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Common Origin of No-Cloning and No-Deleting Principles Conservation of Information

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We discuss the role of the notion of information in the description of physical reality. We consider theories for which dynamics is linear with respect to stochastic mixing. We point out that the no-cloning and no-deleting principles emerge in any such theory, if law of conservation of information is valid, and two copies contain more information than one copy. We then describe the quantum case from this point of view.

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Authors and Affiliations

  1. Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952, Gdańsk, Poland

    Michał Horodecki & Ryszard Horodecki

  2. Institut für Theoretische Physik, Universität Hannover, D-30167, Hannover, Germany

    Aditi Sen(De) & Ujjwal Sen

  3. ICFO-Institut de Ciències Fotóniques, Parc Mediterrani de la Tecnologia, E-08860, Castelldefels (Barcelona), Spain

    Aditi Sen(De) & Ujjwal Sen

Authors
  1. Michał Horodecki
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  2. Ryszard Horodecki
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  3. Aditi Sen(De)
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  4. Ujjwal Sen
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Correspondence to Michał Horodecki.

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This paper is dedicated to Asher Peres on the occasion of his 70th birthday.

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Horodecki, M., Horodecki, R., Sen(De), A. et al. Common Origin of No-Cloning and No-Deleting Principles Conservation of Information. Found Phys 35, 2041–2049 (2005). https://doi.org/10.1007/s10701-005-8661-4

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  • DOI: https://doi.org/10.1007/s10701-005-8661-4

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