Measurement of complete and continuous Wigner functions for discrete atomic systems

Tian, Yantao; Wang, Zhihui; Zhang, Pengfei; Li, Gang; Li, Jie; Zhang, Tiancai

doi:10.1103/physreva.97.013840

Cited by 14 publications

(23 citation statements)

References 62 publications

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“…15 The series of simulations and experiments have proved practical usefulness of that new approach in the characterization of the discrete variable states in the continuous phase space. [16][17][18] In the first case such a Wigner function can exhibit negativity even for separable spin states 16 and in the latter case it was suggested that the Wigner function can serve as an indicator of the purity of single qubits. 17 This could imply that such observed negativity cannot uniquely be utilized in the characterization of the nonclassicality in the discrete domain.…”

Section: Introductionmentioning

confidence: 99%

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

Arkhipov

Barasiński

Svozilík

2018

Sci Rep

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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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Section: Introductionmentioning

confidence: 99%

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

Arkhipov

Barasiński

Svozilík

2018

Sci Rep

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“…Two examples of this when measuring a single qubit can be found in recent works, ref. [134] and ref. [95], where in ref.…”

Section: Quantum Technologies In Phase Spacementioning

confidence: 99%

Overview of the Phase Space Formulation of Quantum Mechanics with Application to Quantum Technologies

Rundle

Everitt

2021

Adv Quantum Tech

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The phase‐space formulation of quantum mechanics has recently seen increased use in testing quantum technologies, including methods of tomography for state verification and device validation. Here, an overview of quantum mechanics in phase space is presented. The formulation to generate a generalized phase‐space function for any arbitrary quantum system is shown, such as the Wigner and Weyl functions along with the associated Q and P functions. Examples of how these different formulations are used in quantum technologies are provided, with a focus on discrete quantum systems, qubits in particular. Also provided are some results that, to the authors' knowledge, have not been published elsewhere. These results provide insight into the relation between different representations of phase space and how the phase‐space representation is a powerful tool in understanding quantum information and quantum technologies.

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“…Finally, it is also worth mentioning that one of the advantages of using the WDF is that it can be reconstructed from experimental data. This reconstruction allows one to visualize the WDF for different physical systems such as states of trapped light 42 , states of the microwave field 43 , molecular vibrational states, electrons and ions states 44 – 46 , thermal states 47 , 48 or states of the spin systems 49 .…”

Section: Introductionmentioning

confidence: 99%

Phase-space studies of backscattering diffraction of defective Schrödinger cat states

Kołaczek

Spisak

Wołoszyn

2021

Sci Rep

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The coherent superposition of two well separated Gaussian wavepackets, with defects caused by their imperfect preparation, is considered within the phase-space approach based on the Wigner distribution function. This generic state is called the defective Schrödinger cat state due to this imperfection which significantly modifies the interference term. Propagation of this state in the phase space is described by the Moyal equation which is solved for the case of a dispersive medium with a Gaussian barrier in the above-barrier reflection regime. Formally, this regime constitutes conditions for backscattering diffraction phenomena. Dynamical quantumness and the degree of localization in the phase space of the considered state as a function of its imperfection are the subject of the performed analysis. The obtained results allow concluding that backscattering communication based on the defective Schrödinger cat states appears to be feasible with existing experimental capabilities.

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Measurement of complete and continuous Wigner functions for discrete atomic systems

Cited by 14 publications

References 62 publications

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

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

Overview of the Phase Space Formulation of Quantum Mechanics with Application to Quantum Technologies

Phase-space studies of backscattering diffraction of defective Schrödinger cat states

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