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We conclusively show that the entanglement- and the mutual information-based measures of quantum non-Markovianity are inequivalent. To this aim, we first analytically solve the optimization problem in the definition of the…

Quantum Physics · Physics 2016-09-07 Alaor Cervati Neto , Göktuğ Karpat , Felipe Fernandes Fanchini

We study a class of multipartite open quantum dynamics for systems of arbitrary number of qubits. The non-Markovian quantum master equation can involve arbitrary single or multipartite and time-dependent dissipative coupling mechanisms,…

Quantum Physics · Physics 2021-09-09 Adrián A. Budini , Juan P. Garrahan

Realistic quantum mechanical systems are always exposed to an external environment. The presence of the environment often gives rise to a Markovian process in which the system loses information to its surroundings. However, many quantum…

We investigate the dynamical aspects of the quantum switch and find a particular form of quantum memory emerging out of the switch action. We first analyze the loss of information in a general quantum evolution subjected to a quantum switch…

Quantum Physics · Physics 2025-03-26 Vishal Anand , Ananda G. Maity , Subhadip Mitra , Samyadeb Bhattacharya

A universal characterization of non-Markovianity for any open hybrid quantum systems is presented. This formulation is based on the negativity volume of the generalized Wigner function, which serves as an indicator of the quantum…

Quantum Physics · Physics 2020-10-22 Jiří Svozilík , Raúl Hidalgo-Sacoto , Ievgen I. Arkhipov

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…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a dissipative bosonic environment. We propagate the dynamics of the reduced density matrix of the qubit by integrating the numerically…

Quantum Physics · Physics 2024-04-30 Graziano Amati

We propose a new characterization of non-Markovian quantum evolution based on the concept of non-Markovianity degree. It provides an analog of a Schmidt number in the entanglement theory and reveals the formal analogy between quantum…

Quantum Physics · Physics 2014-12-30 Dariusz Chruściński , Sabrina Maniscalco

We define non-Markovian quantum dynamics as evolution in which the current state depends on all past states, and completely characterize its structure under the assumptions of complete positivity and non-signalling. The resulting…

Quantum Physics · Physics 2026-05-07 Serhii Kryhin , Vivishek Sudhir

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

Recently, a series of different measures quantifying memory effects in the quantum dynamics of open systems has been proposed. Here, we derive a mathematical representation for the non-Markovianity measure based on the exchange of…

Memory effects arise in many complex systems, from protein folding, to the spreading of epidemics and financial decisions. While so-called non-Markovian dynamics is common in larger systems with interacting components, observations in…

Simple, controllable models play an important role to learn 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…

Quantum Physics · Physics 2021-08-04 Nina Megier , Manuel Ponzi , Andrea Smirne , Bassano Vacchini

Recent developments in practical quantum engineering and control techniques have allowed significant developments for experimental studies of open quantum systems and decoherence engineering. Indeed, it has become possible to test…

Quantum Physics · Physics 2020-01-09 C. -F. Li , G. -C. Guo , J. Piilo

The theory of open quantum systems served as a tool to prepare entanglement at the beginning stage of quantum technology and more recently provides an important tool for state preparation. Dynamics given by time dependent Lindbladians are…

Quantum Physics · Physics 2026-02-20 Jihong Cai , Advith Govindarajan , Marius Junge

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…

Quantum Physics · Physics 2016-11-28 Titas Chanda , Samyadeb Bhattacharya

Knowledge of the dynamical behavior of correlations with no classical counterpart, like entanglement, nonlocal correlations and quantum discord, in open quantum systems is of primary interest because of the possibility to exploit these…

Quantum Physics · Physics 2015-03-20 Rosario Lo Franco , Bruno Bellomo , Sabrina Maniscalco , Giuseppe Compagno

The degree of non-Markovianity allows to characterizing quantum evolutions that depart from a Markovian regime in a similar way as Schmidt number measures the degree of entanglement of pure states. Maximally non-Markovian dynamics are the…

Quantum Physics · Physics 2018-06-05 Adrián A. Budini

Markovianity of the quantum open system processes is a topic of the considerable current interest. Typically, invertibility is assumed to be non-essential for Markovianity of the open-quantum-system dynamical maps. Nevertheless, in this…

Quantum Physics · Physics 2023-03-23 Jasmina Jeknić-Dugić , Momir Arsenijević , Miroljub Dugić

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…

Quantum Physics · Physics 2015-09-23 S. Haseli , S. Salimi , A. S. Khorashad