Entanglement dynamics and decoherence of three-qubit system in a fermionic environment

San, Xiao; Wang, An Min; Xiao, Yang; You, Hao

doi:10.1088/0305-4470/38/12/016

Cited by 25 publications

(13 citation statements)

References 23 publications

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“…Recently the dynamics of three qubits in a symmetry broken fermionic environment has been exactly solved. 8 This could be also investigated within the framework of the Heisenberg interaction and may be extended to more qubit cases. Because of the high symmetry of the Hamiltonian, we expect that some structure will appear when the number of central spins increases.…”

Section: Discussionmentioning

confidence: 99%

“…The Ising and transverse Ising model were first applied to the description of the reduced dynamics of one-qubit and two-qubit systems under a symmetry broken environment in thermal equilibrium where phase transitions occur. [6][7][8] Later, another model was proposed 9 in which the central system is immersed in an environment composed of N spin 1 2 particles arranged in a star structure. In Ref.…”

Section: Introductionmentioning

confidence: 99%

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Exact dynamics of a two-qubit system in a spin star environment

2006

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We derive the exact reduced dynamics of a central two-qubit system in a spin star configuration. The exact evolution of the reduced system density matrix is obtained and we compute the limit of an infinite number of environment spins. Initially pure states of the central system evolve into mixed ones and we determine the decoherence-free states of the model. The long-time behavior is studied, partial decoherence is shown to be a result of the coupling of the qubits to the environment, and entanglement evolution of the central system is investigated.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact dynamics of a two-qubit system in a spin star environment

2006

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“…In fact, until the present, the quantification and characterization of the exact amount of entanglement between the different constituent parts of a multi-partite entangled quantum system remains a challenging task and has been calculated only for particular model of decoherence and particular quantum states [39]. Nevertheless, many different entanglement measures for multi-partite entangled quantum systems defined as the sum of the bipartite entanglement measures over all the possible bi-partitions of total quantum system have been proposed during the years [40,41] (see also the review papers [42,43] and the references therein) and some interesting results based on this strategy have been obtained [44][45][46][47][48][49][50][51][52][53][54][55]. For instance, it has been found that for multi-qubit systems, the degree of entanglement robustness tends to increases or decreases with the increase of the number of qubits of the system [8,56].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs)

Kenfack¹,

Tchoffo²,

Jipdi³

et al. 2018

J. Phys. Commun.

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The paper investigates the dynamics of entanglement and explores some geometrical characteristics of the trajectories in state space, in four-qubit Greenberger-Horne-Zeilinger (GHZ) -and W-type states, coupled to common and independent classical random telegraph noise (RTN) sources. It is shown from numerical simulations that: (i) the dynamics of entanglement depends drastically not only on the input configuration of the qubits and the presence or absence of memory effects, but also on whether the qubits are coupled to the RTN in a CE or IEs; (ii) a considerable amount of entanglement can be indefinitely trapped when the qubits are embedded in a CE; (iii) the CE configuration preserves better the entanglement initially shared between the qubits than the IEs configuration, however, for W-type states, there is a period of time and/or certain values of the purity for which, the opposite can be found. Thanks to the results obtained in our earlier works on three-qubit models, we are able to conclude that entanglement becomes more robustly protected from decay when the number of qubits of the system increases. Finally, we find that the trajectories in state space of the system quantified by the quantum Jensen Shannon divergence (QJSD) between the time-evolved states of the qubits and some reference states may be curvilinear or chaotic.

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“…This phenomenon leads to local decoherences that spoil the necessary entanglement. In previous studies, various types of environments were studied, such as fermionic symmetry-broken [3] , quantum critical [4] , dephasing [5] , multimode electromagnetic field [6,7] , and quantum spin environments [8] , among others.The evolution of open quantum systems is divided into the Markovian and non-Markovian regimes. For the Markovian regime, the correlation time between the system and environment is infinitesimally small such that the dynamical map has no memory effects and results in a monotonic flow of information from the system to the environment.…”

mentioning

confidence: 99%

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confidence: 99%

Dif ferent entanglement dynamics and transfer behaviors due to dipole-dipole interaction

Cui¹,

Zhang²,

Man³

et al. 2012

中国光学快报

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We analyze entanglement dynamics and transfer in a system composed of two initially correlated two-level atoms, in which each atom is coupled with another atom interacting with its own reservoir. Considering atomic dipole-dipole interactions, the results show that dipole-dipole interactions restrain the entanglement birth of the reservoirs, and a parametric region of dipole-dipole interaction strength exists in which the maximal entanglement of two initially uncorrelated atoms is reduced. The transfer of entanglement shows obvious different behaviors in two initial Bell-like states.OCIS codes: 020.5580, 060.5565. doi: 10.3788/COL201210.100202.Entanglement, a unique feature of quantum mechanical systems with no classical analog, is a crucial resource for various aspects of quantum information processing [1] . Entanglement dynamics and entanglement control have recently attracted extensive studies, and various aspects of entanglement, especially multipartite entanglement and its evolution, require further exploration [2] . A peculiar aspect of entanglement dynamics is the well known "entanglement sudden death (ESD)" phenomenon. In the process of entanglement distribution and qubit manipulation, each qubit is unavoidably exposed to its own uncontrollable environment. This phenomenon leads to local decoherences that spoil the necessary entanglement. In previous studies, various types of environments were studied, such as fermionic symmetry-broken [3] , quantum critical [4] , dephasing [5] , multimode electromagnetic field [6,7] , and quantum spin environments [8] , among others.The evolution of open quantum systems is divided into the Markovian and non-Markovian regimes. For the Markovian regime, the correlation time between the system and environment is infinitesimally small such that the dynamical map has no memory effects and results in a monotonic flow of information from the system to the environment. In contrast, a non-Markovian regime with memory has dynamical traits that give rise to the backflow of information from the environment to the system and can lead to distinctly different effects on the decoherence and disentanglement of open systems compared with the Markovian regime [9,10] . Several studies are currently focused on the non-Markovian regime for its dynamical behaviors that differ significantly from those of the Markovian regime, including those involving nonMarkovianity [9,10] , positivity [11,12] , and several other dynamical properties and approaches.The dynamics of entanglement transfer in interacting and non-interacting systems has been extensively studied [13−15] . Conservation for entanglement depends on how qubits are initially correlated [16] . Zhang et al. focused on the case in which two atoms off-resonantly interact with their loose cavities and examined the complete entanglement transfer from the atoms to their independent reservoirs [14] . In this letter, we study a system consisting of two initially correlated two-level atoms A and B, each coupled with another atom C(D) interacting ...

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Entanglement dynamics and decoherence of three-qubit system in a fermionic environment

Cited by 25 publications

References 23 publications

Exact dynamics of a two-qubit system in a spin star environment

Exact dynamics of a two-qubit system in a spin star environment

Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs)

Dif ferent entanglement dynamics and transfer behaviors due to dipole-dipole interaction

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