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Nana Liu

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Preprint Aug 2026

Unifying quantum measurement constructions via a relative-entropy minimum change principle

The minimum change principle provides an information-theoretic characterization of the Bayes reversal channel in classical probability theory and has recently been proposed as a framework for extending Bayes'rule to quantum information theory. Using quantum relative entropy, we investigate a minimum change principle fo...

Nana Liu, Mark M. Wilde · 2 citations

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]....

Nana Liu, Mark M. Wilde · 6 citations

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