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Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation

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TLDR
In this paper, the role of initial correlations between the open system and an environment on quantum dynamics of the open systems is analyzed and a general analysis of the role that initial correlations have on the quantum dynamics is presented.
Abstract
We present a general analysis of the role of initial correlations between the open system and an environment on quantum dynamics of the open system.

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Colloquium: Non-Markovian dynamics in open quantum systems

TL;DR: In this paper, a suite of developing theoretical tools is reviewed, with which recent progress on this problem has been based, and a more refined, non-Markovian, treatment is necessary.
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Quantum Information and Relativity Theory

TL;DR: In particular, when black holes (or more generally, event horizons) are involved most of the current concepts in quantum information theory may then require a reassessment as discussed by the authors, in particular when black hole horizons are involved.
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Quantum adiabatic Markovian master equations

TL;DR: In this paper, the authors developed Markovian master equations suited for studying the time evolution of a system evolving adiabatically while coupled weakly to a thermal bath, and used them to study the evolution of an Ising spin chain.
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Measures and applications of quantum correlations

TL;DR: This work gives an overview of the current quest for a proper understanding and characterisation of the frontier between classical and quantum correlations (QCs) in composite states, and focuses on various approaches to define and quantify general QCs, based on different yet interlinked physical perspectives.
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Quantum discord and its allies: a review of recent progress.

TL;DR: In this paper, a review of concepts and methods associated with quantum discord and related topics is presented, as well as their possible connections with other aspects of quantum information and beyond, including quantum communication, quantum computation, many-body physics, and open quantum dynamics.