We study how the number of employed modes impacts the ability to witness non-Markovian evolutions via correlation backflows in continuous-variable quantum dynamics. We first prove the existence of non-Markovian Gaussian evolutions that do not show any revivals in the correlations between the mode evolving through the dynamics and a single ancillary mode. We then demonstrate how this scenario radically changes when two ancillary modes are considered. Indeed, we show that the same evolutions can show correlation backflows along a specific bipartition when three-mode states are employed, and where only one mode is subjected to the evolution. These results can be interpreted as a form of activation phenomenon in non-Markovianity detection and are proven for two types of correlations, entanglement and steering, and two classes of Gaussian evolutions, a classical noise model and the quantum Brownian motion model.

Ancillary Gaussian modes activate the potential to witness non-Markovianity / De Santis, Dario; Farina, Donato; Mehboudi, Mohammad; Acín, Antonio. - In: NEW JOURNAL OF PHYSICS. - ISSN 1367-2630. - 25:2(2023), p. 023025. [10.1088/1367-2630/acba3a]

Ancillary Gaussian modes activate the potential to witness non-Markovianity

Donato Farina;
2023

Abstract

We study how the number of employed modes impacts the ability to witness non-Markovian evolutions via correlation backflows in continuous-variable quantum dynamics. We first prove the existence of non-Markovian Gaussian evolutions that do not show any revivals in the correlations between the mode evolving through the dynamics and a single ancillary mode. We then demonstrate how this scenario radically changes when two ancillary modes are considered. Indeed, we show that the same evolutions can show correlation backflows along a specific bipartition when three-mode states are employed, and where only one mode is subjected to the evolution. These results can be interpreted as a form of activation phenomenon in non-Markovianity detection and are proven for two types of correlations, entanglement and steering, and two classes of Gaussian evolutions, a classical noise model and the quantum Brownian motion model.
2023
Ancillary Gaussian modes activate the potential to witness non-Markovianity / De Santis, Dario; Farina, Donato; Mehboudi, Mohammad; Acín, Antonio. - In: NEW JOURNAL OF PHYSICS. - ISSN 1367-2630. - 25:2(2023), p. 023025. [10.1088/1367-2630/acba3a]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/974723
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