if other has incompatible dimensions for specified subsystems.

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

conjugate()

Return the conjugate of the operator.

copy

copy()

Make a deep copy of current operator.

dim

Return tuple (input_shape, output_shape).

dot

dot(other, qargs=None)

Return the right multiplied operator self * other.

Parameters

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

Returns

The operator self * other.

Return type

BaseOperator

Raises

QiskitError – if other cannot be converted to an operator, or has incompatible dimensions for specified subsystems.

expand

expand(other)

Return the tensor product operator other ⊗ self.

Parameters

other (BaseOperator) – an operator object.

Returns

if other is an ScalarOp. BaseOperator: if other is not an ScalarOp.

Return type

ScalarOp

input_dims

input_dims(qargs=None)

Return tuple of input dimension for specified subsystems.

is_unitary

is_unitary(atol=None, rtol=None)

Return True if operator is a unitary matrix.

multiply

multiply(other)

Return the linear operator other * self.

DEPRECATED: use other * operator instead.

Parameters

other (complex) – a complex number.

Returns

the linear operator other * self.

Return type

BaseOperator

Raises

NotImplementedError – if subclass does not support multiplication.

num_qubits

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

output_dims

output_dims(qargs=None)

Return tuple of output dimension for specified subsystems.

power

power(n)

Return the power of the ScalarOp.

Parameters

n (Number) – the exponent for the scalar op.

Returns

the coeff ** n ScalarOp.

Return type

ScalarOp

Raises

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

qargs

Return the qargs for the operator.

reshape

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].

Returns

returns self with reshaped input and output dimensions.

Return type

BaseOperator

Raises

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

rtol

The relative tolerance parameter for float comparisons.

set_atol

classmethod set_atol(value)

Set the class default absolute tolerance parameter for float comparisons.

DEPRECATED: use operator.atol = value instead

set_rtol

classmethod set_rtol(value)

Set the class default relative tolerance parameter for float comparisons.

DEPRECATED: use operator.rtol = value instead

subtract

subtract(other)

Return the linear operator self - other.

DEPRECATED: use operator - other instead.

Parameters

other (BaseOperator) – an operator object.

Returns

the operator self - other.

Return type

BaseOperator

tensor

tensor(other)

Return the tensor product operator self ⊗ other.

Parameters

other (BaseOperator) – an operator object.

Returns

if other is an ScalarOp. BaseOperator: if other is not an ScalarOp.

Return type

ScalarOp

to_matrix

to_matrix()

Convert to a Numpy matrix.

to_operator

to_operator()

Convert to an Operator object.

transpose

transpose()

Return the transpose of the operator.

Was this page helpful?
Report a bug or request content on GitHub.