TdgGate

class qiskit.circuit.library.TdgGate(label=None)

Bases: Gate

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.

Can be applied to a QuantumCircuit with the tdg() method.

Matrix Representation:

\[\begin{split}Tdg = \begin{pmatrix} 1 & 0 \\ 0 & e^{-i\pi/4} \end{pmatrix}\end{split}\]

Circuit symbol:

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

Equivalent to a \(-\pi/4\) radian rotation about the Z axis.

Create new Tdg gate.

Attributes

condition_bits

Get Clbits in condition.

decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition

Return definition in terms of other basic gates.

duration

Get the duration.

label

Return instruction label

name

Return the name.

num_clbits

Return the number of clbits.

num_qubits

Return the number of qubits.

params

return instruction params.

unit

Get the time unit of duration.

Methods

inverse()

Return inverse Tdg gate (i.e. T).

power(exponent)

Raise gate to a power.