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# Operator¶

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

Bases : LinearOp

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.

Paramètres
• data (QuantumCircuit or Operation 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]

Lève

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

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

 adjoint Return the adjoint of the Operator. compose Return the operator composition with another Operator. conjugate Return the conjugate of the Operator. copy Make a deep copy of current operator. dot Return the right multiplied operator self * other. equiv Return True if operators are equivalent up to global phase. expand Return the reverse-order tensor product with another Operator. from_circuit Create a new Operator object from a QuantumCircuit from_label Return a tensor product of single-qubit operators. input_dims Return tuple of input dimension for specified subsystems. is_unitary Return True if operator is a unitary matrix. output_dims Return tuple of output dimension for specified subsystems. power Return the matrix power of the operator. reshape Return a shallow copy with reshaped input and output subsystem dimensions. reverse_qargs Return an Operator with reversed subsystem ordering. tensor Return the tensor product with another Operator. to_instruction Convert to a UnitaryGate instruction. to_matrix Convert operator to NumPy matrix. to_operator Convert operator to matrix operator class transpose Return the transpose of the Operator.

Attributes

atol = 1e-08
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 = 1e-05
settings

Return operator settings.