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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…
quant-ph2026
Chern-number estimation: nearly optimal quantum algorithm and provable quantum speedup
Soichiro Imamura, Shintaro Ae, Kazuki Sakamoto +2
Topological phases of matter are characterized by global properties of quantum states beyond conventional local order parameters. The Chern number is a central invariant in this ch…