Quasi-probability representations of quantum theory with applications to quantum information science

Details Quasi-probability representations of quantum theory with applications to quantum information science Quasi-probability representations of quantum theory with applications to quantum information science

2010-10-13

arxiv.org/abs/1010.2701v3

Rep. Prog. Phys. 74 (2011) 116001

Physics

Quantum Physics

v3: typos fixed, references added

Scientific paper

10.1088/0034-4885/74/11/116001

This article comprises a review of both the quasi-probability representations of infinite-dimensional quantum theory (including the Wigner function) and the more recently defined quasi-probability representations of finite-dimensional quantum theory. We focus on both the characteristics and applications of these representations with an emphasis toward quantum information theory. We discuss the recently proposed unification of the set of possible quasi-probability representations via frame theory and then discuss the practical relevance of negativity in such representations as a criteria for quantumness.

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