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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…

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

The non-Markovianity is a prominent concept of the dynamics of the open quantum systems, which is of fundamental importance in quantum mechanics and quantum information. Despite of lots of efforts, the experimentally measuring of…

量子物理 · 物理学 2015-06-23 S. -J. Dong , B. -H. Liu , Y. -N. Sun , Y. -J. Han , G. -C. Guo , Lixin He

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

We investigate non-Markovianity measure using two-time correlation functions for open quantum systems. We define non-Markovianity measure as the difference between the exact two-time correlation function and the one obtained in the Markov…

量子物理 · 物理学 2015-12-09 Md. Manirul Ali , Ping-Yuan Lo , Matisse Wei-Yuan Tu , Wei-Min Zhang

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 analyze and compare different measures for the degree of non-Markovianity in the dynamics of open quantum systems. These measures are based on the distinguishability of quantum states which is quantified, on the one hand, by the trace…

量子物理 · 物理学 2022-10-25 Federico Settimo , Heinz-Peter Breuer , Bassano Vacchini

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

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 study the non-Markovianity of the dynamics of open quantum systems focusing on the cases of independent and common environmental interactions. We investigate the degree of non-Markovianity quantified by two distinct measures proposed by…

量子物理 · 物理学 2013-08-22 Felipe F. Fanchini , Goktug Karpat , Leonardo K. Castelano , Daniel Z. Rossatto

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

量子物理 · 物理学 2012-08-09 Heinz-Peter Breuer

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

We study the open dynamics of a quantum two-level system coupled to an environment modeled by random matrices. Using the quantum channel formalism, we investigate different quantum Markovianity measures and criteria. A thorough analysis of…

量子物理 · 物理学 2019-10-30 M. Carrera , T. Gorin , C. Pineda

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

In 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…

量子物理 · 物理学 2022-08-12 Xin-Yu Chen , Na-Na Zhang , Wan-Ting He , Xiang-Yu Kong , Ming-Jie Tao , Fu-Guo Deng , Qing Ai , Gui-Lu Long

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

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

Characterizing non-Markovianity in open quantum systems (OQSs) is gaining increasing attention due to its profound implications for quantum information processing. This phenomenon arises from the system's evolution being influenced by its…

量子物理 · 物理学 2025-07-16 Yassine Dakir , Abdallah Slaoui , Lalla Btissam Drissi , Rachid Ahl Laamara

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

We investigate the non-Markovianity of continuous variable Gaussian quantum channels through the evolution of an operational metrological quantifier, namely the Gaussian interferometric power, which captures the minimal precision that can…

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