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Can switching bases mid-simulation make quantum circuits easier to fake?

Ch Nihar Kartikeya, Anjana K, Bijita Sarma, Sangkha Borah

May 26, 2026

Simulating quantum circuits classically gets hard when entanglement spreads probability weight across many states. BASS fixes this by continuously rotating each qubit into the basis where its amplitudes stay most concentrated—borrowing a trick from quantum chemistry called natural orbitals—before discarding small terms. On disordered Ising circuits it achieves roughly 10× better state overlap at the same memory budget, and it outperforms fixed-basis methods on structured circuits too, at only modest extra runtime cost.
Published as Basis-Adaptive Sparse-State Simulation of Quantum Circuits arXiv:2605.27285
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