Speedup of quantum evolution of multiqubit entanglement states

Zhang, Ying-Jie; Wang, Han; Xia, Yun‐Jie; Tian, Jianxiang; Fan, Heng

doi:10.1038/srep27349

Cited by 12 publications

(5 citation statements)

References 52 publications

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“…In the weak-coupling regime between qubit and first-layer environment, the speedup dynamics behavior of the quantum system can be realized by controlling the hierarchical environment [39]. Furthermore, the potential speedup of quantum evolution of a given N-qubit entangled state can be also achieved by controlling the number of independent amplitudedamping channels [40].…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamical speedup in correlated noisy channels

Zhang

Liu

2019

Phys. Rev. A

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The maximal evolution speed of a quantum system can be represented by quantum speed limit time (QSLT). We investigate QSLT of a two-qubit system passing through a correlated channel (amplitude damping, phase damping, and depolarizing). By adjusting the correlation parameter of channel and the initial entanglement, a method to accelerate the evolution speed of the system for some specific channels is proposed. It is shown that, in amplitude damping channel and depolarizing channel, QSLT may be shortened in some cases by increasing correlation parameter of the channel and initial entanglement, which are in sharp contrast to phase damping channel. In particular, under depolarizing channels, the transition from no-speedup evolution to speedup evolution for the system can be realized by changing correlation strength of the channel.

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Section: Introductionmentioning

confidence: 99%

Quantum dynamical speedup in correlated noisy channels

Zhang

Liu

2019

Phys. Rev. A

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“…Utilizing the Bures angle, Deffner and Lutz arrived a unified QSL bound for initial pure state, and showed that non-Markovian effects could speed up the quantum evolution [22]. Other forms of QSL in open system were also reported, such as the QSL in different environments [23][24][25][26][27][28][29], the initialstate dependence [30], the geometric form for Wigner phase space [31], the experimentally realizable metric [32]. In addition, many other aspects of QSL were also widely studied such as using the fidelity [33,34] and function of relative purity [35,36], the mechanism for quantum speedup [37], the connection with generation of quantumness [38], generalization of geometric QSL form [39], via gauge invariant distance [40], even the QSL for almost all states [41], and so on.…”

Section: Introductionmentioning

confidence: 99%

Quantum speed limit based on the bound of Bures angle

2020

Sci Rep

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In this paper, we investigate the unified bound of quantum speed limit time in open systems based on the modified Bures angle. This bound is applied to the damped Jaynes-Cummings model and the dephasing model, and the analytical quantum speed limit time is obtained for both models. As an example, the maximum coherent qubit state with white noise is chosen as the initial states for the damped Jaynes-Cummings model. It is found that the quantum speed limit time in both the non-Markovian and the Markovian regimes can be decreased by the white noise compared with the pure state. In addition, for the dephasing model, we find that the quantum speed limit time is not only related to the coherence of initial state and non-Markovianity, but also dependent on the population of initial excited state.

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“…A particularly interesting vein in the problem of states that evolve into a distinguishable one, was revealed by Giovanetti et al [15,16] who showed that when bipartite quantum systems are considered, entanglement can speed up the evolution toward orthogonality. The relation between entanglement and the speed of evolution has been analyzed in relation with the brachistochrone problem [17][18][19][20], in N-qubit [21][22][23][24], two-qubit [25][26][27][28][29] and two-qutrit systems [30], and also in relation with entanglement measures [31]. A common feature of these works (except [18,27]) is that they focus only on systems composed of distinguishable constituents.…”

Section: Introductionmentioning

confidence: 99%

Speed of evolution in entangled fermionic systems

J¹,

Valdés-Hernández²

2022

J. Phys. A: Math. Theor.

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We consider the simplest identical-fermion system that exhibits the phenomenon of entanglement (beyond exchange correlations) to analyze its speed of evolution towards an orthogonal state, and revisit the relation between this latter and the amount of fermionic entanglement. A characterization of the quantum speed limit and the orthogonality times is performed, throwing light into the general structure of the faster and the slower states. Such characterization holds not only for fermionic composites, but apply more generally to a wide family of 6-dimensional states, irrespective of the speciﬁc nature of the system. Further, it is shown that the connection between speed of evolution and entanglement in the fermionic system, though more subtle than in composites of distinguishable parties, may indeed manifest for certain classes of states.

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Speedup of quantum evolution of multiqubit entanglement states

Cited by 12 publications

References 52 publications

Quantum dynamical speedup in correlated noisy channels

Quantum dynamical speedup in correlated noisy channels

Quantum speed limit based on the bound of Bures angle

Speed of evolution in entangled fermionic systems

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