Generic Bell correlation between arbitrary local algebras in quantum field theory

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Standard

Generic Bell correlation between arbitrary local algebras in quantum field theory. / Halvorson, Hans; Clifton, Rob.

I: Journal of Mathematical Physics, Bind 41, Nr. 4, 2000, s. 1711-1717.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Halvorson, H & Clifton, R 2000, 'Generic Bell correlation between arbitrary local algebras in quantum field theory', Journal of Mathematical Physics, bind 41, nr. 4, s. 1711-1717. https://doi.org/10.1063/1.533253

APA

Halvorson, H., & Clifton, R. (2000). Generic Bell correlation between arbitrary local algebras in quantum field theory. Journal of Mathematical Physics, 41(4), 1711-1717. https://doi.org/10.1063/1.533253

Vancouver

Halvorson H, Clifton R. Generic Bell correlation between arbitrary local algebras in quantum field theory. Journal of Mathematical Physics. 2000;41(4):1711-1717. https://doi.org/10.1063/1.533253

Author

Halvorson, Hans ; Clifton, Rob. / Generic Bell correlation between arbitrary local algebras in quantum field theory. I: Journal of Mathematical Physics. 2000 ; Bind 41, Nr. 4. s. 1711-1717.

Bibtex

@article{9c85e51d11744fb58ba1ffa0737d2124,
title = "Generic Bell correlation between arbitrary local algebras in quantum field theory",
abstract = "We prove that for any two commuting von Neumann algebras of infinite type, the open set of Bell correlated states for the two algebras is norm dense. We then apply this result to algebraic quantum field theory - where all local algebras are of infinite type - in order to show that for any two spacelike separated regions, there is an open dense set of field states that dictate Bell correlations between the regions. We also show that any vector state cyclic for one of a pair of commuting non-Abelian von Neumann algebras is entangled (i.e., nonseparable) across the algebras - from which it follows that every field state with bounded energy is entangled across any two spacelike separated regions.",
author = "Hans Halvorson and Rob Clifton",
year = "2000",
doi = "10.1063/1.533253",
language = "English",
volume = "41",
pages = "1711--1717",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "A I P Publishing LLC",
number = "4",

}

RIS

TY - JOUR

T1 - Generic Bell correlation between arbitrary local algebras in quantum field theory

AU - Halvorson, Hans

AU - Clifton, Rob

PY - 2000

Y1 - 2000

N2 - We prove that for any two commuting von Neumann algebras of infinite type, the open set of Bell correlated states for the two algebras is norm dense. We then apply this result to algebraic quantum field theory - where all local algebras are of infinite type - in order to show that for any two spacelike separated regions, there is an open dense set of field states that dictate Bell correlations between the regions. We also show that any vector state cyclic for one of a pair of commuting non-Abelian von Neumann algebras is entangled (i.e., nonseparable) across the algebras - from which it follows that every field state with bounded energy is entangled across any two spacelike separated regions.

AB - We prove that for any two commuting von Neumann algebras of infinite type, the open set of Bell correlated states for the two algebras is norm dense. We then apply this result to algebraic quantum field theory - where all local algebras are of infinite type - in order to show that for any two spacelike separated regions, there is an open dense set of field states that dictate Bell correlations between the regions. We also show that any vector state cyclic for one of a pair of commuting non-Abelian von Neumann algebras is entangled (i.e., nonseparable) across the algebras - from which it follows that every field state with bounded energy is entangled across any two spacelike separated regions.

U2 - 10.1063/1.533253

DO - 10.1063/1.533253

M3 - Journal article

AN - SCOPUS:0034347145

VL - 41

SP - 1711

EP - 1717

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -

ID: 289119347