Quantum Simulation of a Spin Chain

Click a qubit to flip its starting state. Drag a qubit up or down to change its local field. Drag empty space to orbit.

Time t-

Fidelity-

Energy E-

Energy drift-

Mean Mz-

Half-chain entropy-

Fidelity |<reference|simulated>|^2 and energy drift versus time; both reveal the Trotter error.

Digital quantum simulation of the transverse-field Ising chain H = -J sum Z_i Z_(i+1) - h sum X_i (Lloyd 1996; Trotter-Suzuki splitting). Cyan/pink arrow = Trotterised state, white ghost = fine-step reference; a short arrow means the qubit is entangled. Link colour/width = connected correlation.