Negativity volume of the generalized Wigner function as an entanglement witness for hybrid bipartite states

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作者
Ievgen I. Arkhipov
Artur Barasiński
Jiří Svozilík
机构
[1] Palacký University,RCPTM, Joint Laboratory of Optics of Palacký University and Institute of Physics of CAS, Faculty of Science
[2] University of Zielona Góra,Institute of Physics
[3] Universidad de los Andes,Quantum Optics Laboratory
[4] Universidad Nacional Autónoma de México,Centro de Física Aplicada y Technología Avanzada
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Generalized Wigner Function; Negative Volume (NV); Entanglement Witness; Nonclassical; Pure Qubit State;
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摘要
In a recent paper, Tilma, Everitt et al. derived a generalized Wigner function that can characterize both the discrete and continuous variable states, i.e., hybrid states. As such, one can expect that the negativity of the generalized Wigner function applied to the hybrid states can reveal their nonclassicality, in analogy with the well-known Wigner function defined for the continuous variable states. In this work, we demonstrate that, indeed, the negativity volume of the generalized Wigner function of the hybrid bipartite states can be used as an entanglement witness for such states, provided that it exceeds a certain critical value. In particular, we study hybrid bipartite qubit–bosonic states and provide a qubit–Schrödinger cat state as an example. Since the detection of the generalized Wigner function of hybrid bipartite states in phase space can be experimentally simpler than the tomographic reconstruction of the corresponding density matrix, our results, therefore, present a convenient tool in the entanglement identification of such states.
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