Nonclassicality filters and quasiprobabilities
T. Kiesel, W. Vogel
TL;DR
This paper introduces nonclassicality filters and quasiprobability distributions to identify and visualize nonclassical effects in bosonic quantum states, enabling direct sampling via homodyne detection.
Contribution
It formulates necessary and sufficient conditions for nonclassicality using new filters and quasiprobabilities, providing a practical method for experimental visualization.
Findings
Negativities in quasiprobabilities reveal nonclassical effects
Method applied to visualize nonclassicality of a squeezed state
Constructs regular quasiprobabilities from characteristic functions
Abstract
Necessary and sufficient conditions for the nonclassicality of bosonic quantum states are formulated by introducing nonclassicality filters and nonclassicality quasiprobability distributions. Regular quasiprobabilities are constructed from characteristic functions which can be directly sampled by balanced homodyne detection. Their negativities uncover the nonclassical effects of general quantum states. The method is illustrated by visualizing the nonclassical nature of a squeezed state.
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