Quantum Sufficiency for Self-Adjoint Statistical Models via Likelihood-Type Operators on Real * -Subalgebras and Real Jordan Algebras

arXiv:2604.23292 · quant-ph · Submitted 2026-04-25 · Read on arXiv

quant-ph

Submitted: 2026-04-25

Updated: 2026-09-22

Terminology

• Hilbert Space — 13× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes

Sources

• Sufficiency in quantum statistical inference
• Sufficient support size of measurements for quantum estimation
• Sufficiency and Petz recovery for positive maps

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