multiple-quantum-hypothesis-testing

# 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