Macroscopically Nonlocal Quantum Correlations

Gallego, Miguel; Dakić, Borivoje

doi:10.1103/physrevlett.127.120401

Cited by 5 publications

(2 citation statements)

References 27 publications

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“…However, a more rigorous investigation is required to define the upper bound. The lack of an upper bound is also noted in studies analyzing macroscopically nonlocal quantum correlations [40].…”

Section: Causality: Natural Link Of α(X Y) To Porous Microstructurementioning

confidence: 97%

Distillation of nonlocality in porous solids

Patnaik

Jokar

Ding

et al. 2022

Preprint

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Nonlocal interactions are intrinsic to multiscale heterogeneous solids. The strength of the interactions exhibits a position-dependent (heterogeneous) character whose spatial distribution strongly correlates with the underlying microstructure. In this work, a variable-order fractional calculus-based framework to distill the position-dependent nonlocal effects is developed. By considering the example of porous plates, theoretical and numerical analyses will illustrate the ability of variable-order mechanics to enable parsimonious and causal models via a synthetic variable-order map that naturally measures the non-classical role of the microstructure in determining the macroscopic response. Parsimony and causality ultimately enable the variable-order model to meaningfully measure the heterogeneous nonlocality and embed it in the variable-order map. The characteristic measure for nonlocality, different from the entanglement noted in the local porosity map, indicates a distillation of the macroscopic nonlocality, analogous to quantum nonlocality distillation. The macroscopic distillation also enables the additivity of the order map, that is the ability of assembled variable-order maps to capture the response of combined porous plates.

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Section: Causality: Natural Link Of α(X Y) To Porous Microstructurementioning

confidence: 97%

Distillation of nonlocality in porous solids

Patnaik

Jokar

Ding

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In this regard, some studies based on constant-order fractional calculus have also shown the existence of an upper bound on the amount of distillable non-locality around αfalse(x,yfalse)≈0.2 [33,41], following significant softening around the percolation limit which is practically not feasible. The lack of a well-defined upper bound is also noted in studies analysing macroscopically non-local quantum correlations [46].…”

Section: Causality: Natural Link Of αFalse(xyfalse) To Porous Microst...mentioning

confidence: 99%

Distillation of non-locality in porous solids

et al. 2023

View full text Add to dashboard Cite

Non-local interactions are intrinsic to multiscale heterogeneous solids. The strength of the interactions exhibits a position-dependent character whose spatial distribution strongly correlates with the underlying microstructure. In this work, a variable-order fractional calculus-based framework to distill the position-dependent non-local effects is developed. By considering the example of porous plates, theoretical and numerical analyses will illustrate the ability of variable-order mechanics to enable parsimonious and causal models via a synthetic variable-order map that naturally measures the heterogeneous non-locality induced by the microstructure; in other terms, the non-classical role of the microstructure in determining the macroscopic response. The characteristic measure for non-locality, different from the local entanglement resulting from the porosity map, allows distillation of the macroscopic non-locality, analogous to quantum non-locality distillation. The macroscopic distillation also enables the additivity of the order map, that is the ability of assembled order maps to capture the response of combined porous plates.

show abstract