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Realism-based nonlocality: Invariance under local unitary operations and asymptotic decay for thermal correlated states

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  • Gomes, V.S.
  • Dieguez, P.R.
  • Vasconcelos, H.M.

Abstract

The realism-based nonlocality (RBN) is a recently introduced measure that differs from the well-known Bell’s nonlocality. For bipartite states, the RBN concerns how much an element of reality associated with a given observable is affected upon local measurements on the other subsystem. Here, we present an analytical proof for the unitary invariance of the RBN and that it presents a monotonous behavior upon the action of unital and non-unital local quantum noise. We illustrate our results by employing the two-qubit Werner state and thermal quantum correlated states. We show how the RBN is limited by the initial equilibrium temperature and, especially, that it decays asymptotically with it. These results also corroborate the hierarchy relationship between the quantifiers of RBN and global quantum discord, showing that RBN can capture undetectable nonlocal aspects even for non-discordant states.

Suggested Citation

  • Gomes, V.S. & Dieguez, P.R. & Vasconcelos, H.M., 2022. "Realism-based nonlocality: Invariance under local unitary operations and asymptotic decay for thermal correlated states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 601(C).
    • Handle: RePEc:eee:phsmap:v:601:y:2022:i:c:s0378437122003958
    DOI: 10.1016/j.physa.2022.127568
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    References listed on IDEAS

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    1. Costa, A.C.S. & Beims, M.W. & Angelo, R.M., 2016. "Generalized discord, entanglement, Einstein–Podolsky–Rosen steering, and Bell nonlocality in two-qubit systems under (non-)Markovian channels: Hierarchy of quantum resources and chronology of deaths a," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 469-479.
    2. B. Hensen & H. Bernien & A. E. Dréau & A. Reiserer & N. Kalb & M. S. Blok & J. Ruitenberg & R. F. L. Vermeulen & R. N. Schouten & C. Abellán & W. Amaya & V. Pruneri & M. W. Mitchell & M. Markham & D. , 2015. "Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres," Nature, Nature, vol. 526(7575), pages 682-686, October.
    3. Facundo Sapienza & Federico Cerisola & Augusto J. Roncaglia, 2019. "Correlations as a resource in quantum thermodynamics," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
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