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Negativity of Quasiprobability Distributions as a Measure of Nonclassicality
Kok Chuan Tan1,2, Seongjeon Choi1, Hyunseok Jeong1
1Department of Physics and Astronomy, Seoul National University, Seoul 08826, Republic of Korea.
Abstract:
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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