Nonlocal correlations are generic in infinite-dimensional bipartite systems

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Standard

Nonlocal correlations are generic in infinite-dimensional bipartite systems. / Clifton, Rob; Halvorson, Hans; Kent, Adrian.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 61, No. 4, 042101, 04.2000, p. 421011-421017.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Clifton, R, Halvorson, H & Kent, A 2000, 'Nonlocal correlations are generic in infinite-dimensional bipartite systems', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4, 042101, pp. 421011-421017.

APA

Clifton, R., Halvorson, H., & Kent, A. (2000). Nonlocal correlations are generic in infinite-dimensional bipartite systems. Physical Review A - Atomic, Molecular, and Optical Physics, 61(4), 421011-421017. [042101].

Vancouver

Clifton R, Halvorson H, Kent A. Nonlocal correlations are generic in infinite-dimensional bipartite systems. Physical Review A - Atomic, Molecular, and Optical Physics. 2000 Apr;61(4):421011-421017. 042101.

Author

Clifton, Rob ; Halvorson, Hans ; Kent, Adrian. / Nonlocal correlations are generic in infinite-dimensional bipartite systems. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2000 ; Vol. 61, No. 4. pp. 421011-421017.

Bibtex

@article{b933273ae6f74ed09542f9c9342deb9c,
title = "Nonlocal correlations are generic in infinite-dimensional bipartite systems",
abstract = "It was recently shown that nonseparable density operators on the Hilbert space H1⊗H2 are trace norm dense if either factor space has infinite dimension. We show here that nonlocal states, i.e., states whose correlations cannot be reproduced by any local hidden variable model, are also dense. Our constructions distinguish between the case dim H1 = dim H2 = ∞, where we show that states violating the Clauser-Horne-Shimony-Holt (CHSH) inequality are dense, and the case dim H12=∞, where we identify open neighborhoods of nonseparable states that do not violate the CHSH inequality but show that states with a subtler form of nonlocality (often called {"}hidden{"} nonlocality) remain dense.",
author = "Rob Clifton and Hans Halvorson and Adrian Kent",
year = "2000",
month = apr,
language = "English",
volume = "61",
pages = "421011--421017",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Nonlocal correlations are generic in infinite-dimensional bipartite systems

AU - Clifton, Rob

AU - Halvorson, Hans

AU - Kent, Adrian

PY - 2000/4

Y1 - 2000/4

N2 - It was recently shown that nonseparable density operators on the Hilbert space H1⊗H2 are trace norm dense if either factor space has infinite dimension. We show here that nonlocal states, i.e., states whose correlations cannot be reproduced by any local hidden variable model, are also dense. Our constructions distinguish between the case dim H1 = dim H2 = ∞, where we show that states violating the Clauser-Horne-Shimony-Holt (CHSH) inequality are dense, and the case dim H12=∞, where we identify open neighborhoods of nonseparable states that do not violate the CHSH inequality but show that states with a subtler form of nonlocality (often called "hidden" nonlocality) remain dense.

AB - It was recently shown that nonseparable density operators on the Hilbert space H1⊗H2 are trace norm dense if either factor space has infinite dimension. We show here that nonlocal states, i.e., states whose correlations cannot be reproduced by any local hidden variable model, are also dense. Our constructions distinguish between the case dim H1 = dim H2 = ∞, where we show that states violating the Clauser-Horne-Shimony-Holt (CHSH) inequality are dense, and the case dim H12=∞, where we identify open neighborhoods of nonseparable states that do not violate the CHSH inequality but show that states with a subtler form of nonlocality (often called "hidden" nonlocality) remain dense.

UR - http://www.scopus.com/inward/record.url?scp=4243505165&partnerID=8YFLogxK

M3 - Journal article

AN - SCOPUS:4243505165

VL - 61

SP - 421011

EP - 421017

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 4

M1 - 042101

ER -

ID: 370731364