multiple-quantum-hypothesis-testing

name	multiple-quantum-hypothesis-testing
description	Dimension-free one-shot bounds for multiple quantum state discrimination with sharp asymptotics
category	quantum

Multiple Quantum Hypothesis Testing

Methodology

Bayesian discrimination among multiple quantum states using dimension-free one-shot upper bounds on minimum probability of error.

Key Insights

1. Dimension-free bound: Upper bound on error probability in terms of sum of pairwise errors, resolving Audenaert-Mosonyi conjecture
2. Chernoff bound improvement: Improves multiple quantum Chernoff bound by removing dimension-dependent prefactor
3. Infinite-dimensional case: Proves achievability of multiple quantum Chernoff distance for arbitrary separable Hilbert spaces
4. Binary case characterization: Minimum error probability characterized by trace harmonic-mean quantity, within factor 2 of optimal classical error

Mathematical Framework

• Pairwise error decomposition for multi-state discrimination
• Trace harmonic-mean for binary quantum hypothesis testing
• Nussbaum-Szkoła distributions for classical-quantum correspondence

Activation

hypothesis testing, quantum state discrimination, Chernoff bound, Bayesian, error bounds