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H. Yamasaki

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Preprint Sep 2026

Thermodynamic Proof of Quantumness without Structure

This work introduces an alternative paradigm: a thermodynamic proof of quantumness based on energy consumption, using the search problem of Yamakawa and Zhandry with a structureless uniformly random oracle to show that any classical machine solving the task with constant success probability must generate entropy that g...

F. Meier, H. Yamasaki · 0 citations
Preprint Jul 2026

Quantum Information Decoupling Beyond Finite Dimensions

This framework provides foundational tools for exploring quantum information regardless of whether the physical world using finite- or infinite-dimensional spaces, and shows that the operational interpretation of entropic quantities through these achievable rates constitutes a universal principle beyond finite dimensio...

H. Yamasaki · 0 citations
Preprint Jul 2026

Lean-Quantum: Toward AI-Assisted Formalization of Quantum Information

This work presents a Lean 4 library for quantum information, designed as a reusable formal infrastructure for theoretical analysis, and formalizes the DPI for the sandwiched R\'enyi relative entropy for positive semidefinite operators on finite-dimensional quantum systems.

Kazumi Kasaura, Kei Tsukamoto, Kento Mori et al. · 2 citations

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