Applied Physics CSIE II: UNIT IV: Quantum Computing

Phase Gate

Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

The Phase gate turns a |0> into |0> and a |1> into i|1>.

PHASE GATE

Definition

The Phase gate turns a |0> into |0> and a |1> into i|1>.

Action

(i) A Phase Gate acts only on the |1> state of a qubit by adding a phase factor, while leaving the |0> state unchanged.

Matrix form

The matrix for the phase gate can be defined as


Operation


Bloch Sphere action

Phase Gate (also called a Z‒rotation gate) performs a rotation around the Z‒axis of the Bloch sphere.

Property

A Z gate can be obtained by connecting two S gates in series


 

Applied Physics CSIE II: UNIT IV: Quantum Computing : Tag: Applied Physics : Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates - Phase Gate


Applied Physics CSIE II: UNIT IV: Quantum Computing



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