Monogamy and backflow of mutual information in non-Markovian thermal baths

Costa, Ana C. S.; Angelo, R. M.; Beims, Marcus W.

doi:10.1103/physreva.90.012322

Cited by 20 publications

(24 citation statements)

References 63 publications

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“…As shown in Ref. [33], this conservation law allows us to speak of an information flow. For example, when a two-qubit state |ψ 0 = |a 0 (|b 1 + |b 2 ) / √ 2 evolves to |ψ t = (|a 1 |b 1 + |a 2 |b 2 ) / √ 2, with a i |a j = b i |b j = δ i j , the total information I = 2 ln 2, which initially manifested exclusively as local information, is fully transformed into shared information (in this case, entanglement).…”

Section: B Informationmentioning

confidence: 92%

Information-reality complementarity: The role of measurements and quantum reference frames

2018

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Recently, a measure has been put forward which allows for the quantification of the degree of reality of an observable for a given preparation [A. L. O. Bilobran and R. M. Angelo, Europhys. Lett. 112, 40005 (2015)]. Here we employ this quantifier to establish, on formal grounds, relations among the concepts of measurement, information, and physical reality. After introducing mathematical objects that unify weak and projective measurements, we study scenarios showing that an arbitrary-intensity unrevealed measurement of a given observable generally leads to an increase of its reality and also of its incompatible observables. We derive a complementarity relation connecting an amount of information associated with the apparatus with the degree of irreality of the monitored observable. Specifically for pure states, we show that the entanglement with the apparatus precisely determines the amount by which the reality of the monitored observable increases. We also point out some mechanisms whereby the irreality of an observable can be generated. Finally, using the aforementioned tools, we construct a consistent picture to address the measurement problem.

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Section: B Informationmentioning

confidence: 92%

Information-reality complementarity: The role of measurements and quantum reference frames

2018

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“…This is directly related to the energy exchange between system and bath. It has been observed [49] that the backflow of quantum correlations can have his origin when non-Markovian finite baths are considered. Thus, it would be interesting to check the relation between oscillations in quantum coherences and the non-Markovian behavior.…”

Section: Measuring the Non-markovianitymentioning

confidence: 99%

Quantum energy and coherence exchange with discrete baths

Galiceanu

Beims

Strunz

2014

Physica A: Statistical Mechanics and its Applications

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h i g h l i g h t s• Quantum coherence of systems coupled to finite baths composed of N harmonic oscillators is investigated. • A stochastic Schrödinger equation is solved numerically. • The energy and purity exchange between system and bath are described in details as a function of the numbers of bath harmonic oscillators.• The non-Markovian dynamics due to finite baths is analyzed. a b s t r a c tCoherence and quantum average energy exchange are studied for a system particle as a function of the number N of constituents of a discrete bath model. The time evolution of the energy and coherence, determined via the system purity (proportional to the linear entropy of the quantum statistical ensemble), are obtained solving numerically the Schrödinger equation. A new simplified stochastic Schrödinger equation is derived which takes into account the discreteness of the bath. The environment (bath) is composed of a finite number N of uncoupled harmonic oscillators (HOs), characterizing a structured bath, for which a non-Markovian behavior is expected. Two distinct physical situations are assumed for the system particle: the HO and the Morse potential. In the limit N → ∞ the bath is assumed to have an ohmic, sub-ohmic or super-ohmic spectral density. In the case of the HO, for very low values of N ( 10) the mean energy and purity oscillate between HO and bath indefinitely in time, while for intermediate and larger values (N ∼ 10 → 500) they start to decay with two distinct time regimes: exponential for relatively short times and powerlaw for larger times. In the case of the Morse potential we only observe an exponential decay for large values of N while for small N's, due to the anharmonicity of the potential, no recurrences of the mean energy and coherences are observed. Wave packet dynamics is used to determine the evolution of the particle inside the system potentials. For both systems the time behavior of a non-Markovianity measure is analyzed as a function of N and is shown to be directly related to the time behavior of the purity.

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“…While it is known that, in full generality, monogamy of quantum correlations is only possible for (some) faithtful entanglement measures (see [47]), in some restricted versions it has been shown to exist for other types of correlations as well. In particular, it has been recently proven [48] that quantum mutual information I is monogamous for any pure state and for some mixed states, provided that the tripartite correlations, defined as…”

Section: Monogamy Of Correlations: a Physical Picture Of The Freementioning

confidence: 99%

Distributed correlations and information flows within a hybrid multipartite quantum-classical system

Leggio¹,

Franco²,

Soares-Pinto³

et al. 2015

Phys. Rev. A

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Understanding the non-Markovian mechanisms underlying the revivals of quantum entanglement in the presence of classical environments is central in the theory of quantum information. Tentative interpretations have been given by either the role of the environment as a control device or the concept of hidden entanglement. We address this issue from an information-theoretic point of view. To this aim, we consider a paradigmatic tripartite system, already realized in the laboratory, made of two independent qubits and a random classical field locally interacting with one qubit alone. We study the dynamical relationship between the two-qubit entanglement and the genuine tripartite correlations of the overall system, finding that collapse and revivals of entanglement correspond, respectively, to the rise and fall of the overall tripartite correlations. Interestingly, entanglement dark periods can enable plateaux of nonzero tripartite correlations. We then explain this behavior in terms of information flows among the different parties of the system. Besides showcasing the phenomenon of the freezing of overall correlations, our results provide insights on the origin of retrieval of entanglement within a hybrid quantum-classical system.

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Monogamy and backflow of mutual information in non-Markovian thermal baths

Cited by 20 publications

References 63 publications

Information-reality complementarity: The role of measurements and quantum reference frames

Information-reality complementarity: The role of measurements and quantum reference frames

Quantum energy and coherence exchange with discrete baths

Distributed correlations and information flows within a hybrid multipartite quantum-classical system

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