A
Arleta Szkola
Researcher at Max Planck Society
Publications - 23
Citations - 597
Arleta Szkola is an academic researcher from Max Planck Society. The author has contributed to research in topics: Quantum capacity & Von Neumann entropy. The author has an hindex of 11, co-authored 23 publications receiving 536 citations. Previous affiliations of Arleta Szkola include Technical University of Berlin.
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The chernoff lower bound for symmetric quantum hypothesis testing
Michael Nussbaum,Arleta Szkola +1 more
TL;DR: A lower bound on the asymptotic rate exponents of Bayesian error probabilities is proved, which represents a quantum extension of the Chernoff bound, which gives the best asymPTotically achievable error exponent in classical discrimination between two probability measures on a finite set.
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A quantum version of Sanov's theorem
Igor Bjelakovic,Jean-Dominique Deuschel,Tyll Krüger,Tyll Krüger,Ruedi Seiler,Rainer Siegmund-Schultze,Rainer Siegmund-Schultze,Arleta Szkola +7 more
TL;DR: In this paper, a quantum version of Sanov's theorem focussing on a hypothesis testing aspect of the theorem is presented. But the quantum case is different from the classical case, in the sense that the choice of the separating subspaces depends additionally on the reference state.
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The Shannon-McMillan theorem for ergodic quantum lattice systems
TL;DR: In this article, a quantum Shannon-McMillan theorem for translation invariant ergodic quantum spin systems on ℤν-lattices was proved. But it is not a quantum spin system that we consider in this paper.
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Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno’s Theorem
TL;DR: A quantum version of this theorem is proved, connecting the von Neumann entropy rate and two notions of quantum Kolmogorov complexity, both based on the shortest qubit descriptions of qubit strings that, run by a universal quantum Turing machine, reproduce them as outputs.
Posted Content
A lower bound of Chernoff type for symmetric quantum hypothesis testing
Michael Nussbaum,Arleta Szkola +1 more
TL;DR: A Chernoff type lower bound for the asymptotically achievable error exponents is proved for commuting density operators in a finite dimensional unital Calgebra capturing the classical and quantum scenarios simultaneously.