Conditional Hybrid Nonclassicality

Agudelo, Elizabeth; Sperling, Jan; Costanzo, Luca; Bellini, M.; Zavatta, Alessandro; Vogel, W.

doi:10.1103/physrevlett.119.120403

Cited by 30 publications

(34 citation statements)

References 55 publications

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“…We would like to stress that the hybrid entangled bipartite states considered here have been recently generated in Refs., [6][7][8][9] and, as such, our results can be tested and used in the present running experiments.…”

Section: Introductionmentioning

confidence: 93%

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: 93%

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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“…To uncover the negativities of P (α; t) it is therefore necessary to use a regularization procedure which yields a regularized version of this function [95]. This procedure was successfully applied to experimental data [96][97][98] and generalized to different scenarios [99][100][101]. Here we will only recapitulate the basic idea.…”

Section: A the Regularized P Functionmentioning

confidence: 99%

Time-dependent nonlinear Jaynes-Cummings dynamics of a trapped ion

Krumm

Vogel

2018

Phys. Rev. A

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In quantum interaction problems with explicitly time-dependent interaction Hamiltonians, the time ordering plays a crucial role for describing the quantum evolution of the system under consideration. In such complex scenarios, exact solutions of the dynamics are rarely available. Here we study the nonlinear vibronic dynamics of a trapped ion, driven in the resolved sideband regime with some small frequency mismatch. By describing the pump field in a quantized manner, we are able to derive exact solutions for the dynamics of the system. This eventually allows us to provide analytical solutions for various types of time-dependent quantities. In particular, we study in some detail the electronic and the motional quantum dynamics of the ion, as well as the time evolution of the nonclassicality of the motional quantum state.

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“…Quantifying different types of correlations in quantum systems is a key area of research that has received a great deal of attention [62][63][64][65][66][67][68][69]. In parallel, phase-space methods have been utilized as a tool to identify and categorize quantum correlations [41,[70][71][72][73]. Further, these methods have been used to generate measures based on the emergence of negative quasi-probabilities in the Wigner function [37,[74][75][76].…”

Section: Visualizing Correlations In Hybrid Quantum Systemsmentioning

confidence: 99%

Visualization of correlations in hybrid discrete—continuous variable quantum systems

et al. 2020

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In this work we construct Wigner functions for hybrid continuous and discrete variable quantum systems. We demonstrate new capabilities in the visualization of the interactions and correlations between discrete and continuous variable quantum systems, where visualizing the full phase space has proven difficult in the past due to the high number of degrees of freedom. Specifically, we show how to clearly distinguish signatures that arise due to quantum and classical correlations in an entangled Bellcat state. We further show how correlations are manifested in different types of interaction, leading to a deeper understanding of how quantum information is shared between two subsystems. Understanding the nature of the correlations between systems is central to harnessing quantum effects for information processing; the methods presented here reveal the nature of these correlations, allowing a clear visualization of the quantum information present in these hybrid discrete-continuous variable quantum systems. The methods presented here could be viewed as a form of quantum state spectroscopy.Bloch sphere [20][21][22][23][24][25][26]. For example, there have been various proposals put forward that use a continuous Wigner function to reveal correlations between DV systems [26][27][28]. These methods have further been validated through the direct measurement of phase-space to reveal quantum correlations [28][29][30][31]. Recently this has been extended to experiments validating atomic Schrödinger cat states of up to 20 superconducting qubits [32].A case that has not been explored in much detail is the phase-space representation of CV-DV hybridization. This hybridisation is seen in many applications of quantum technologies, including simple gate models for quantum computers, such as hybrid two-qubit gates [33,34], and CV microwave pulse control of DV qubits [35]. The generation of hybrid quantum correlations within CV-DV hybrid 5 systems commonly takes place within the framework of cavity quantum electrodynamics, that describes the interaction between a two-level quantum system and a single mode of a microwave field. These models can be further used to describe the effect of circuit quantum electrodynamics, and to consider the interaction of the microwave field with an artificial atom. Analyzing these interactions within the framework of the Jaynes-Cummings model [36] allows us to display how quantum information is shared between the CV and DV systems.A number of papers [23, 24, 37] have shown the mathematical construction of hybrid states within the phase space, these have been constructed without giving a way to visually display the degrees of freedom of such composite systems. A method for displaying states with heterogeneous degrees of freedom, using the Wigner function, came from the application of composite phase-space methods to quantum chemistry [38]. The technique presented here is based on this approach, however in [38], reduced Wigner functions are used and an envelope is further applied, potentially losing many o...

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Conditional Hybrid Nonclassicality

Cited by 30 publications

References 55 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

Time-dependent nonlinear Jaynes-Cummings dynamics of a trapped ion

Visualization of correlations in hybrid discrete—continuous variable quantum systems

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