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Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China, School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China, Global College, Shanghai Jiao Tong University, Shanghai 200240, China
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Fermi-Dirac distributions offer a fresh perspective on quantum measurements, enabling a new paradigm for quantum hypothesis testing and semidefinite optimization by reframing them as fermionic systems.