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We study the exact entanglement dynamics of two qubits interacting with a common zero-temperature non-Markovian reservoir. We consider the two qubits initially prepared in Bell-like states or extended Werner-like states. We study the…

量子物理 · 物理学 2015-05-13 L. Mazzola , S. Maniscalco , J. Piilo , K. -A. Suominen

Mixing dynamical maps describing open quantum systems can lead from Markovian to non-Markovian processes. Being surprising and counter-intuitive, this result has been used as argument against characterization of non-Markovianity in terms of…

量子物理 · 物理学 2018-05-09 Heinz-Peter Breuer , Giulio Amato , Bassano Vacchini

The rate of the trace distance is used to evaluate quantum speed-up for arbitrary mixed states. Compared with some present methods, the approach based on trace distance can provide an optimal bound to the speed of the evolution. The…

量子物理 · 物理学 2016-11-04 Xiang Hao , Wenjiong Wu

Physical transformations are described by linear maps that are completely positive and trace preserving (CPTP). However, maps that are positive (P) but not completely positive (CP) are instrumental to derive separability/entanglement…

量子物理 · 物理学 2023-01-10 Maciej Lewenstein , Guillem Müller-Rigat , Jordi Tura , Anna Sanpera

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a…

量子物理 · 物理学 2015-05-27 Aurelian Isar

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

量子物理 · 物理学 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

The requirement of complete positivity is very often regarded as a fundamental consistency condition for the description of open quantum dynamics. We critically examine this requirement and discuss both its physical motivations and its…

量子物理 · 物理学 2026-05-19 Fabio Benatti , Dariusz Chruściński , Saverio Pascazio

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

Completely positive trace preserving maps are widely used in quantum information theory. These are mostly studied using the master equation perspective. A central part in this theory is to study whether a given system of dynamical maps…

泛函分析 · 数学 2026-02-06 Bihalan Bhattacharya , Uwe Franz , Saikat Patra , Ritabrata Sengupta

The evolution of a quantum system interacting with an environment can be described as a unitary process acting on both the system and the environment. In this framework, the system's evolution can be predicted by tracing out the…

We provide further characterization of non-Markovian quantum dynamics based on the concept of divisible dynamical maps. In analogy to entanglement witness we propose a non-Markovianity witness and introduce the corresponding measure of…

量子物理 · 物理学 2014-02-26 Dariusz Chruściński , Andrzej Kossakowski

We give the map representing the evolution of a qubit under the action of non-dissipative random external fields. From this map we construct the corresponding master equation that in turn allows us to phenomenologically introduce population…

量子物理 · 物理学 2015-06-11 Maria Mannone , Rosario Lo Franco , Giuseppe Compagno

We investigate a two-qubit quantum system in contact with an environment modeled by a microscopic collision model with added ancilla-ancilla collisions in the non-Markovian regime. Two schemes of the two-qubit collision model with…

量子物理 · 物理学 2025-07-03 Jai Lalita , Subhashish Banerjee

Given that any subsystem of a closed out-of-equilibrium quantum system is an open quantum system, its dynamics (reduced from the full system's unitary evolution) can be either Markovian (memory-less) or non-Markovian, with the latter…

量子物理 · 物理学 2026-05-01 Aditya Banerjee

The problem of conditions on the initial correlations between the system and the environment that lead to completely positive (CP) or not-completely positive (NCP) maps has been studied by various authors. Two lines of study may be…

量子物理 · 物理学 2021-04-16 Vinayak Jagadish , R. Srikanth , Francesco Petruccione

Stochastic resetting describes dynamics which are reinitialized to a reference state at random times. These protocols are attracting significant interest: they can stabilize nonequilibrium stationary states, generate correlations in…

量子物理 · 物理学 2026-01-21 Federico Carollo , Sascha Wald

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…

量子物理 · 物理学 2014-03-11 Pinja Haikka , Sabrina Maniscalco

We investigate the evolution of a single qubit subject to a continuous unitary dynamics and an additional interrupting influence which occurs periodically. One may imagine a dynamically evolving closed quantum system which becomes open at…

量子物理 · 物理学 2009-11-07 Juergen Audretsch , Lajos Diosi , Thomas Konrad

Non-Markovian processes have recently become a central topic in the study of open quantum systems. We realize experimentally non-Markovian decoherence processes of single photons by combining time delay and evolution in a…

System-environment interaction may introduce dynamic destruction of quantum coherence, resulting in a special representation named as pointer states. Here, pointer states of an open electronic system are studied. The decoherence effect is…

介观与纳米尺度物理 · 物理学 2019-10-02 Haoxiang Jiang , Yu Zhang
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