Classical Sufficiency in Quantum Statistical Experiments

arXiv:2609.29348 · math.ST, math-ph, math.MP, quant-ph, stat.TH · Submitted 2026-09-24 · Read on arXiv

math.ST, math-ph, math.MP, quant-ph, stat.TH

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Trace — 24× in this paper · explained in 2 episodes
• Action Space — 10× in this paper · explained in 1 episode
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Additivity — 5× in this paper · explained in 1 episode
• Fisher Information — 3× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Redundancy — 2× in this paper · explained in 2 episodes
• System Identification — 1× in this paper · explained in 3 episodes

Sources

• Comparison of quantum channels and statistical experiments
• A quantum version of randomization criterion
• Asymptotic inference in a stationary quantum time series

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