Local information as a resource in distributed quantum systems |
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Authors: | Horodecki Michał Horodecki Karol Horodecki Paweł Horodecki Ryszard Oppenheim Jonathan Sen De Aditi Sen Ujjwal |
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Affiliation: | Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Gdańsk, Poland. |
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Abstract: | A new paradigm for distributed quantum systems where information is a valuable resource is developed. After finding a unique measure for information, we construct a scheme for its manipulation in analogy with entanglement theory. In this scheme, instead of maximally entangled states, two parties distill local states. We show that, surprisingly, the main tools of entanglement theory are general enough to work in this opposite scheme. Up to plausible assumptions, we show that the amount of information that must be lost during the protocol of concentration of local information can be expressed as the relative entropy distance from some special set of states. |
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