Negativity of Quasiprobability Distributions as a Measure of Nonclassicality

Negativity of Quasiprobability Distributions as a Measure of Nonclassicality

We demonstrate that the negative volume of any s-parametrized quasiprobability, including the Glauber-Sudashan P function, can be consistently defined and forms a continuous hierarchy of nonclassicality measures that are linear optical monotones. These measures belong to an operational resource theo...

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Veröffentlicht in:Physical review letters 2020-03, Vol.124 (11), p.110404-110404, Article 110404
Hauptverfasser: Tan, Kok Chuan, Choi, Seongjeon, Jeong, Hyunseok
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Choi, Seongjeon
Jeong, Hyunseok
description We demonstrate that the negative volume of any s-parametrized quasiprobability, including the Glauber-Sudashan P function, can be consistently defined and forms a continuous hierarchy of nonclassicality measures that are linear optical monotones. These measures belong to an operational resource theory of nonclassicality based on linear optical operations. The negativity of the Glauber-Sudashan P function, in particular, can be shown to have an operational interpretation as the robustness of nonclassicality. We then introduce an approximate linear optical monotone, and we show that this nonclassicality quantifier is computable and is able to identify the nonclassicality of nearly all nonclassical states.
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title Negativity of Quasiprobability Distributions as a Measure of Nonclassicality
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