NO-BROADCASTING OF NON-SIGNALLING BOXES VIA OPERATIONS WHICH TRANSFORM LOCAL BOXES INTO LOCAL ONES

P. Joshi; Andrzej Grudka; Karol Horodecki; Michał Horodecki; Paweł Horodecki; Ryszard Horodecki

NO-BROADCASTING OF NON-SIGNALLING BOXES VIA OPERATIONS WHICH TRANSFORM LOCAL BOXES INTO LOCAL ONES

Abstract

We deal with families of probability distributions satisfying non-signalling condition, called non-signalling boxes and consider a class of operations that transform local boxes into local ones (the one that admit LHV model). We prove that any operation from this class cannot broadcast a bipartite non-local box with 2 binary inputs and outputs. We consider a function called anti-Robustness which can not decrease under these operations. The proof reduces to showing that anti-Robustness would decrease after broadcasting

Authors (6)

P. Joshi
- University of Gdansk Faculty of Mathematics,Physics and Informatics
Andrzej Grudka
- Adam Mickiewicz University Faculty of Physics
Karol Horodecki
- University of Gdańsk Institute of Informatics
Michał Horodecki
- University of Gdańsk Faculty of Mathematics, Physics and Informatics
Paweł Horodecki prof. dr hab.
Ryszard Horodecki
- University of Gdansk Faculty of Mathematics,Physics and Informatics

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: QUANTUM INFORMATION & COMPUTATION no. 13, edition 7-8, pages 567 - 582,
ISSN: 1533-7146
Language:: English
Publication year:: 2013
Bibliographic description:: Joshi P., Grudka A., Horodecki K., Horodecki M., Horodecki P., Horodecki R.: NO-BROADCASTING OF NON-SIGNALLING BOXES VIA OPERATIONS WHICH TRANSFORM LOCAL BOXES INTO LOCAL ONES// QUANTUM INFORMATION & COMPUTATION. -Vol. 13, iss. 7-8 (2013), s.567-582
Verified by:: Gdańsk University of Technology