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quant-ph2026
Polylog-depth Quantum Thermal Simulation via Local Recovery Channels
Hideaki Hakoshima, Atsushi Iwaki, Nobuyuki Yoshioka
We establish sufficient conditions for preparing quantum thermal states of noncommuting local Hamiltonians with polylogarithmic circuit depth in arbitrary fixed spatial dimension.…
quant-ph2026
Quantum Complexity of Ancilla-Free Unitary Embeddings for Nonlinear Dynamics via Generalized State-Dependent Double-Bracket Flows
Yuki Ito, Hideaki Hakoshima, Keisuke Fujii
Simulating nonlinear dynamics with quantum computers has gained increasing attention. In general, such simulations require additional quantum resources because unitary quantum evol…