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Two-way channel simulation

Beigi, S ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1109/IWCIT.2015.7140209
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2015
  4. Abstract:
  5. In this paper, we consider the problem of simulating one copy of a zero-capacity two-way channel from arbitrary many copies of another two-way channel. The motivation for this problem comes from foundation of quantum physics where zero-capacity two-way channels (a.k.a. no-signaling boxes) serve as the abstract objects for studying non-locality. We provide necessary conditions for the possibility of channel simulation using two measures of correlation, namely maximal correlation and hypercontractivity ribbon. It is shown that when these measures are defined appropriately for two-way channels, they are monotonically decreasing under local operations. Our result allows us to establish a conjecture about the impossibility of simulating isotropic no-signaling boxes from each other
  6. Keywords:
  7. Abstract object ; Channel simulation ; Local operations ; Maximal correlation ; Nonlocalities ; Quantum physics ; Two ways ; Information theory
  8. Source: IWCIT 2015 - Iran Workshop on Communication and Information Theory, 6 May 2015 through 7 May 2015 ; 2015 ; 9781479982356 (ISBN)
  9. URL: http://ieeexplore.ieee.org/document/7140209/?reload=true