Skip to main contentIBM Quantum Documentation
You are viewing the API reference for an old version of Qiskit SDK. Switch to latest version

TdgGate

TdgGate(label=None) GitHub(opens in a new tab)

Bases: qiskit.circuit.gate.Gate

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

It induces a π/4-\pi/4 phase.

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

Matrix Representation:

Tdg=(100eiπ/4)\begin{split}Tdg = \begin{pmatrix} 1 & 0 \\ 0 & e^{-i\pi/4} \end{pmatrix}\end{split}

Circuit symbol:

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

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

Create new Tdg gate.


Methods Defined Here

inverse

TdgGate.inverse()

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


Attributes

condition_bits

Get Clbits in condition.

Return type

List[Clbit]

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

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.

Was this page helpful?