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Quasi-probability representations of quantum theory with applications to quantum information science
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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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Cited by 2 Pith papers
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Suppressed Quantum Effects of Weakly Coupled Waves
Nonclassical (quantum) signatures of weakly coupled waves are suppressed by an extra power of the tiny conversion efficiency η (~10^-21 for axions, ~10^-33 for gravitons), so experiments cannot establish the quantizat...
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Temporal Kirkwood-Dirac Quasiprobability Distribution and Unification of Temporal State Formalisms through Temporal Bloch Tomography
A generalized Kirkwood–Dirac distribution for multi-time processes unifies pseudo-density operators, doubled density operators, and related temporal state formalisms via temporal Bloch tomography.
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