Abstract
We propose entropic nonclassicality criteria for quantum states of light that can be readily tested using homodyne detection with beam splitting operation. Our method draws on the fact that the entropy of quadrature distributions for a classical state is non-increasing under an arbitrary loss channel. We show that our test is strictly stronger than the variance-based squeezing condition and that it can also be extended to detect quantum non-Gaussianity in conjunction with phase randomization. Furthermore, we address how our criteria can be used to identify single-mode resource states to generate two-mode states demonstrating EPR paradox, i.e., quantum steering, via beam-splitter setting.
Highlights
We propose entropic nonclassicality criteria for quantum states of light that can be readily tested using homodyne detection with beam splitting operation
For continuous variable (CV) quantum information[25,26], the entropy of quantum states has played a central role in establishing the capacities of Gaussian quantum channels[27,28,29,30] and the entanglement of formation for Gaussian states[31,32]
We have proposed entropic nonclassicality criteria that look into the entropies of a quadrature amplitude before and after a loss channel
Summary
We propose entropic nonclassicality criteria for quantum states of light that can be readily tested using homodyne detection with beam splitting operation. For continuous variable (CV) quantum information[25,26], the entropy of quantum states has played a central role in establishing the capacities of Gaussian quantum channels[27,28,29,30] and the entanglement of formation for Gaussian states[31,32]. It has been employed for measuring non-Gaussianity[33,34,35] and quantum non-Gaussianity[36] of quantum states. Given a quantum state of light, if the output entropy turns out to be larger than the input entropy for a certain quadrature distribution, it is nonclassical. M [ρ](q) turns out to be larger than that of the input distribution Mρ(q), the original state ρ is nonclassical
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