Sufficiency in quantum statistical inference
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Publication:2456760
DOI10.1007/s00220-005-1510-7zbMath1156.81325arXivmath-ph/0412093OpenAlexW3103788441MaRDI QIDQ2456760
Publication date: 22 October 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0412093
Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)
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Cites Work
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- Structure of sufficient quantum coarse-grainings
- Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
- Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
- Quasi-entropies for finite quantum systems
- Conditional expectations in von Neumann algebras and a theorem of Takesaki
- Discrimination between states of a quantum system by observations
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Geometry of canonical correlation on the state space of a quantum system
- On Quantum Statistical Inference
- MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
- Inequalities for quantum entropy: A review with conditions for equality
