Fermi-Dirac thermal measurements: A framework for quantum hypothesis testing and semidefinite optimization
Quantum measurements are the means by which we recover messages encoded into quantum states. They are at the forefront of quantum hypothesis testing, wherein the goal is to perform an optimal measurement for arriving at a correct conclusion. Mathematically, a measurement operator is Hermitian with eigenvalues in [0,1]. By noticing that this constraint on each eigenvalue is the same as that imposed on fermions by the Pauli exclusion principle, we interpret every eigenmode of a measurement operator as an independent effective fermionic mode. Under this perspective, various objective functions in quantum hypothesis testing can be viewed as the total expected energy associated with these ferm...
| Authors | Nana Liu, Mark M. Wilde |
|---|---|
| Primary category | quant-ph |
| Published | 4 March 2026 |
| Last updated at source | 18 August 2026 |
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