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This research establishes a fundamental link between the revival of Bell nonlocality and non-Markovian dynamics in both Schrödinger and Heisenberg pictures, directly addressing core challenges in preserving quantum resources against noise. The study's application to device-independent quantum key distribution highlights practical implications for maintaining security in noisy quantum communication channels where memory effects are present.
Revivals of Bell nonlocality require Schr\"odinger and Heisenberg non-Markovianity
arXiv:2606.30745v2 Announce Type: replace Abstract: Bell nonlocality is a key resource in quantum information, demonstrating the nonclassicality of quantum theory. Noise, however, is in general detrimental to nonlocality, and can cause the loss of the ability to violate any Bell inequality. Memory effects, on the other hand, can restore this quantumness and, as recently shown, they can be differently characterized in the Schr\"odinger and in the Heisenberg picture. Here, we show that if memory effects allow for revivals in time of nonlocality, then the dynamics must be non-Markovian in both pictures. We showcase our findings through a device-independent quantum key distribution task, for which Bell nonlocality is necessary.
Abstract:Bell nonlocality is a key resource in quantum information, demonstrating the nonclassicality of quantum theory. Noise, however, is in general detrimental to nonlocality, and can cause the loss of the ability to violate any Bell inequality. Memory effects, on the other hand, can restore this quantumness and, as recently shown, they can be differently characterized in the Schrödinger and in the Heisenberg picture. Here, we show that if memory effects allow for revivals in time of nonlocality, then the dynamics must be non-Markovian in both pictures. We showcase our findings through a device-independent quantum key distribution task, for which Bell nonlocality is necessary.
arXiv:2606.30745 [quant-ph]
(or arXiv:2606.30745v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2606.30745 Focus to learn more arXiv-issued DOI via DataCite
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