Quantum Darwinism in a structured spin environment

Ryan, Eoghan; Paternostro, Mauro; Campbell, Steve

doi:10.1016/j.physleta.2021.127675

Cited by 24 publications

(19 citation statements)

References 36 publications

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“…We show that two different microscopic descriptions of the evo-lution that lead to the same reduced dynamics of the system can exhibit significant differences with regards to classical objectivity within the quantum Darwinism framework. Our work therefore demonstrates that the non-Markovian character of an evolution does not necessarily affect a system's ability to redundantly proliferate information to the environment, thus contributing to the ongoing efforts to unravel their relation [28][29][30][31] or possible lack thereof [32,33], note in particular the recent analysis in [34] complementary to ours.…”

Section: Introductionsupporting

confidence: 56%

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

Megier,

Smirne,

Campbell

et al. 2022

Preprint

Self Cite

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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

Section: Introductionsupporting

confidence: 56%

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

Megier,

Smirne,

Campbell

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…As it is necessary to keep track not only of the system but also of the environment, experimental investigation of QD is particularly challenging, and so far has been witnessed in the case where the environment is made of three [9], four [10] and five [11] qubits, in all cases by using optical setups. On the other hand, there has been extensive theoretical study of QD in recent years [12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Witnessing Objectivity on a Quantum Computer

Chisholm,

García-Pérez,

Rossi

et al. 2021

Preprint

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“…We show that two different microscopic descriptions of the evolution that lead to the same reduced dynamics of the system can exhibit significant differences with regards to classical objectivity within the quantum Darwinism framework. Our work therefore demonstrates that the non-Markovian character of an evolution does not necessarily affect a system’s ability to redundantly proliferate information to the environment, thus contributing to the ongoing efforts to unravel their relation [ 28 , 29 , 30 , 31 ] or possible lack thereof [ 32 , 33 ]; note, in particular, the recent analysis in [ 34 ] complementary to ours.…”

Section: Introductionmentioning

confidence: 52%

“…The maximally mixed state corresponds in particular to a situation in which the reduced environmental state is unaffected by the interaction with the system. This choice has the advantage of providing a simple parameter characterizing the different considered initial conditions, while, as can be inferred from [ 33 , 39 ], the results are expected to be robust with respect to noise in the initial preparation.…”

Section: Dephasing Modelsmentioning

confidence: 99%

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

Megier

Smirne

Campbell

et al. 2022

Entropy

Self Cite

View full text Add to dashboard Cite

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

Quantum Darwinism in a structured spin environment

Cited by 24 publications

References 36 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

Witnessing Objectivity on a Quantum Computer

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

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