A statevector (first-quantized) encoding simulates one- and two-particle tight-binding dynamics with logarithmically fewer qubits than Jordan-Wigner, demonstrated with explicit circuits and IBM hardware runs.
,(12) where|ψ(l, t)|2 describes the probability of finding a par- ticle at site-lat timet
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Bloch oscillation with a diatomic tight-binding model on quantum computers
A statevector (first-quantized) encoding simulates one- and two-particle tight-binding dynamics with logarithmically fewer qubits than Jordan-Wigner, demonstrated with explicit circuits and IBM hardware runs.