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

Abstract

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 ...

Quantum memory assisted entropic uncertainty and entanglement dynamics: Two qubits coupled with local fields and Ornstein Uhlenbeck noise

“…In many quantum mechanical protocols, the OU method is a static Gaussian-Markov operation with OU noise, and it has been identified as one of the numerous and primary causes of information, coherence, and quantum correlation losses [28]. OU noise has been extensively studied in the case of single qutrit, two-qubit, three qubits, and hybrid qubit-qutrit states and we find that in each case, the degree and behavior of losses are different [26,37,38]. Currently, the OU noise is applied to the dynamical map of the two-qubit mixed Werner state, which is created in the state ρ o .…”

“…L(τ ), R(τ ), and U (τ ) all have a monotonic qualitative dynamical behaviour that is compatible with C(τ ). Different types of quantum systems remained entangled depending on the type of system-environment interaction given in [15,28,[36][37][38], but the current bipartite Werner state becomes completely disentangled. 11) for independent qubit-noise configuration when p = 1.…”

Witnessing Quantum Correlations in a Hybrid Qubit‐Qutrit System Under Intrinsic Decoherence

“…Note that  is non-negative and non-increasing under classical mixing. [47] For a 2 ⊗ d (qubit-qudit) quantum system, the LQU can be summarized as a compact formula [48] (𝜌) = 1 − 𝜆 max ( AB ), (27) in which 𝜆 max stands for the largest eigenvalue of the 3 × 3 matrix  AB with the following elements…”

“…[17][18][19] Hence, many analytical tools, simulation techniques and several other methods for calculating and quantifying quantum correlations have been investigated to explore the separability of bipartite quantum systems. [20,21] Importantly, recent works shed light on studying quantum correlations for qubit-qutrit and qutritqutrit states, [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] which creates a fascinating future in quantum technologies. [39] Due to the possibility of maximum control of the associated Hilbert space, hybrid qubit-qudit systems have become increasingly important in the field of quantum information.…”

Entanglement in three-flavor collective neutrino oscillations

“…Applications of qutrits (and qudits in general) in quantum simulations of physics problems are also being explored [61,62]. It was suggested that entangled qutrits are less affected by noise than the entangled qubits [63,64]. It might be interesting to see how it affects the coherent forward scattering in neutrinos.…”