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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…
quant-ph2026
Encoding universal quantum computation into quantized Berry phases: Hardness results and classical algorithms
Kazuki Sakamoto, Keisuke Fujii
The Berry phase is a fundamental geometric quantity for characterizing the geometry and topology of quantum many-body systems. Previous work established a super-polynomial quantum…