TGate

class TGate(label=None)

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:

\[\begin{split}T = \begin{pmatrix} 1 & 0 \\ 0 & 1+i \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌───┐
q_0: ┤ T ├
     └───┘

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

Create new T gate.

Attributes

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

Methods

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