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Journal articles on the topic 'Non-Markovianity'

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1

Vacchini, Bassano, Andrea Smirne, Elsi-Mari Laine, Jyrki Piilo, and Heinz-Peter Breuer. "Markovianity and non-Markovianity in quantum and classical systems." New Journal of Physics 13, no. 9 (2011): 093004. http://dx.doi.org/10.1088/1367-2630/13/9/093004.

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2

Campbell, Steve, Maria Popovic, Dario Tamascelli, and Bassano Vacchini. "Precursors of non-Markovianity." New Journal of Physics 21, no. 5 (2019): 053036. http://dx.doi.org/10.1088/1367-2630/ab1ed6.

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3

Zhang, Jian-Song, and Ai-Xi Chen. "Non-Markovinity of single qubit channels: analytical and numerical methods." Canadian Journal of Physics 92, no. 3 (2014): 230–35. http://dx.doi.org/10.1139/cjp-2013-0276.

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We propose methods to calculate non-Markovianity of four typical single qubit channels including flip (bit-flip, phase-flip, and bit-phase flip channels), depolarizing, phase damping, and amplitude damping channels analytically. Explicit expressions of non-Markovianity for some single qubit channels are obtained. For general channels we propose the Euler parametrization representation of quantum states to calculate non-Markovianity numerically.
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4

Benatti, Fabio, and Luigi Brancati. "Quasi-Entropies and Non-Markovianity." Entropy 21, no. 10 (2019): 1020. http://dx.doi.org/10.3390/e21101020.

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We address an informational puzzle that appears with a non-Markovian open qubit dynamics: namely the fact that, while, according to the existing witnesses of information flows, a single qubit affected by that dissipative dynamics does not show information returning to it from its environment, instead two qubits do show such information when evolving independently under the same dynamics. We solve the puzzle by adding the so-called quasi-entropies to the possible witnesses of information flows.
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5

Luoma, Kimmo, and Jyrki Piilo. "Discrete dynamics and non-Markovianity." Journal of Physics B: Atomic, Molecular and Optical Physics 49, no. 12 (2016): 125501. http://dx.doi.org/10.1088/0953-4075/49/12/125501.

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6

Zhang, X. Y., X. L. Huang, and X. X. Yi. "Enhancement of non-Markovianity by interference of two reservoirs." International Journal of Quantum Information 13, no. 06 (2015): 1550048. http://dx.doi.org/10.1142/s0219749915500483.

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We study the effect of the interference between two independent non-Markovian reservoirs on the non-Markovianity of a two-level system. We find that the interference can enhance the non-Markovianity of the system. The additive master equation (ME) is invalid even if only one of the two reservoirs is non-Markovian, while it is a good approximation when all reservoirs are Markovian. We also derive the two states uniqueness for a two-level system coupled to structured reservoirs which maximize the measure of non-Markovianity defined by Breuer et al. [Phys. Rev. Lett. 103 (2009) 210401].
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7

Dijkstra, Arend G., and Yoshitaka Tanimura. "Non-Markovianity: initial correlations and nonlinear optical measurements." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1972 (2012): 3658–71. http://dx.doi.org/10.1098/rsta.2011.0203.

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By extending the response function approach developed in nonlinear optics, we analytically derive an expression for the non-Markovianity in the time evolution of a system in contact with a quantum mechanical bath, and find a close connection with the directly observable nonlinear optical response. The result indicates that memory in the bath-induced fluctuations rather than in the dissipation causes non-Markovianity. Initial correlations between states of the system and the bath are shown to be essential for a correct understanding of the non-Markovianity. These correlations are included in ou
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8

Yazaki, Tomoaki, Kiyoshi Kobayashi, and Akira Ishikawa. "Quantum non-Markovian dynamics controlled by a local nanoprobe in nanosystems coupled via optical near fields." Japanese Journal of Applied Physics 60, no. 12 (2021): 122008. http://dx.doi.org/10.35848/1347-4065/ac3523.

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Abstract The optical near field originates from the non-Markovianity of quantum coherent dynamics due to the light–matter interaction. To observe the optical near field localized near the surface of a nanomaterial, a local nanoprobe must be in close proximity, and the effect of the local nanoprobe cannot be ignored. Therefore, we elucidate the effect of the local nanoprobe on the non-Markovianity of the optical-near-field interaction, estimating the trace distance between the density matrices in the non-Markovian and Markovian cases and its integration as a quantitative measure of the non-Mark
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9

Kurt, Arzu. "Interplay between Non-Markovianity of Noise and Dynamics in Quantum Systems." Entropy 25, no. 3 (2023): 501. http://dx.doi.org/10.3390/e25030501.

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The non-Markovianity of open quantum system dynamics is often associated with the bidirectional interchange of information between the system and its environment, and it is thought to be a resource for various quantum information tasks. We have investigated the non-Markovianity of the dynamics of a two-state system driven by continuous time random walk-type noise, which can be Markovian or non-Markovian depending on its residence time distribution parameters. Exact analytical expressions for the distinguishability as well as the trace distance and entropy-based non-Markovianity measures are ob
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10

Milz, Simon, Felix A. Pollock, Thao P. Le, Giulio Chiribella, and Kavan Modi. "Entanglement, non-Markovianity, and causal non-separability." New Journal of Physics 20, no. 3 (2018): 033033. http://dx.doi.org/10.1088/1367-2630/aaafee.

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11

Haikka, P., and S. Maniscalco. "Non-Markovian Quantum Probes." Open Systems & Information Dynamics 21, no. 01n02 (2014): 1440005. http://dx.doi.org/10.1142/s1230161214400058.

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We review the most recent developments in the theory of open quantum systems focusing on situations in which the reservoir memory effects, due to long-lasting and non-negligible correlations between system and environment, play a crucial role. These systems are often referred to as non-Markovian systems. After a brief summary of different measures of non-Markovianity that have been introduced over the last few years we restrict our analysis to the investigation of information flow between system and environment. Within this framework we introduce an important application of non-Markovianity, n
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12

Nokkala, Johannes, Sabrina Maniscalco, and Jyrki Piilo. "Non-Markovianity over Ensemble Averages in Quantum Complex Networks." Open Systems & Information Dynamics 24, no. 04 (2017): 1740018. http://dx.doi.org/10.1142/s1230161217400182.

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We consider bosonic quantum complex networks as structured finite environments for a quantum harmonic oscillator and investigate the interplay between the network structure and its spectral density, excitation transport properties and non-Markovianity. After a review of the formalism used, we demonstrate how even small changes to the network structure can have a large impact on the transport of excitations. We then consider the non-Markovianity over ensemble averages of several different types of random networks of identical oscillators and uniform coupling strength. Our results show that incr
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13

Rossi, Matteo A. C., Claudia Benedetti, Dario Tamascelli, et al. "Non-Markovianity by undersampling in quantum optical simulators." International Journal of Quantum Information 15, no. 08 (2017): 1740009. http://dx.doi.org/10.1142/s0219749917400093.

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We unveil a novel source of non-Markovianity for the dynamics of quantum systems, which appears when the system does not explore the full set of dynamical trajectories in the interaction with its environment. We term this effect non-Markovianity by undersampling and demonstrate its appearance in the operation of an all-optical quantum simulator involving a polarization qubit interacting with a dephasing fluctuating environment.
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14

Zhou, Kun-Jie, Jian Zou, Bao-Ming Xu, Lei Li, and Bin Shao. "Effect of non-Markovianity on synchronization." Communications in Theoretical Physics 73, no. 10 (2021): 105101. http://dx.doi.org/10.1088/1572-9494/ac14b0.

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15

Maity, Ananda G., Samyadeb Bhattacharya, and A. S. Majumdar. "Detecting non-Markovianity via uncertainty relations." Journal of Physics A: Mathematical and Theoretical 53, no. 17 (2020): 175301. http://dx.doi.org/10.1088/1751-8121/ab7135.

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16

Bhattacharya, Samyadeb, Bihalan Bhattacharya, and A. S. Majumdar. "Convex resource theory of non-Markovianity." Journal of Physics A: Mathematical and Theoretical 54, no. 3 (2020): 035302. http://dx.doi.org/10.1088/1751-8121/abd191.

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17

Kukita, Shingo, Yasushi Kondo, and Mikio Nakahara. "Controllable non-Markovianity in phase relaxation." New Journal of Physics 22, no. 10 (2020): 103048. http://dx.doi.org/10.1088/1367-2630/abbfcf.

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18

Haikka, P., S. McEndoo, G. De Chiara, G. M. Palma, and S. Maniscalco. "Robust non-Markovianity in ultracold gases." Physica Scripta T151 (November 1, 2012): 014060. http://dx.doi.org/10.1088/0031-8949/2012/t151/014060.

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19

Shaukat, Muzzamal Iqbal, Amrozia Shaheen, and A. H. Toor. "Early stage disentanglement and non-Markovianity." Journal of Modern Optics 60, no. 21 (2013): 1937–48. http://dx.doi.org/10.1080/09500340.2013.868056.

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20

Siudzińska, Katarzyna. "Non-Markovianity of geometrical qudit decoherence." Reports on Mathematical Physics 80, no. 3 (2017): 361–72. http://dx.doi.org/10.1016/s0034-4877(18)30007-7.

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21

Megier, Nina, Manuel Ponzi, Andrea Smirne, and Bassano Vacchini. "Memory Effects in Quantum Dynamics Modelled by Quantum Renewal Processes." Entropy 23, no. 7 (2021): 905. http://dx.doi.org/10.3390/e23070905.

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Simple, controllable models play an important role in learning how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class of quantum dynamics provides us with a phenomenological approach to characterise dynamics with a variety of non-Markovian behaviours, here described in terms of the trace distance between two reduced states. By adopting a trajectory picture for the open quantum system evolution, we analyse how non-Markovianity is influenced by the constituents defining th
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22

Mahdavipour, Kobra, Mahshid Khazaei Shadfar, Hossein Rangani Jahromi, Roberto Morandotti, and Rosario Lo Franco. "Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness." Entropy 24, no. 3 (2022): 395. http://dx.doi.org/10.3390/e24030395.

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A witness of non-Markovianity based on the Hilbert–Schmidt speed (HSS), a special type of quantum statistical speed, has been recently introduced for low-dimensional quantum systems. Such a non-Markovianity witness is particularly useful, being easily computable since no diagonalization of the system density matrix is required. We investigate the sensitivity of this HSS-based witness to detect non-Markovianity in various high-dimensional and multipartite open quantum systems with finite Hilbert spaces. We find that the time behaviors of the HSS-based witness are always in agreement with those
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23

CHEN, L., H. X. MENG, H. X. CAO, Y. F. HUANG, and Y. YANG. "A NOTE ON MARKOVIAN QUANTUM DYNAMICS." ANZIAM Journal 58, no. 3-4 (2017): 436–45. http://dx.doi.org/10.1017/s1446181117000207.

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Based on the definition of divisibility of Markovian quantum dynamics, we discuss the Markovianity of tensor products, multiplications and some convex combinations of Markovian quantum dynamics. We prove that the tensor product of two Markovian dynamics is also a Markovian dynamics and propose a new witness of non-Markovianity.
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24

Breuer, Heinz-Peter. "Foundations and measures of quantum non-Markovianity." Journal of Physics B: Atomic, Molecular and Optical Physics 45, no. 15 (2012): 154001. http://dx.doi.org/10.1088/0953-4075/45/15/154001.

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25

Thilagam, A. "Non-Markovianity during the quantum Zeno effect." Journal of Chemical Physics 138, no. 17 (2013): 175102. http://dx.doi.org/10.1063/1.4802785.

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26

Addis, Carole, Francesco Ciccarello, Michele Cascio, G. Massimo Palma, and Sabrina Maniscalco. "Dynamical decoupling efficiency versus quantum non-Markovianity." New Journal of Physics 17, no. 12 (2015): 123004. http://dx.doi.org/10.1088/1367-2630/17/12/123004.

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27

Zuo, Wei, Xiao-Qing Qian, and Xian-Ting Liang. "Comparisons of different witnesses of non-Markovianity." Physica A: Statistical Mechanics and its Applications 465 (January 2017): 552–61. http://dx.doi.org/10.1016/j.physa.2016.08.058.

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28

Li, Li, Michael J. W. Hall, and Howard M. Wiseman. "Concepts of quantum non-Markovianity: A hierarchy." Physics Reports 759 (October 2018): 1–51. http://dx.doi.org/10.1016/j.physrep.2018.07.001.

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29

Rivas, Ángel, Susana F. Huelga, and Martin B. Plenio. "Quantum non-Markovianity: characterization, quantification and detection." Reports on Progress in Physics 77, no. 9 (2014): 094001. http://dx.doi.org/10.1088/0034-4885/77/9/094001.

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30

Fan, Yajing, Liang Chen, Huaixin Cao, and Huixian Meng. "Quantum Non-Markovianity via the Covariance Matrix." International Journal of Theoretical Physics 57, no. 9 (2018): 2722–37. http://dx.doi.org/10.1007/s10773-018-3793-4.

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31

Lorenzo, Salvatore, Francesco Ciccarello, and G. Massimo Palma. "Non-Markovian dynamics from band edge effects and static disorder." International Journal of Quantum Information 15, no. 08 (2017): 1740026. http://dx.doi.org/10.1142/s0219749917400263.

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It was recently shown [S. Lorenzo, F. Lombardo, F. Ciccarello and M. Palma, Sci. Rep. 7 (2017) 42729] that the presence of static disorder in a bosonic bath — whose normal modes thus become all Anderson-localized — leads to non-Markovianity in the emission of an atom weakly coupled to it (a process which in absence of disorder is fully Markovian). Here, we extend the above analysis beyond the weak-coupling regime for a finite-band bath so as to account for band edge effects. We study the interplay of these with static disorder in the emergence of non-Markovian behavior in terms of a suitable n
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32

Han, Liping, Jian Zou, Hai Li, and Bin Shao. "Non-Markovianity of a Central Spin Interacting with a Lipkin–Meshkov–Glick Bath via a Conditional Past–Future Correlation." Entropy 22, no. 8 (2020): 895. http://dx.doi.org/10.3390/e22080895.

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Based on conditional past–future (CPF) correlations, we study the non-Markovianity of a central spin coupled to an isotropic Lipkin–Meshkov–Glick (LMG) bath. Although the dynamics of a system is always non-Markovian, it is found that some measurement time intervals considering a specific process, with respect to a particular set of CPF measurement operators, can be zero, which means that in this case the non-Markovianity of the system could not be detected. Furthermore, the initial system–bath correlations only slightly influence the non-Markovianity of the system in our model. Significantly,
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33

Benatti, Fabio, Roberto Floreanini, and Stefano Olivares. "Non-divisibility and non-Markovianity in a Gaussian dissipative dynamics." Physics Letters A 376, no. 45 (2012): 2951–54. http://dx.doi.org/10.1016/j.physleta.2012.08.044.

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34

Luo, Yu, and Yongming Li. "Quantifying quantum non-Markovianity via max-relative entropy." Chinese Physics B 28, no. 4 (2019): 040301. http://dx.doi.org/10.1088/1674-1056/28/4/040301.

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35

Breuer, Heinz-Peter, Giulio Amato, and Bassano Vacchini. "Mixing-induced quantum non-Markovianity and information flow." New Journal of Physics 20, no. 4 (2018): 043007. http://dx.doi.org/10.1088/1367-2630/aab2f9.

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36

Hinarejos, Margarida, Mari-Carmen Bañuls, Armando Pérez, and Inés de Vega. "Non-Markovianity and memory of the initial state." Journal of Physics A: Mathematical and Theoretical 50, no. 33 (2017): 335301. http://dx.doi.org/10.1088/1751-8121/aa7972.

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37

Kurt, Arzu, and Resul Eryigit. "Noise-induced non-Markovianity." Physical Review A 98, no. 4 (2018). http://dx.doi.org/10.1103/physreva.98.042125.

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38

Chen, Xin-Yu, Na-Na Zhang, Wan-Ting He, et al. "Global correlation and local information flows in controllable non-Markovian open quantum dynamics." npj Quantum Information 8, no. 1 (2022). http://dx.doi.org/10.1038/s41534-022-00537-z.

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AbstractIn a fully-controllable experiment platform for studying non-Markovian open quantum dynamics, we show that the non-Markovianity could be investigated from the global and local aspects. By mixing random unitary dynamics, we demonstrate non-Markovian and Markovian open quantum dynamics. From the global point of view, by tuning the base frequency we demonstrate the transition from the Markovianity to the non-Markovianity as measured by the quantum mutual information (QMI). In a Markovian open quantum process, the QMI decays monotonically, while it may rise temporarily in a non-Markovian p
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39

Guo, Chu. "Quantifying Non-Markovianity in Open Quantum Dynamics." SciPost Physics 13, no. 2 (2022). http://dx.doi.org/10.21468/scipostphys.13.2.028.

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Characterization of non-Markovian open quantum dynamics is both of theoretical and practical relevance. In a seminal work [Phys. Rev. Lett. 120, 040405 (2018)], a necessary and sufficient quantum Markov condition is proposed, with a clear operational interpretation and correspondence with the classical limit. Here we propose two non-Markovianity measures for general open quantum dynamics, which are fully reconciled with the Markovian limit and can be efficiently calculated based on the multi-time quantum measurements of the system. A heuristic algorithm for reconstructing the underlying open q
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40

Li, Haiping, Jian Zou, and Bin Shao. "Enhanced quantumness via non-Markovianity." Physical Review A 104, no. 5 (2021). http://dx.doi.org/10.1103/physreva.104.052201.

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41

Su, Kaixiang, Pengfei Zhang, and Hui Zhai. "Page curve from non-Markovianity." Journal of High Energy Physics 2021, no. 6 (2021). http://dx.doi.org/10.1007/jhep06(2021)156.

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Abstract In this paper, we use the exactly solvable Sachdev-Ye-Kitaev model to address the issue of entropy dynamics when an interacting quantum system is coupled to a non-Markovian environment. We find that at the initial stage, the entropy always increases linearly matching the Markovian result. When the system thermalizes with the environment at a sufficiently long time, if the environment temperature is low and the coupling between system and environment is weak, then the total thermal entropy is low and the entanglement between system and environment is also weak, which yields a small sys
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42

Luo, Shunlong, Shuangshuang Fu, and Hongting Song. "Quantifying non-Markovianity via correlations." Physical Review A 86, no. 4 (2012). http://dx.doi.org/10.1103/physreva.86.044101.

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43

Lorenzo, Salvatore, Francesco Plastina, and Mauro Paternostro. "Geometrical characterization of non-Markovianity." Physical Review A 88, no. 2 (2013). http://dx.doi.org/10.1103/physreva.88.020102.

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44

Pineda, Carlos, Thomas Gorin, David Davalos, Diego A. Wisniacki, and Ignacio García-Mata. "Measuring and using non-Markovianity." Physical Review A 93, no. 2 (2016). http://dx.doi.org/10.1103/physreva.93.022117.

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45

Fanchini, F. F., G. Karpat, B. Çakmak, et al. "Non-Markovianity through Accessible Information." Physical Review Letters 112, no. 21 (2014). http://dx.doi.org/10.1103/physrevlett.112.210402.

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46

Torre, G., W. Roga, and F. Illuminati. "Non-Markovianity of Gaussian Channels." Physical Review Letters 115, no. 7 (2015). http://dx.doi.org/10.1103/physrevlett.115.070401.

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47

Bylicka, Bogna, Mikko Tukiainen, Dariusz Chruściński, Jyrki Piilo, and Sabrina Maniscalco. "Thermodynamic power of non-Markovianity." Scientific Reports 6, no. 1 (2016). http://dx.doi.org/10.1038/srep27989.

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48

Davalos, David, and Carlos Pineda. "Quantum non-Markovianity and localization." Physical Review A 96, no. 6 (2017). http://dx.doi.org/10.1103/physreva.96.062127.

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49

Galve, Fernando, Roberta Zambrini, and Sabrina Maniscalco. "Non-Markovianity hinders Quantum Darwinism." Scientific Reports 6, no. 1 (2016). http://dx.doi.org/10.1038/srep19607.

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50

Vaishy, Ankit, Subhadip Mitra, and Samyadeb Bhattacharya. "Detecting genuine multipartite entanglement in 3-qubit systems with eternalnon-Markovianity." Journal of Physics A: Mathematical and Theoretical, April 14, 2022. http://dx.doi.org/10.1088/1751-8121/ac677e.

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Abstract We devise a novel protocol to detect genuinely multipartite entangled states by harnessing quantum non-Markovian operations. We utilize a particular type of non-Markovianity known as the eternal non- Markovianity to construct a non-complete positive map to filter out the bi-separable states and detect genuine multipartite entanglement. We further propose a witness operator to detect genuinely mul- tipartite entangled states experimentally based on this theory. Our study sheds light on a hitherto unexplored connection between entanglement theory and quantum non-Markovianity.
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