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A two-dimensional quantum walk driven by a single two-side coin

Chinese Physics B 2020年第11期29卷 92-98页

作者： Quan Lin Hao Qin Kun-Kun Wang Lei Xiao Peng Xue Beijing Computational Science Research Center Beijing 100084China Department of Physics Southeast UniversityNanjing 211189China

We study a two-dimensional quantum walk with only one walker alternatively walking along the horizontal and vertical directions driven by a single two-side *** find the analytical expressions of the first two moments of the walker’s position distribution in the long-time limit,which indicates that the variance of the position distribution grows quadratically with walking steps,showing a ballistic spreading typically for quantum ***,we analyze the correlation by calculating the quantum mutual information and the measurement-induced disturbance respectively as the outcome of the walk in one dimension is correlated to the other with the coin as a *** is shown that the quantum correlation between walker spaces increases gradually with the walking steps.

关键词： quantum walks quantum mutual information measurement-induced disturbance

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Effect of non-Markovianity on synchronization

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Communications in Theoretical Physics 2021年第10期73卷 81-89页

作者： Kun-Jie Zhou Jian Zou Bao-Ming Xu Lei Li Bin Shao School of Physics Beijing Institute of TechnologyBeijing 100081China Shandong Key Laboratory of Biophysics Institute of BiophysicsDezhou UniversityDezhou 253023China School of Physical Science and Technology Inner Mongolia UniversityHohhot 010021China

We investigate the transient spontaneous quantum synchronization between two qubits interacting with a common non-Markovian environment based on a collision *** are mainly interested in the effect of non-Markovianity on the synchronization between two *** find that the non-Markovianity always delay the anti-synchronization and decrease the parameter region where the qubits get ***,we define V to characterize the visibility of synchronization and show that there is an apparent link among V,entanglement and quantum mutual information whether in the Markovian or non-Markovian regimes when the environment is in the vacuum ***,with the increase of temperature,the parameter region of the emergence of anti-synchronization and the time to get anti-synchronized in the non-Markovian regime gradually approaches that in the Markovian *** high temperature decreases the parameter region of the emergence of anti-synchronization in both Markovian and non-Markovian regimes,and breaks the connection among V,entanglement and quantum mutual information.

关键词： quantum synchronization non-Markovianity entanglement quantum mutual information

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Total versus quantum correlations in a two-mode Gaussian state

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Communications in Theoretical Physics 2021年第5期73卷 38-45页

作者： Jamal EI Qars Department of Physics Faculty of Applied SciencesAit-MelloulIbn Zohr UniversityAgadirMorocco EPTHE Department of PhysicsFaculty of SciencesIbn Zohr UniversityAgadirMorocco LPHE-MS Department of PhysicsFaculty of SciencesMohammed V UniversityRabatMorocco

In Li and Luo(2007 ***.A 76032327),the inequality(1/2)T≥Q was identified as a fundamental postulate for a consistent theory of quantum versus classical correlations for arbitrary measures of total T and quantum Q correlations in bipartite quantum ***,Hayden et al(2006 ***.26595)have conjectured that,in some conditions within systems endowed with infinite-dimensional Hilbert spaces,quantum correlations may dominate not only half of total correlations but total correlations ***,in a two-mode Gaussian state,quantifying T and Q respectively by the quantum mutual information I~G and the entanglement of formation(EoF)ε_(F)^(G),we verify thatε_(F)^(G),is always less than(1/2)I_(R)^(G( when I~G andε_(F)^(G) are defined via the Rényi-2 *** via the von Neumann entropy,ε_(F,V)^(G),may even dominate I_(V)^(G) itself,which partly consolidates the Hayden conjecture,and partly,provides strong evidence hinting that the origin of this counterintuitive behavior should intrinsically be related to the von Neumann entropy by which the EoFε_(F,V)^(G),is defined,rather than related to the conceptual definition of the EoFε_(F).The obtained results show that—in the special case of mixed two-mode Gaussian states—quantum entanglement can be faithfully quantified by the Gaussian Rényi-2 EoFε_(F,R)^(G),.

关键词： entanglement von Neumann and Rényi-2 entropies quantum mutual information Gaussian states spontaneous emission laser

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