Abstract
We demonstrate that the negative volume of any -parametrized quasiprobability, including the Glauber-Sudashan 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 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.
- Received 27 August 2019
- Accepted 26 February 2020
DOI:https://doi.org/10.1103/PhysRevLett.124.110404
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