Entropic bounds on information backflow

Megier, Nina; Smirne, Andrea; Vacchini, Bassano

doi:10.48550/arxiv.2101.02720

Cited by 4 publications

(4 citation statements)

References 59 publications

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“…Within the trace distance approach, it is possible to ascribe any backflow of information towards the open system to either the gen-eration of system-environment correlations, or changes in the environmental state due to the interaction with the open system, or both [7,20]. Even more, quantitative links between the trace distance variations and the influence of both system-environmental correlations and environmental changes, as measured via the trace distance, have been derived [21][22][23], and a similar result has recently been obtained also for entropic distinguishability quantifiers [24]. In addition to their quantitative content, these links suggest further evidence that the possible quantum nature of the system-environment correlations, in terms of the presence of entanglement [25] or non-zero discord [26][27][28], does not play any special role in producing memory effects, compared to mere classical correlations [29,30].…”

Section: Introductionsupporting

confidence: 52%

On the connection between microscopic description and memory effects in open quantum system dynamics

Smirne,

Megier,

Vacchini

2021

Preprint

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The exchange of information between an open quantum system and its environment allows us to discriminate among different kinds of dynamics, in particular detecting memory effects to characterize non-Markovianity. Here, we investigate the role played by the system-environment correlations and the environmental evolution in the flow of information. First, we derive general conditions ensuring that two generalized dephasing microscopic models of the global systemenvironment evolution result exactly in the same open-system dynamics, for any initial state of the system. Then, we use the trace distance to quantify the distinct contributions to the information inside and outside the open system in the two models. Our analysis clarifies how the interplay between system-environment correlations and environmental-state distinguishability can lead to the same information flow from and toward the open system, despite significant qualitative and quantitative differences at the level of the global evolution.

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Section: Introductionsupporting

confidence: 52%

On the connection between microscopic description and memory effects in open quantum system dynamics

Smirne,

Megier,

Vacchini

2021

Preprint

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“…There exist many other entropic measures, e.g. recently the quantum relative entropy was considered in terms of characterizing the flow of information between the subsystems of the JC model [223], it is defined for two states ρ and ˆ as S(ρ, ˆ ) = Tr [ρ log ρ − ρ log ˆ ], and the Wigner-Yanase skew information has also been considered for the JC model [224], which is defined for a state ρ and an observable Ô as 65), was early on studied for the JC evolution [225].…”

Section: Entanglementmentioning

confidence: 99%

The Jaynes-Cummings model and its descendants

Larson,

Mavrogordatos

2022

Preprint

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The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of the emphasis to the omnipresence of the model across a range of disciplines, this monograph brings up the fundamental generality of its formalism, looking at a wide gamut of applications in specific physical systems among several realms, including atomic physics, quantum optics, solid-state physics and quantum information science. When bringing the various pieces together to assemble our narrative, we have primarily targeted researchers in quantum physics and quantum optics. The monograph also comprises an accessible introduction for graduate students engaged with non-equilibrium quantum phase transitions, quantum computing and simulation, and quantum many-body physics. In that framework, we aim to reveal the common ground between physics and applications scattered across literature and different technological advancements. The exposition guides the reader through a vibrant field interlacing quantum optics and condensed-matter physics. All sections are devoted to the strong interconnection between theory and experiment, historically linked to the development of the various modern research directions stemming from JC physics. This is accompanied by a comprehensive list of references to the key publications that have shaped its evolution since the early 1960s. Finally, we have endeavoured to keep the presentation of such a multi-sided material as concise as possible, interspersing continuous text with various illustrations alongside an economical use of mathematical expressions.

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“…That is, when the experimenter only has access to one-point probabilities she cannot distinguish between classical Markovian and divisible processes [33]. Note that alternative definitions of quantum Markovianity exist [34], among the best known are the approaches based on P-divisibility [35,36], the monotonicity of the distinguishability quantifiers between two distinct reduced states [36][37][38] and the change of the volume of accessible reduced states [39]. All of these characterisations are based solely on the properties of the dynamics of the open quantum system.…”

Section: Quantum Markovianity and Beyondmentioning

confidence: 99%