Quantum correlations and decoherence dynamics for a qutrit–qutrit system under random telegraph noise

Arthur, Tsamouo Tsokeng; Tchoffo, Martin; Fai, Lukong Cornelius

doi:10.1007/s11128-017-1645-4

Cited by 25 publications

(37 citation statements)

References 69 publications

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“…Within Gaussian noise-driven classical fields, it will estimate the degree of mixedness and loss of coherence of the pure coherent state in time. For a time evolved state ρ abc (t), purity is given by [55]:…”

Section: B Puritymentioning

confidence: 99%

“…Decoherence will be a valid measure to compute coherence loss in the time evolved state of the system because the system-environment interaction is described classically here. The Von-Neumann entropy approach can be used to estimate the decoherence effects for the time evolved density matrix ρ abc (t) as [55]:…”

Section: Decoherencementioning

confidence: 99%

“…Investigation of the time-evolution of entanglement, coherence, and their protection has been studied extensively and has remained the major focus in research aspects for various types of quantum systems. In addition, for both bipartite and tripartite quantum systems, different non-Gaussian noises such as random telegraph, static, and coloured noises are studied in detail [47,48,53,55,56].…”

Section: Introductionmentioning

confidence: 99%

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Probing tripartite entanglement and coherence dynamics in pure and mixed independent classical environments

Rahman¹,

Javed²,

Ullah³

et al. 2021

Preprint

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Quantum information processing exploits non-local functionality that has led to significant breakthroughs in the successful deployment of quantum mechanical protocols. In this regard, we address the dynamics of entanglement and coherence for three non-interacting qubits initially prepared as maximally entangled GHZ-like state coupled with independent classical environments. Two different Gaussian noises in pure and mixed noisy situations, namely, pure power-law noise, pure fractional Gaussian noise, power-law noise maximized and fractional Gaussian noise maximized cases are assumed to characterize the environments.With the help of time-dependent entanglement witnesses, purity, and decoherence measures, within the full range of parameters, we show that the current mixed noise cases are more detrimental than pure ones where entanglement and coherence are found short-lived. The power-law noise phase, in particular, appears to be more flexible and exploitable for longterm preservation effects. In contrast, we find that in both pure and mixed noise cases, where entanglement and coherence degrade at a relatively high rate, there is no ultimate solution for avoiding the detrimental dephasing effects of fractional Gaussian noise. The three-qubit state becomes disentangled and decoherent within independent classical environments driven by both pure and mixed Gaussian noises, either in long or short interaction time. In addition, due to the lack of the entanglement revivals phenomenon, there is no information exchange between the system and the environment. The three-qubit GHZ-like states have thus been realized to be an excellent resource for long enough quantum correlations, coherence, and quantum information preservation in classical independent channels driven by pure power-law noise with extremely low parameter values.

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Section: B Puritymentioning

confidence: 99%

Section: Decoherencementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Probing tripartite entanglement and coherence dynamics in pure and mixed independent classical environments

Rahman¹,

Javed²,

Ullah³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Qubit entanglement and coherence preservation are core issues in the fundamental theory and experiment of quantum optics and quantum information [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 ]. Reliable operations in quantum information processing should rely on the coherent manipulation of which information is processed or transmitted [ 25 , 26 ].…”

Section: Introductionmentioning

confidence: 99%

Coherent State Control to Recover Quantum Entanglement and Coherence

Shen

Shi

Yang

2019

Entropy

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How to analytically deal with the entanglement and coherence dynamics of separated Jaynes–Cummings nodes with continuous-variable fields is still an open question. We here generalize this model to a more common situation including either a small or large qubit-field detuning, and obtain two new analytical formulas. The X-state simplification, Fock-state shortcut and detuning-limit approximation work together in an amazingly accurate way, which agrees with the numerical results. The new formulas almost perfectly predict the two-qubit entanglement dynamics both in sudden death and rebirth phenomenon for detuning interactions. We find that when both the qubit-field detuning and amplitude of coherent states are large enough, the maximal entanglement and coherence peaks can be fully and periodically retrieved, and their revival periods both increase linearly with the increasing detuning.

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“…It has been revealed that higher dimensional systems may have advantages over the qubit ones, as they provide higher channel capacities, more secure cryptography and superior quantum gates [39][40][41]. In view of this fact, there have been some investigations regarding qutrit systems in the recent years, among which [42][43][44][45][46][47][48] just to cite a few examples. On the other hand, bipartite entangled states can be divided into free-entangled states (FES) and bound entangled states (BES) [2, 49].…”

mentioning

confidence: 99%

Dynamics of entanglement and quantum states transitions in spin-qutrit systems under classical dephasing and the relevance of the initial state

2018

Self Cite

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We provide a detailed analysis of the time-evolutions of free and bound entangled states in a twoqutrit system under the effects of local/non-local classical dephasing noises. Namely the Ornstein-Uhlenbeck (OU) and the static noise are considered. The importance of the initial state is also analyzed by considering two completely different initially entangled states and their respective locally equivalent states by means of local unitary operation (LUO). The qutrits isotropic and bound entangled states are studied and we analyze their dynamical evolution to infer quantum states transition in the system. We demonstrate the absence of state transitions for isotropic-like states, unlike bound entangled-like states where free entangled states may lose distillability. Disentanglement however occurs for independents environments no matter the initial state. Meanwhile, for a common environment we show that indefinite free entanglement survival can be achieved (suppression of distillability sudden death) by converting the initial state using the LUO, hence saving free entanglement in the bipartite high dimensional quantum system, useful for quantum information and processing purposes.OPEN ACCESS RECEIVED of entanglement) [28]. Thus, it is very important to analyze, characterize and optimize dynamical properties of the various kinds of environmental noise on entanglement dynamics in open quantum systems, which are of particular importance in practical quantum information processing.Previous works mostly concentrated on quantum correlations dynamics for mixed states in 2-dimensional quantum systems (qubits) as in [29][30][31][32][33], just to list a few. However, as compared to qubits, maximally entangled qudits violate local realism more strongly and are less affected by noise [34,35]. Thus, it is peculiar to characterize the dynamics of quantum correlations in systems of higher dimensions, so as to construct a useful parallel with the more extensively studied case of entanglement. In fact, higher-dimensional quantum systems can be used to improve the efficiency of quantum information processing [4,34,36]. In this sense, the dynamics of the high-dimensional bipartite entangled systems have been investigated [37,38]. It has been revealed that higher dimensional systems may have advantages over the qubit ones, as they provide higher channel capacities, more secure cryptography and superior quantum gates [39][40][41]. In view of this fact, there have been some investigations regarding qutrit systems in the recent years, among which [42][43][44][45][46][47][48] just to cite a few examples. On the other hand, bipartite entangled states can be divided into free-entangled states (FES) and bound entangled states (BES) [2, 49]. FES can be distilled under local operations and classical communication (LOCC) whereas, BES cannot be distilled to pure state entanglement. However, it is interesting that some bound entanglement can be distilled by certain procedures [50] or interaction with auxiliary systems [38, 51, 52]. These properties ...

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Quantum correlations and decoherence dynamics for a qutrit–qutrit system under random telegraph noise

Cited by 25 publications

References 69 publications

Probing tripartite entanglement and coherence dynamics in pure and mixed independent classical environments

Probing tripartite entanglement and coherence dynamics in pure and mixed independent classical environments

Coherent State Control to Recover Quantum Entanglement and Coherence

Dynamics of entanglement and quantum states transitions in spin-qutrit systems under classical dephasing and the relevance of the initial state

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