TdgGate

class TdgGate(label=None)

Single qubit T-adjoint gate (~Z**0.25).

It induces a \(-\pi/4\) phase.

This is a non-Clifford gate and a fourth-root of Pauli-Z.

Matrix Representation:

\[\begin{split}Tdg = \begin{pmatrix} 1 & 0 \\ 0 & 1-i \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌─────┐
q_0: ┤ Tdg ├
     └─────┘

Equivalent to a \(\pi/2\) radian rotation about the Z axis.

Create new Tdg gate.

Attributes

TdgGate.decompositions	Get the decompositions of the instruction from the SessionEquivalenceLibrary.
TdgGate.definition	Return definition in terms of other basic gates.
TdgGate.label	Return gate label
TdgGate.params	return instruction params.

Methods

TdgGate.add_decomposition(decomposition)	Add a decomposition of the instruction to the SessionEquivalenceLibrary.
TdgGate.assemble()	Assemble a QasmQobjInstruction
TdgGate.broadcast_arguments(qargs, cargs)	Validation and handling of the arguments and its relationship.
TdgGate.c_if(classical, val)	Add classical condition on register classical and value val.
TdgGate.control([num_ctrl_qubits, label, …])	Return controlled version of gate.
TdgGate.copy([name])	Copy of the instruction.
TdgGate.inverse()	Return inverse Tdg gate (i.e.
TdgGate.is_parameterized()	Return True .IFF.
TdgGate.mirror()	For a composite instruction, reverse the order of sub-gates.
TdgGate.power(exponent)	Creates a unitary gate as gate^exponent.
TdgGate.qasm()	Return a default OpenQASM string for the instruction.
TdgGate.repeat(n)	Creates an instruction with gate repeated n amount of times.
TdgGate.to_matrix()	Return a numpy.array for the inverse T gate.