CNOTDihedral

class CNOTDihedral(data, validate=True)

Bases: qiskit.quantum_info.operators.base_operator.BaseOperator

CNOT-dihedral Object Class. The CNOT-dihedral group on num_qubits qubits is generated by the gates CNOT, T and X.

References

1. Shelly Garion and Andrew W. Cross, On the structure of the CNOT-Dihedral group, arXiv:2006.12042 [quant-ph]

2. Andrew W. Cross, Easwar Magesan, Lev S. Bishop, John A. Smolin and Jay M. Gambetta, Scalable randomised benchmarking of non-Clifford gates, npj Quantum Inf 2, 16012 (2016).

Initialize a CNOTDihedral operator object.

Methods

adjoint	Return the conjugate transpose of the CNOTDihedral element
cnot	Apply a CNOT gate to this element.
compose	Return the composed operator.
conjugate	Return the conjugate of the CNOTDihedral element.
copy	Make a deep copy of current operator.
dot	Return the right multiplied operator self * other.
expand	Return the tensor product operator: other tensor self.
flip	Apply X to this element.
from_circuit	Initialize from a QuantumCircuit or Instruction.
input_dims	Return tuple of input dimension for specified subsystems.
is_cnotdihedral	Return True if input is a CNOTDihedral element.
output_dims	Return tuple of output dimension for specified subsystems.
phase	Apply an k-th power of T to this element.
power	Return the compose of a operator with itself n times.
reshape	Return a shallow copy with reshaped input and output subsystem dimensions.
tensor	Return the tensor product operator: self tensor other.
to_circuit	Return a QuantumCircuit implementing the CNOT-Dihedral element.
to_instruction	Return a Gate instruction implementing the CNOTDihedral object.
to_matrix	Convert operator to Numpy matrix.
to_operator	Convert to an Operator object.
transpose	Return the transpose of the CNOT-Dihedral element.

Attributes

dim

Return tuple (input_shape, output_shape).

key

Return a string representation of a CNOT-dihedral object.

num_qubits

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

qargs

Return the qargs for the operator.

settings

Return operator settings.