Academic literature on the topic 'Non Markovian evolution'

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Journal articles on the topic "Non Markovian evolution"

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CHRUŚCIŃSKI, DARIUSZ, and ANDRZEJ KOSSAKOWSKI. "MARKOVIAN VERSUS NON-MARKOVIAN EVOLUTION: GEOMETRIC PERSPECTIVE." International Journal of Geometric Methods in Modern Physics 09, no. 02 (2012): 1260019. http://dx.doi.org/10.1142/s0219887812600195.

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We analyze two criteria of (non)Markovianity: one based on the mathematical concept of divisibility of the dynamical map and the other one based on distinguishability of quantum states. We illustrate these concepts from the geometric perspective using simple examples of qubit dynamics.
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Chruściński, D., and A. Kossakowski. "From Markovian semigroup to non-Markovian quantum evolution." EPL (Europhysics Letters) 97, no. 2 (2012): 20005. http://dx.doi.org/10.1209/0295-5075/97/20005.

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Chruściński, Dariusz. "Characterizing non-Markovian quantum evolution." Physica Scripta T153 (March 1, 2013): 014009. http://dx.doi.org/10.1088/0031-8949/2013/t153/014009.

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Costanza, G. "Non-Markovian stochastic evolution equations." Physica A: Statistical Mechanics and its Applications 402 (May 2014): 224–35. http://dx.doi.org/10.1016/j.physa.2014.01.038.

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Kumar, N. Pradeep, Subhashish Banerjee, R. Srikanth, Vinayak Jagadish, and Francesco Petruccione. "Non-Markovian Evolution: a Quantum Walk Perspective." Open Systems & Information Dynamics 25, no. 03 (2018): 1850014. http://dx.doi.org/10.1142/s1230161218500142.

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Quantum non-Markovianity of a quantum noisy channel is typically identified with information backflow or, more generally, with departure of the intermediate map from complete positivity. But here, we also indicate certain non-Markovian channels that cannot be witnessed by the CP-divisibility criterion. In complex systems, non-Markovianity becomes more involved on account of subsystem dynamics. Here we study various facets of non-Markovian evolution, in the context of coined quantum walks, with particular stress on disambiguating the internal vs. environmental contributions to non-Markovian bac
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Corn, Brittany, Jun Jing, and Ting Yu. "Non-Markovian quantum trajectroy unravellings of entanglement." Quantum Information and Computation 16, no. 5&6 (2016): 483–97. http://dx.doi.org/10.26421/qic16.5-6-5.

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The fully quantized model of double qubits coupled to a common bath is solved using the quantum state diffusion (QSD) approach in the non-Markovian regime. We have established the explicit time-local non-Markovian QSD equations for the two-qubit dissipative and dephasing models. Diffusive quantum trajectories are applied to the entanglement estimation of two-qubit systems in a non-Markovian regime. In both cases, non-Markovian features of entanglement evolution are revealed through quantum diffusive unravellings in the system state space.
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Kosiol, Carolin, and Nick Goldman. "Markovian and Non-Markovian Protein Sequence Evolution: Aggregated Markov Process Models." Journal of Molecular Biology 411, no. 4 (2011): 910–23. http://dx.doi.org/10.1016/j.jmb.2011.06.005.

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Yannouleas, C. "The time evolution in extended RPA: Markovian versus non-markovian aspects." Physics Letters B 157, no. 2-3 (1985): 129–33. http://dx.doi.org/10.1016/0370-2693(85)91531-x.

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Teretenkov, A. E. "Exact Non-Markovian Evolution with Several Reservoirs." Physics of Particles and Nuclei 51, no. 4 (2020): 479–84. http://dx.doi.org/10.1134/s1063779620040711.

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Yu, Ting, and J. H. Eberly. "Entanglement evolution in a non-Markovian environment." Optics Communications 283, no. 5 (2010): 676–80. http://dx.doi.org/10.1016/j.optcom.2009.10.042.

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Dissertations / Theses on the topic "Non Markovian evolution"

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Marrou, Osores Jean Paul. "Simulation of a non-Markovian evolution using coherence." Master's thesis, Pontificia Universidad Católica del Perú, 2019. http://hdl.handle.net/20.500.12404/14386.

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This thesis will be oriented in the study of open quantum systems. The transition of processes that go between the Markovian and non-Markovian regime will be studied. The diagnose of non-Markovianity will be made in terms of the variation of the coherence of the state. Accordingly, an optical setup will be implemented that allows us to manipulate certain degrees of freedom, like the polarization and the optical path. Theoretically, we have found that the coherence of the system is transferred to the environment and it decreases as we move a parameter that we will take as time. This situa
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Rizzato, Francesca. "Towards a deeper understanding of protein sequence evolution." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4904.

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Most bioinformatic analyses start by building sequence alignments by means of scoring matrices. An implicit approximation on which many scoring matrices are built is that protein sequence evolution is considered a sequence of Point Accepted Mutations (PAM) (Dayhoff et al., 1978), in which each substitution happens independently of the history of the sequence, namely with a probability that depends only on the initial and final amino acids. But different protein sites evolve at a different rate (Echave et al., 2016) and this feature, though included in many phylogenetic reconstruction algorithm
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De, Santis Dario. "Witnessing non-Markovian evolutions." Doctoral thesis, Universitat Politècnica de Catalunya, 2021. http://hdl.handle.net/10803/673539.

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The formulation of quantum physics stands among the most revolutionary theories of the twentieth century. During the first decades of this century, many phenomena concerning the microscopic world were unexplained or had ad-hoc descriptions. The theory of quantum physics introduced a framework that allowed predicting these phenomena with unprecedented precision. While quantum mechanics offered counter-intuitive explanations for these experimental results, it predicted unexpected quantum phenomena which were considered symptoms of an ill-defined theory. Decades passed and more and more empiric
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Book chapters on the topic "Non Markovian evolution"

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Chruściński, Dariusz. "Introduction to Non-Markovian Evolution of n-Level Quantum Systems." In Open Quantum Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13046-6_2.

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Haase, J. F., A. Smirne, and S. F. Huelga. "Non-monotonic Population and Coherence Evolution in Markovian Open-System Dynamics." In Springer Proceedings in Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31146-9_4.

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CHRUŚCIŃSKI, DARIUSZ, and ANDRZEJ KOSSAKOWSKI. "ON NON-MARKOVIAN QUANTUM EVOLUTION." In Quantum Bio-Informatics V. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814460026_0010.

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"Dynamics with a memory: non-Markovian evolution." In Gravitational Physics of Stellar and Galactic Systems. Cambridge University Press, 1985. http://dx.doi.org/10.1017/cbo9780511564239.009.

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Conference papers on the topic "Non Markovian evolution"

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KOSSAKOWSKI, ANDRZEJ, and ROLANDO REBOLLEDO. "ON NON-MARKOVIAN TIME EVOLUTION IN OPEN QUANTUM SYSTEMS." In Quantum Bio-Informatics — From Quantum Information to Bio-Informatics. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793171_0012.

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KOSSAKOWSKI, ANDRZEJ, and ROLANDO REBOLLEDO. "ON COMPLETELY POSITIVE NON-MARKOVIAN EVOLUTION OF A D-LEVEL SYSTEM." In Quantum Bio-Informatics II - From Quantum Information to Bio-Informatics. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814273756_0011.

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Goan, Hsi-Sheng. "Non-Markovian Reduced Dynamics and Entanglement Evolution of Central Spin Models in Quantum Spin Environments." In Workshop on Entanglement and Quantum Decoherence. Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.ed2.

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We discuss two central spin models coupled, respectively, to a quantum Heisenberg XY spin star environment [1] and to an antiferromagnetic environment [2]. In the first model [1], the exact quantum dynamics of the reduced density matrix of two coupled spin qubits in a quantum Heisenberg XY spin star environment in the thermodynamic limit at arbitrarily finite temperatures is obtained using a novel operator technique. In this approach, the transformed Hamiltonian becomes effectively Jaynes-Cumming like and thus the analysis is also relevant to cavity quantum electrodynamics. This special operat
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Anastopoulos, C., S. Shresta, and B. L. Hu. "Quantum Entanglement under Non-Markovian Dynamics of Two Qubits Interacting with a Common Electromagnetic Field*." In Workshop on Entanglement and Quantum Decoherence. Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.eoqs2.

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We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak coupling assumption, but no Born or Markov approximation. We derived a non-Markovian master equation for the evolution of the reduced density matrix of the two-qubit system after integrating out the electromagnetic field modes. It contains a Markovian part with a Lindblad type operator and a nonMarkovian contribution, the physics of which is the main focus of this
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Poiani, Riccardo, Andrea Tirinzoni, and Marcello Restelli. "Meta-Reinforcement Learning by Tracking Task Non-stationarity." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/399.

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Many real-world domains are subject to a structured non-stationarity which affects the agent's goals and the environmental dynamics. Meta-reinforcement learning (RL) has been shown successful for training agents that quickly adapt to related tasks. However, most of the existing meta-RL algorithms for non-stationary domains either make strong assumptions on the task generation process or require sampling from it at training time. In this paper, we propose a novel algorithm (TRIO) that optimizes for the future by explicitly tracking the task evolution through time. At training time, TRIO learns
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Caleyo, F., J. C. Vela´zquez, J. M. Hallen, A. Valor, and A. Esquivel-Amezcua. "Markov Chain Model Helps Predict Pitting Corrosion Depth and Rate in Underground Pipelines." In 2010 8th International Pipeline Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ipc2010-31351.

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A continuous-time, non-homogenous pure birth Markov chain serves to model external pitting corrosion in buried pipelines. The analytical solution of Kolmogorov’s forward equations for this type of Markov process gives the transition probability function in a discrete space of pit depths. The transition probability function can be completely identified by making a correlation between the stochastic pit depth mean and the deterministic mean obtained experimentally. Previously reported Monte Carlo simulations have been used for the prediction of the evolution of the pit depth distribution mean va
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Yang, Jianming, and Ping Yang. "Random Gear Dynamics Based on Path Integration Method." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85944.

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Gears exhibit vibrations during operation which contain apparently random components. Due to time-varying stiffness and backlash nonlinearity, it is very hard, if not impossible, to get a closed form response of gears under combination of deterministic and random loads. This paper employs a numerical method termed as path integration to obtain the probability density of the response at discrete time instants. The random excitation is assumed to be White noise. The response of the gear is a Markovian processes under the random excitation. In order to capture the probability density evolution, d
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