Wyniki wyszukiwania dla: POLYTOPE GEOMETRY

• Types of Markov Fields and Tilings

  Publikacja

  • Y. Baryshnikov
  • J. Duda
  • W. Szpankowski

  - IEEE TRANSACTIONS ON INFORMATION THEORY - Rok 2016

  The method of types is one of the most popular techniques in information theory and combinatorics. However, thus far the method has been mostly applied to one-dimensional Markov processes, and it has not been thoroughly studied for general Markov fields. Markov fields over a finite alphabet of size m ≥ 2 can be viewed as models for multi-dimensional systems with local interactions. The locality of these interactions is represented...

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

  Publikacja

  • P. Joshi
  • A. Grudka
  • K. Horodecki
  • M. Horodecki
  • P. Horodecki
  • R. Horodecki

  - QUANTUM INFORMATION & COMPUTATION - Rok 2013

  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....

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