Kenfack – Życzkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit

Abgaryan, Vahagn; Khvedelidze, A.; Torosyan, Astghik

doi:10.1016/j.physleta.2021.127591

Cited by 3 publications

(1 citation statement)

References 38 publications

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“…We expect that this parameterization will be useful from a computational point of view in many physical applications including the models of elementary particles. Particularly, in forthcoming publications it will be used for the evaluation of very recently introduced indicators of quantumness/classicality of quantum states which are based on the potential of the Wigner quasidistributions to attain negative values [35]- [37].…”

Section: Discussionmentioning

confidence: 99%

Parameterizing qudit states

Khvedelidze

Mladenov²,

Torosyan

2021

Discrete and Continuous Models

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Quantum systems with a finite number of states at all times have been a primary element of many physical models in nuclear and elementary particle physics, as well as in condensed matter physics. Today, however, due to a practical demand in the area of developing quantum technologies, a whole set of novel tasks for improving our understanding of the structure of finite-dimensional quantum systems has appeared. In the present article we will concentrate on one aspect of such studies related to the problem of explicit parameterization of state space of an NN-level quantum system. More precisely, we will discuss the problem of a practical description of the unitary SU(N){SU(N)}-invariant counterpart of the NN-level state space BN{\mathcal{B}_N}, i.e., the unitary orbit space BN/SU(N){B_N/SU(N)}. It will be demonstrated that the combination of well-known methods of the polynomial invariant theory and convex geometry provides useful parameterization for the elements of BN/SU(N){B_N/SU(N)}. To illustrate the general situation, a detailed description ofBN/SU(N){B_N/SU(N)} for low-level systems: qubit (N=2{N= 2}), qutrit (N=3{N=3}), quatrit (N=4{N= 4}) - will be given.

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Section: Discussionmentioning

confidence: 99%

Parameterizing qudit states

Khvedelidze

Mladenov²,

Torosyan

2021

Discrete and Continuous Models

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Non-classical correlations of accelerated observers interacting with a classical stochastic noise beyond the single mode approximation

2023

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This paper investigates the behaviour of the quantum correlations for an accelerated two-qubit system during its interaction with a classical stochastic field, utilizing the Wigner function and concurrence. The non-classical behaviour is indicated by negative values of the Wigner function, while the degree of entanglement is demonstrated by the concurrence. To consider acceleration and interaction with a common or independent environment, we discard the single-mode approximation and utilize the Unruh construction of the quantum field mode in our analysis. Our results suggest that coherence suppression is caused by the acceleration effect, noise strength, and noise frequency. Through an examination of quantum concurrence, this study analyses the level of quantum entanglement that corresponds positively with negative values of the Wigner function. The findings indicate that coherence degradation in the initial system is reduced when observers interact independently with their environments, as opposed to interacting with a common environment. Additionally, the acceleration of both observers has an impact on coherence reduction. During system evolution, the Wigner function displays collapse and reappearance behaviour, while quantum entanglement undergoes local collapse and revival phenomena. Notably, common noise situations exhibit more rapid variation in both the Wigner function and entanglement compared to independent noise configurations.

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On the Nonclassicality Distance Indicator of Qudits

Khvedelidze,

Torosyan

2024

Phys. Part. Nuclei

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Kenfack – Życzkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit

Cited by 3 publications

References 38 publications

Parameterizing qudit states

Parameterizing qudit states

Non-classical correlations of accelerated observers interacting with a classical stochastic noise beyond the single mode approximation

On the Nonclassicality Distance Indicator of Qudits

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