English

Structure of quantum and classical implementations of Popescu-Rohrlich box

Quantum Physics 2020-10-14 v2

Abstract

We construct implementations of the PR-box using quantum and classical channels as state spaces. In both cases our constructions are very similar and they share the same idea taken from general probabilistic theories and the square state space model. We construct all quantum qubit channels that maximally violate a given CHSH inequality, we show that they all are entanglement-breaking channels, that they have certain block-diagonal structure and we present some examples of such channels.

Keywords

Cite

@article{arxiv.1907.08933,
  title  = {Structure of quantum and classical implementations of Popescu-Rohrlich box},
  author = {Anna Jenčová and Martin Plávala},
  journal= {arXiv preprint arXiv:1907.08933},
  year   = {2020}
}

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15 pages