Sharp pairwise reduction for quantum hypothesis testing

arXiv:2609.28440 · quant-ph · Submitted 2026-09-23 · Read on arXiv

quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Trace — 16× in this paper · explained in 2 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Score Function — 2× in this paper · explained in 4 episodes
• Error Exponents — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes

Sources

• Multiple Quantum Hypothesis Testing: One-Shot Pairwise Bounds and Sharp Asymptotics
• Pretty simple bounds on quantum state discrimination
• Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination
• Near-optimal performance of square-root measurement for general score functions and quantum ensembles

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