Skip to main content
Problem List
Q12.T-Gate Squaring Identity (T · T = S)Easy

Q12.T-Gate Squaring Identity (T · T = S)

Single-Qubit OperationsQubits: 1Q
Demonstrate that two consecutive π/4\pi/4 phase rotations equal a π/2\pi/2 Phase gate (T2=ST^2 = S).
Target Objective:
Prepare ∣+⟩|+\rangle with Hadamard, then apply two T gates to produce ∣i+⟩|i+\rangle.
Judge Acceptance Criteria:

Statevector fidelity must reach ≥ 99.9% with the target unitary solution.

Gates:
q[0]|0⟩
S0
S1
S2
S3
S4
S5
S6
S7
Live Python / Qiskit Code (Edit to Update Circuit)
 
Type Qiskit Python code above to update gates on wires automatically0 gates · 1Q
0 gates placed1 Qubits · 8 Steps
State Measurement Distribution:2 non-zero basis states
|0⟩100.0%
|1⟩0.0%