TGate

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

Bases: 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.

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

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.

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 T gate (i.e. Tdg).

power(exponent)

Raise gate to a power.