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Quantum evolutions are often non-unitary and in such cases, they are frequently regarded as lossy. Such lossiness, however, does not necessarily persist throughout the evolution, and there can often be intermediate time-spans during which…

Quantum Physics · Physics 2025-12-25 Sutapa Saha , Ujjwal Sen

We analyze the relation between CP-divisibility and the lack of information backflow for an arbitrary -- not necessarily invertible -- dynamical map. It is well known that CP-divisibility always implies lack of information backflow.…

Quantum Physics · Physics 2018-08-29 Dariusz Chruściński , Ángel Rivas , Erling Størmer

Non-Markovianty of open quantum systems dynamics is a physically relevant property which is usually associated with the backflow of (quantum) information. Using this paradigmatic marker, we develop an operational framework to investigate…

Quantum Physics · Physics 2024-07-16 Thiago Melo D. Azevedo , Cristhiano Duarte , Nadja K. Bernardes

We investigate the relation between two approaches to the characterisation of quantum Markovianity, divisibility and lack of information backflow. We show that a bijective dynamical map is completely-positive-divisible if and only if a…

Quantum Physics · Physics 2016-07-18 Bogna Bylicka , Markus Johansson , Antonio Acin

We address the dynamics of quantum correlations for a bipartite continuous-variable quantum system interacting with its fluctuating environment. In particular, we consider two independent quantum oscillators initially prepared in a Gaussian…

Quantum Physics · Physics 2016-05-04 J. Trapani , M. G. A. Paris

We construct a dynamical map which is not positive divisible and does not present information backflow either (as measured by trace norm quantifiers). It is formulated for a qutrit system undergoing noninvertible dynamics. This provides an…

Quantum Physics · Physics 2023-01-06 Ángel Rivas

The study of information revivals, witnessing the violation of certain data-processing inequalities, has provided an important paradigm in the study of non-Markovian quantum stochastic processes. Although often used interchangeably, we…

Quantum non-Markovianity of a quantum noisy channel manifests typically as information backflow, characterized by the departure of the intermediate map from complete positivity, though we indicate certain noisy channels that don't exhibit…

It is known that the existence of memory effect can revive quantum correlations in open system dynamics. In this regard, the backflow of information from environment to the system can be identified with Complete Positive (CP) indivisibility…

Quantum Physics · Physics 2025-08-27 Anumita Mukhopadhyay , Praggnyamita Ghosh , Shibdas Roy

Characterization and quantification of non-Markovian dynamics in open quantum systems are topical issues in the rapidly developing field of quantum computation and quantum communication. A standard approach based on the notion of…

Quantum Physics · Physics 2026-04-01 Kelvin Onggadinata , Teck Seng Koh

Non-Markovianity has recently attracted large interest due to significant advances in its characterization and its exploitation for quantum information processing. However, up to now, only non-Markovian regimes featuring environment to…

Quantum backflow is a counterintuitive effect in which the probability density of a free particle moves in the direction opposite to the particle's momentum. If the particle is electrically charged, then the effect can be viewed as the…

Quantum Physics · Physics 2024-03-05 Arseni Goussev , Jaewoo Joo

We present a framework for quantifying information flow within general quantum processes. For this purpose, we introduce the signaling power of quantum channels and discuss its relevant operational properties. This function supports…

Quantum Physics · Physics 2025-08-08 Leonardo S. V. Santos , Zhen-Peng Xu , Jyrki Piilo , Otfried Gühne

We analyze recent approaches to quantum Markovianity and how they relate to the proper definition of quantum memory. We point out that the well-known criterion of information backflow may not correctly report character of the memory falsely…

Quantum Physics · Physics 2020-08-31 Michal Banacki , Marcin Marciniak , Karol Horodecki , Pawel Horodecki

Quantum memory effects can be qualitatively understood as a consequence of an environment-to-system backflow of information. Here, we analyze and compare how this concept is interpreted and implemented in different approaches to quantum…

Quantum Physics · Physics 2022-05-09 Adrián A. Budini

We propose to use the quantum Fisher information in characterizing the information flow of open quantum systems. This information-theoretic approach provides a quantitative measure to statistically distinguish Markovian and non-Markovian…

Quantum Physics · Physics 2010-10-12 Xiao-Ming Lu , Xiaoguang Wang , C. P. Sun

$P$-divisibility is a central concept in both classical and quantum non-Markovian processes; in particular, it is strictly related to the notion of information backflow. When restricted to a fixed commutative algebra generated by a complete…

Quantum Physics · Physics 2024-11-27 Fabio Benatti , Dariusz Chruściński , Giovanni Nichele

Memory effects in non-Markovian dynamics are often diagnosed either via quantum-correlation revivals or via non-monotonic classical information measures, yet a unified minimal framework comparing their ``backflow phases'' is still lacking.…

Quantum Physics · Physics 2026-01-28 Koichi Nakagawa

A quantum process is called non-Markovian when memory effects take place during its evolution. Quantum non-Markovianity is a phenomenon typically associated with the information back-flow from the environment to the principal system,…

Quantum Physics · Physics 2025-05-30 Spyros Tserkis , Kade Head-Marsden , Prineha Narang

Any realistic quantum system is inevitably subject to an external environment. This environment makes the open-system dynamics significant for many quantum tech-nologies, such as entangled-state engineering, quantum simulation, and quantum…

Quantum Physics · Physics 2020-09-01 Yanan Lu , Yuran Zhang , Gangqin Liu , Franco Nori , Heng Fan , Xinyu Pan
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