| 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
- Dimension-free bound: Upper bound on error probability in terms of sum of pairwise errors, resolving Audenaert-Mosonyi conjecture
- Chernoff bound improvement: Improves multiple quantum Chernoff bound by removing dimension-dependent prefactor
- Infinite-dimensional case: Proves achievability of multiple quantum Chernoff distance for arbitrary separable Hilbert spaces
- 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
