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ScalarOp

class ScalarOp(dims=None, coeff=1)

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Bases: qiskit.quantum_info.operators.linear_op.LinearOp

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.


Methods

adjoint

ScalarOp.adjoint()

Return the adjoint of the Operator.

compose

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

Return the operator composition with another ScalarOp.

Parameters

  • other (ScalarOp) – a ScalarOp object.
  • qargs (list or None) – Optional, 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 composed ScalarOp.

Return type

ScalarOp

Raises

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

Note

Composition (&) by default is defined as left matrix multiplication for matrix operators, while @ (equivalent to dot()) is defined as right matrix multiplication. That is that A & B == A.compose(B) is equivalent to B @ A == B.dot(A) when A and B are of the same type.

Setting the front=True kwarg changes this to right matrix multiplication and is equivalent to the dot() method A.dot(B) == A.compose(B, front=True).

conjugate

ScalarOp.conjugate()

Return the conjugate of the ScalarOp.

copy

ScalarOp.copy()

Make a deep copy of current operator.

dot

ScalarOp.dot(other, qargs=None)

Return the right multiplied operator self * other.

Parameters

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

Returns

The right matrix multiplied Operator.

Return type

Operator

Note

The dot product can be obtained using the @ binary operator. Hence a.dot(b) is equivalent to a @ b.

expand

ScalarOp.expand(other)

Return the reverse-order tensor product with another ScalarOp.

Parameters

other (ScalarOp) – a ScalarOp object.

Returns

the tensor product bab \otimes a, where aa

is the current ScalarOp, and bb is the other ScalarOp.

Return type

ScalarOp

input_dims

ScalarOp.input_dims(qargs=None)

Return tuple of input dimension for specified subsystems.

is_unitary

ScalarOp.is_unitary(atol=None, rtol=None)

Return True if operator is a unitary matrix.

output_dims

ScalarOp.output_dims(qargs=None)

Return tuple of output dimension for specified subsystems.

power

ScalarOp.power(n)

Return the power of the ScalarOp.

Parameters

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

Returns

the coeff ** n ScalarOp.

Return type

ScalarOp

reshape

ScalarOp.reshape(input_dims=None, output_dims=None, num_qubits=None)

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

Parameters

  • 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].
  • num_qubits (None or int) – reshape to an N-qubit operator [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.

tensor

ScalarOp.tensor(other)

Return the tensor product with another ScalarOp.

Parameters

other (ScalarOp) – a ScalarOp object.

Returns

the tensor product aba \otimes b, where aa

is the current ScalarOp, and bb is the other ScalarOp.

Return type

ScalarOp

Note

The tensor product can be obtained using the ^ binary operator. Hence a.tensor(b) is equivalent to a ^ b.

to_matrix

ScalarOp.to_matrix()

Convert to a Numpy matrix.

to_operator

ScalarOp.to_operator()

Convert to an Operator object.

transpose

ScalarOp.transpose()

Return the transpose of the ScalarOp.


Attributes

atol

Default value: 1e-08

coeff

Return the coefficient

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

Default value: 1e-05

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