Unitarity as Preservation of Entropy and Entanglement in Quantum Systems |
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Authors: | Florian Hulpke Uffe V. Poulsen Anna Sanpera Aditi Sen Ujjwal Sen Maciej Lewenstein |
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Affiliation: | 1. Institut für Theoretische Physik, Universit?t Hannover, D-30167, Hannover, Germany 2. Department of Physics and Astronomy, University of Aarhus, DK-8000, Aarhus C., Denmark 3. Grup de Física Teòrica, Universitat Autònoma de Barcelona, E-08193, Bellaterra, Spain 5. Institució Catalana de Recerca i Estudis Avan?ats, Barcelona, Spain 4. ICFO-Institut de Ciències Fotòniques, Jordi Girona 29, E-08034, Barcelona, Spain
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Abstract: | The logical structure of Quantum Mechanics (QM) and its relation to other fundamental principles of Nature has been for decades a subject of intensive research. In particular, the question whether the dynamical axiom of QM can be derived from other principles has been often considered. In this contribution, we show that unitary evolutions arise as a consequences of demanding preservation of entropy in the evolution of a single pure quantum system, and preservation of entanglement in the evolution of composite quantum systems. 6 We would also like to dedicate this work to the memory of Asher Peres, whose contributions and sharp comments guided the first steps of the present article. |
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Keywords: | dynamical axiom of Quantum mechanics entanglement preservation entropy preservation |
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