The sudden death of entanglement in constructed Yang–Baxter systems

Hu, Taotao; Sun, Chunfang; Xue, Ke

doi:10.1007/s11128-009-0125-x

Cited by 9 publications

(7 citation statements)

References 42 publications

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“…In this paper, we extend the study of our previous work [42] to tripartite Yang-Baxter systems. The extension to the case of tripartite systems is not trivial due to the higher degree of complexity of the problem and also for the peculiar structure of tripartite entanglement.…”

Section: Discussionmentioning

confidence: 66%

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Tripartite entanglement sudden death in Yang-Baxter systems

Ren

Xue

2011

Quantum Inf Process

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In this paper, we derive unitary Yang-BaxterȒ(θ, ϕ) matrices from the 8 × 8 M matrix and the 4 × 4 M matrix by Yang-Baxteration approach, where M/M is the image of the braid group representation. In Yang-Baxter systems, we explore the evolution of tripartite negativity for three qubits Greenberger-Horne-Zeilinger (GHZ)-type states and W-type states and investigate the evolution of the bipartite concurrence for 2 qubits Bell-type states. We show that tripartite entanglement sudden death (ESD) and bipartite ESD all can happen in Yang-Baxter systems and find that ESD all are sensitive to the initial condition. Interestingly, we find that in the Yang-Baxter system, GHZ-type states can have bipartite entanglement and bipartite ESD, and find that in some initial conditions, W-type states have tripartite ESD while they have no bipartite Entanglement. It is worth noting that the meaningful parameter ϕ has great influence on bipartite ESD for two qubits Bell-type states in the Yang-Baxter system.

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Section: Discussionmentioning

confidence: 66%

“…we have also investigated bipartite Entanglement sudden death in constructed Yang-Baxter systems in another paper [42]. In this paper, We mainly explore tripartite Entanglement sudden death in Yang-Baxter systems where we take the unitary Yang-Baxter matrixȒ(θ, ϕ) as the evolution operator U (t) directly.…”

Section: Introductionmentioning

confidence: 99%

Tripartite entanglement sudden death in Yang-Baxter systems

Ren

Xue

2011

Quantum Inf Process

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“…It is convenient to choose the initial state ρ 0 = 1−γ 4 + γ|ψ ψ| (0 < γ ≤ 1) with |ψ =sinα|01 + cosα|10 . It is worth to mention that in our paper [29], it has been shown that in Yang-Baxter systems, the ESD is not only sensitive to the initial condition , but also has relations with the different Yang-Baxter systems. And it has been found that the meaningful parameter ϕ has a great influence on the ESD.…”

Section: Esd In the Same Yang-baxter Systemmentioning

confidence: 75%

A study on the relations between the topological parameter and entanglement

et al. 2012

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In this paper, some relations between the topological parameter d and concurrences of the projective entangled states have been presented. It is shown that for the case with d = n, all the projective entangled states of two n-dimensional quantum systems are the maximally entangled states (i.e. C = 1). And for another case with d = n, C both approach 0 when d → +∞ for n = 2 and 3. Then we study the thermal entanglement and the entanglement sudden death (ESD) for a kind of Yang-Baxter Hamiltonian. It is found that the parameter d not only influences the critical temperature Tc, but also can influence the maximum entanglement value at which the system can arrive at. And we also find that the parameter d has a great influence on the ESD.

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“…Consider a system of two spin-1/2 particles (particle 1 and 2) or nearest spin-spin interaction described by an initial Hamiltonian H 0 [47,61]…”

Section: Dynamical Modelsmentioning

confidence: 99%

“…In another study, it is found that any pure two-qudit entangled state can be achieved by a universal Yang-Baxter matrix (YBM) which satisfies the (universal) quantum Yang-Baxter equation assisted by local unitary transformations [41]. In recent work, the sudden death of entanglement has been investigated in constructed Yang-Baxter systems (YBSs) [47] which are the various extensions of the YBEs for several matrices [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Action in Hamiltonian Models Constructed by Yang-Baxter Equation: Entanglement and Measures of Correlation

Duran

2020

Preprint

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By using the quantum Yang-Baxterization approach, we investigate the dynamics of quantum entanglement under the actions of different Hamiltonians on the different two-qubit input states and analyze the effects of the Yang-Baxter operations on it. During any quantum process that takes place in a noisy environment, quantum correlations display behavior that does not increase. We point out that for two-qubit systems subject to actions of different Yang-Baxter operations the loss of correlations can be mitigated by the appropriate choice of the initial states and the Yang-Baxterization process. We show that in a noisy environment it possible to create the optimal conditions for performing any quantum information task.

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The sudden death of entanglement in constructed Yang–Baxter systems

Cited by 9 publications

References 42 publications

Tripartite entanglement sudden death in Yang-Baxter systems

Tripartite entanglement sudden death in Yang-Baxter systems

A study on the relations between the topological parameter and entanglement

Action in Hamiltonian Models Constructed by Yang-Baxter Equation: Entanglement and Measures of Correlation

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