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
Click slot to place selected gate. Right-click to remove.0 gates in circuit
Click "Submit" in the top bar to run automated test cases against your circuit.