2014/07/01 by Dominique Spehner · 71 citations
Computer Science · Mathematics · Physics and Astronomy · #Mathematics #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum capacity #Quantum discord #Quantum entanglement #Quantum information #Quantum mechanics #Quantum network #Quantum operation #Quantum state #Statistical physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1063/1.4885832
published in Journal of Mathematical Physics 55(7) (American Institute of Physics) · Review article, 103 pages, to appear in J. Math. Phys. 55 (special issue: non-equilibrium statistical mechanics, 2014)
openalex publication_date 2014/07/01 · arxiv created 2014/07/14 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A survey of various concepts in quantum information is given, with a main emphasis on the distinguishability of quantum states and quantum correlations. Covered topics include generalized and least square measurements, state discrimination, quantum relative entropies, the Bures distance on the set of quantum states, the quantum Fisher information, the quantum Chernoff bound, bipartite entanglement, the quantum discord, and geometrical measures of quantum correlations. The article is intended both for physicists interested not only by collections of results but also by the mathematical methods justifying them, and for mathematicians looking for an up-to-date introductory course on these subjects, which are mainly developed in the physics literature.