Phase Gate (S Gate)
Matrix Representation
The Phase Gate SSS is represented by the matrix:
Effect on Basis States
Truth Table of the Phase Gate
Since quantum gates don’t behave like classical logic gates (they act on quantum states, not binary bits), we use a quantum truth table that shows the input state and output state.
| Input State | Output State after S Gate |
|---|---|
| ( | 0⟩ ) |
| ( | 1⟩ ) |