Disentanglement and decoherence in a pair of qutrits under dephasing noise

Jaeger, Gregg; Ann, Kevin

doi:10.1080/09500340701639573

Cited by 24 publications

(34 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The proof of this assumption can be found in Ref. [7], where again Ann-Jaeger wrote wrong operators in their Section 2, however they provide the correct matrix as Eq. (2) of Ref.…”

Section: Dynamics Of Qutrit-qutrit System Under Global Decoherencementioning

confidence: 94%

“…We note that if multi-local fields are turned off, i. e., γ A = γ B = 1, and qutrit-qutrit system is subjected to collective noise, then decoherence free subspaces (DFS) [2,7] do appear in this system. Similarly, we can concentrate on the dynamics only for multi-local decoherence by turning off the collective magnetic field, i. e., γ = 1 in Eq.…”

Section: Dynamics Of Qutrit-qutrit System Under Global Decoherencementioning

confidence: 99%

“…The dynamics of density matrix can be given by operator sum representation [6,7] as ρ(t) = n j K † j (t)ρ(0)K j (t), where K j are Kraus operators [22] that preserve the positivity and unit trace conditions, i. e.,…”

Section: Dynamics Of Qutrit-qutrit System Under Global Decoherencementioning

confidence: 99%

See 2 more Smart Citations

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

Ali

2010

Phys. Rev. A

View full text Add to dashboard Cite

Recently Song et al., Phys. Rev. A 80, 012331 (2009), have discovered that certain two-qutrit entangled states interacting with multi-local decoherence undergo distillability sudden death whereas their locally equivalent states do not exhibit such behavior. We have found that their basic equation of motion missed some terms and therefore the subsequent calculations and conclusions are not correct/valid except that distillability sudden death may occur. We provide the missing terms and point out the corrections which must be done in the literature to remove confusion. Moreover, we have studied this feature for certain entangled states under global, collective and multi-local decoherence. We have found that entanglement sudden death and distillability sudden death may happen under global and multi-local noises. Moreover, local unitary transformations can not avoid distillability sudden death.

show abstract

“…The proof of this assumption can be found in Ref. [7], where again Ann-Jaeger wrote wrong operators in their Section 2, however they provide the correct matrix as Eq. (2) of Ref.…”

Section: Dynamics Of Qutrit-qutrit System Under Global Decoherencementioning

confidence: 94%

Section: Dynamics Of Qutrit-qutrit System Under Global Decoherencementioning

confidence: 99%

See 1 more Smart Citation

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

Ali

2010

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…The phenomenon in which a free entangled state becomes nondistillable is called distillability sudden death (DSD). It is shown in [22,33,34] that in the presence of dephasing noise some free entangled states of a qutrit-qutrit system become nondistillable in a finite time. The effect of an amplitude damping channel on such a system is studied in [35], where the authors found that a simple local unitary transformation can completely avoid DSD.…”

Section: Introductionmentioning

confidence: 99%

Nondistillability of distillable qutrit–qutrit states under depolarising noise

Khan

2011

Journal of Modern Optics

View full text Add to dashboard Cite

We study the effects of decoherence on some particular bipartite qutrit states under the influence of global, collective, local and multilocal depolarising noise. We show that certain free entangled distillable qutrit density matrices become bound entangled or separable and hence convert into nondistillable density matrices in global noise. The collective noise increases the degree of entanglement of the qutrit bipartite states. Furthermore, we show that some particular local operation cannot avoid the nondistillability of the distillable states.

show abstract

“…We consider two types of system-environment interactions, namely the case of independent environments ( n = ¹ g 0 j and g=0), as well as the case of a common/collective environment (g j =0 and n = ¹ g 0). The dynamics of quantum correlations under dephasing have been investigated in higher dimensional and hybrid quantum systems with few approaches [42,45,[70][71][72]. The aim of this study is to analyze its effects due to environmental noise models which can be described classically, that are present within numerous quantum systems recognized as useful resources for quantum information processing tasks.…”

Section: Introductionmentioning

confidence: 99%

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

2018

View full text Add to dashboard Cite

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 ...

show abstract

Disentanglement and decoherence in a pair of qutrits under dephasing noise

Cited by 24 publications

References 13 publications

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

Nondistillability of distillable qutrit–qutrit states under depolarising noise

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

Contact Info

Product

Resources

About