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Wehrl entropy based quantification of nonclassicality for single mode quantum optical states

DOI:10.1088/1751-8121/aaeebf 期刊:Journal of Physics A: Mathematical and Theoretical 出版年份:2018 更新时间:2025-09-23 15:21:01
摘要: Nonclassical states of a quantized light are described in terms of Glauber-Sudarshan P distribution which is not a genuine classical probability distribution. Despite several attempts, defining a uniform measure of nonclassicality (NC) for the single mode quantum states of light is yet an open task. In our previous work [Phys. Rev. A 95, 012330 (2017)] we have shown that the existing well-known measures fail to quantify the NC of single mode states that are generated under multiple NC-inducing operations. In this paper, we propose a new quantification of NC for the single mode quantum states as the difference between the total Wehrl entropy of the state and the maximum Wehrl entropy arising due to its classical characteristics. The classical reference state is chosen at the same randomness, given by the von-Neumann entropy, as the state itself. We further suggest operational interpretation of the proposed measure in terms of phase-space sampling entropy as well as potential to generate entanglement, in the case of pure states. We obtain analytic expressions of NC for pure states and Gaussian mixed states. We show that, along with the states generated under single NC-inducing operations, also for the broader class of states that are generated under multiple NC-inducing operations, our quantification enumerates the NC consistently. However, the evaluation of NC for the non-Gaussian mixed states is subject to extensive numerical computation that lies beyond the scope of the current work. We finally conclude with certain open questions.
作者: Soumyakanti Bose
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To propose a new quantification of nonclassicality (NC) for single mode quantum optical states based on Wehrl entropy, addressing the limitations of existing measures in quantifying NC for states generated under multiple NC-inducing operations.

The proposed Wehrl entropy-based quantification of NC provides a consistent measure for single mode quantum optical states, including those generated under multiple NC-inducing operations. It offers operational interpretations in terms of phase-space sampling entropy and entanglement potential for pure states. However, the approach is limited by the computational challenges in evaluating NC for non-Gaussian mixed states.

The evaluation of NC for non-Gaussian mixed states requires extensive numerical computation, which is beyond the scope of the current work. The study is limited to single mode quantum optical states and does not extend to multimode systems or non-optical quantum states.

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