Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality

Touil, Akram; Yan, Bin; Girolami, Davide; Deffner, Sebastian; Zurek, Wojciech H.

doi:10.1103/physrevlett.128.010401

Cited by 38 publications

(68 citation statements)

References 60 publications

(48 reference statements)

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“…Let us first study the establishment and spread of correlations in the considered scenarios. As discussed in detail in many publications [ 6 , 23 , 24 , 25 , 40 , 41 , 42 , 43 , 44 ], this feature might have an impact on the notion of objectivity for a quantum state, in the spirit of so-called quantum Darwinism [ 3 ] (see, for example, ref. [ 7 ] for a recent review and references therein).…”

Section: Spreading Of Correlationsmentioning

confidence: 99%

“…This feature is interpreted in the literature as quantum Darwinism [ 3 ], namely, a redundant storing of information about the system in different portions of the environment, allowing for a notion of objectivity, in the sense that the same information can be retrieved by different observers accessing distinct parts of the environment. It is to be stressed that the mutual information provides the standard choice of a correlation quantifier in this framework, though others were also considered [ 40 , 44 ]. This notion of objectivity is not uncontroversial; see [ 7 ] for a critical discussion and further developments.…”

Section: Spreading Of Correlationsmentioning

confidence: 99%

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Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models

Megier

Smirne

Campbell

et al. 2022

Entropy

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We critically examine the role that correlations established between a system and fragments of its environment play in characterising the ensuing dynamics. We employ a dephasing model with different initial conditions, where the state of the initial environment represents a tunable degree of freedom that qualitatively and quantitatively affects the correlation profiles, but nevertheless results in the same reduced dynamics for the system. We apply recently developed tools for the characterisation of non-Markovianity to carefully assess the role that correlations, as quantified by the (quantum) Jensen–Shannon divergence and relative entropy, as well as changes in the environmental state, play in whether the conditions for classical objectivity within the quantum Darwinism paradigm are met. We demonstrate that for precisely the same non-Markovian reduced dynamics of the system arising from different microscopic models, some exhibit quantum Darwinistic features, while others show that no meaningful notion of classical objectivity is present. Furthermore, our results highlight that the non-Markovian nature of an environment does not a priori prevent a system from redundantly proliferating relevant information, but rather it is the system’s ability to establish the requisite correlations that is the crucial factor in the manifestation of classical objectivity.

show abstract

Section: Spreading Of Correlationsmentioning

confidence: 99%

Section: Spreading Of Correlationsmentioning

confidence: 99%

Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models

Megier

Smirne

Campbell

et al. 2022

Entropy

View full text Add to dashboard Cite

show abstract

“…Let us first study the establishment and spread of correlations in the considered class of models. As discussed in detail in many publications [6,[23][24][25][39][40][41][42][43], this feature might have an impact on the notion of objectivity for a quantum state, in the spirit of the so-called quantum Darwinism [3] (see e.g. [7] for a recent review and references therein).…”

Section: Spreading Of Correlationsmentioning

confidence: 99%

“…This feature is interpreted in the literature as quantum Darwinism [3], namely a redundant storing of information about the system in different portions of the environment, allowing for a notion of objectivity, in the sense that the same information can be retrieved by different observers accessing distinct parts of the environment. It is to be stressed that the mutual information provides the standard choice of correlation quantifier in this framework, though others have also been considered [39,43]. This notion of objectivity is not uncontroversial, see [7] for a critical discussion and further developments.…”

Section: B Model Dependence Of Correlation Formationmentioning

confidence: 99%

Correlations, information backflow, and objectivity in a class of pure dephasing models

Megier,

Smirne,

Campbell

et al. 2022

Preprint

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We critically examine the role that correlations established between a system and fragments of its environment play in characterising the ensuing dynamics. We employ a class of dephasing models where the state of the initial environment represents a tunable degree of freedom that qualitatively and quantitatively affects the correlation profiles, but nevertheless results in the same reduced dynamics for the system. We apply recently developed tools for the characterisation of non-Markovianity to carefully assess the role that correlations, as quantified by the (quantum) Jensen-Shannon divergence and relative entropy, as well as changes in the environmental state, play in whether the conditions for classical objectivity within the quantum Darwinism paradigm are met. We demonstrate that for precisely the same non-Markovian reduced dynamics of the system arising from different microscopic models, some will exhibit quantum Darwinistic features, while others show no meaningful notion of classical objectivity is present. Furthermore, our results highlight that the non-Markovian nature of an environment does not a priori prevent a system from redundantly proliferating relevant information, but rather it is the system's ability to establish the requisite correlations that is the crucial factor in the manifestation of classical objectivity.

show abstract

“…This regime was exploited in Ref. [13] where the authors investigated a model based on imperfect C-NOT gates and showed that relevant quantities for QD exhibit similar dependence on the size m of a fragment of environment F m including scaling independent from the quality of the imperfect C-NOT gates and the size of F m .…”

Section: Introductionmentioning

confidence: 99%

Non-perfect propagation of information to noisy environment with self-evolution

Mironowicz,

Horodecki,

Horodecki

2022

Preprint

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Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality

Cited by 38 publications

References 60 publications

Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models

Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models

Correlations, information backflow, and objectivity in a class of pure dephasing models

Non-perfect propagation of information to noisy environment with self-evolution

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