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A measure of quantum non-Markovianity for an open system dynamics, based on revivals of the distinguishability between system states, has been introduced in the literature using the trace distance as quantifier for distinguishability.…

量子物理 · 物理学 2018-07-25 Giulio Amato , Heinz-Peter Breuer , Bassano Vacchini

We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the…

量子物理 · 物理学 2010-01-05 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo

We establish a direct connection of quantum Markovianity of an open quantum system to its classical counterpart by generalizing the criterion based on the information flow. Here, the flow is characterized by the time evolution of Helstrom…

量子物理 · 物理学 2015-10-28 Steffen Wißmann , Bassano Vacchini , Heinz-Peter Breuer

Based on the nonincreasing property of quantum coherence via skew information under incoherent completely positive and trace-preserving maps, we propose a non-Markovianity measure for open quantum processes. As applications, by applying the…

量子物理 · 物理学 2020-01-08 Lian-He Shao , Yu-Ran Zhang , Yu Luo , Zhengjun Xi , Shao-Ming Fei

We investigate measures of non-Markovianity in open quantum systems governed by Gaussian free fermionic dynamics. Standard indicators of non-Markovian behavior, such as the BLP and LFS measures, are revisited in this context. We show that…

量子物理 · 物理学 2025-10-01 Giuliano Chiriacò

We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain of interacting qubits with one end coupled to a reservoir. The NM of several non-Markovian spectral densities is assessed in terms of various quantum state…

量子物理 · 物理学 2023-08-09 G. Mouloudakis , I. Stergou , P. Lambropoulos

Recently, a measure for the non-Markovian behavior of quantum processes in open systems has been developed which is based on the quantification of the flow of information between the open system and its environment [Phys. Rev. Lett. 103,…

量子物理 · 物理学 2015-05-18 Elsi-Mari Laine , Jyrki Piilo , Heinz-Peter Breuer

In this paper we present a detailed critical study of several recently proposed non-Markovianity measures. We analyse their properties for single qubit and two-qubit systems in both pure-dephasing and dissipative scenarios. More…

量子物理 · 物理学 2016-09-20 C. Addis , B. Bylicka , D. Chruściński , S. Maniscalco

We introduce a non-Markovianity measure for continuous variable open quantum systems based on the idea put forward in H.-P. Breuer et al., Phys. Rev. Lett.\textbf{103}, 210401 (2009), i.e., by quantifying the flow of information from the…

One of the most important topics in the study of the dynamics of open quantum system is information exchange between system and environment. Based on the features of a back-flow information from an environment to a system, an approach is…

量子物理 · 物理学 2015-09-23 S. Haseli , S. Salimi , A. S. Khorashad

The quantification and characterization of non-Markovian dynamics in quantum systems is an essential endeavor both for the theory of open quantum systems and for a deeper understanding of the effects of non-Markovian noise on quantum…

量子物理 · 物理学 2019-05-28 Namit Anand , Todd A. Brun

We introduce a method of characterization of non-Markovianity using coherence of a system interacting with the environment. We show that under the allowed incoherent operations, monotonicity of a valid coherence measure is affected due to…

量子物理 · 物理学 2016-11-28 Titas Chanda , Samyadeb Bhattacharya

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…

量子物理 · 物理学 2022-08-24 Chu Guo

Identifying non-Markovianity with non-divisibility, we propose a measure for non-Markovinity of quantum process. Three examples are presented to illustrate the non-Markovianity, measure for non-Markovianity is calculated and discussed.…

量子物理 · 物理学 2015-05-27 S. C. Hou , X. X. Yi , S. X. Yu , C. H. Oh

We introduce a generalized approach to characterize the non-Markovianity of quantum dynamical maps via breakdown of monotonicity of thermodynamic functions. By adopting an entropy-based formulation of quantum thermodynamics, we use the…

量子物理 · 物理学 2023-03-28 J. M. Z. Choquehuanca , F. M. de Paula , M. S. Sarandy

Non-Markovian evolution in open quantum systems is often characterized in terms of the backflow of information from environment to system and is thus an important facet in investigating the performance and robustness of quantum information…

量子物理 · 物理学 2015-03-24 Himadri Shekhar Dhar , Manabendra Nath Bera , Gerardo Adesso

In the last years, the application of machine learning methods has become increasingly relevant in different fields of physics. One of the most significant subjects in the theory of open quantum systems is the study of the characterization…

We investigate the conditions under which the trace distance between two different states of a given open system increases in time due to the interaction with an environment, therefore signalling non-Markovianity. We find that the…

量子物理 · 物理学 2013-06-12 Andrea Smirne , Laura Mazzola , Mauro Paternostro , Bassano Vacchini

We analyze two recently proposed measures of non-Markovianity: one based on the concept of divisibility of the dynamical map and the other one based on distinguishability of quantum states. We provide a toy model to show that these two…

量子物理 · 物理学 2011-06-03 Dariusz Chruściński , Andrzej Kossakowski , Ángel Rivas

Quantum discord is a manifestation of quantum correlations due to non-commutativity rather than entanglement. Two measures of quantum discord by the amount of non-commutativity via the trace norm and the Hilbert-Schmidt norm respectively…

量子物理 · 物理学 2016-05-03 Yu Guo
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