TGate

class TGate(label=None)

Bases: qiskit.circuit.gate.Gate

Single qubit T gate (Z**0.25).

It induces a \(\pi/4\) phase, and is sometimes called the pi/8 gate (because of how the RZ(pi/4) matrix looks like).

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

Matrix Representation:

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

Circuit symbol:

     ┌───┐
q_0: ┤ T ├
     └───┘

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

Create new T gate.

Methods Defined Here

inverse

Return inverse T gate (i.e.

Attributes

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

Return type

str

params

return instruction params.

unit

Get the time unit of duration.