Nonlocal correlations are generic in infinite-dimensional bipartite systems
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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, 2000.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Nonlocal correlations are generic in infinite-dimensional bipartite systems
AU - Clifton, Rob
AU - Halvorson, Hans
AU - Kent, Adrian
PY - 2000
Y1 - 2000
N2 - It was recently shown that nonseparable density operators on the Hilbert space [Formula Presented] 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 [Formula Presented] where we show that states violating the Clauser-Horne-Shimony-Holt (CHSH) inequality are dense, and the case [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] where we show that states violating the Clauser-Horne-Shimony-Holt (CHSH) inequality are dense, and the case [Formula Presented] 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.
U2 - 10.1103/PhysRevA.61.042101
DO - 10.1103/PhysRevA.61.042101
M3 - Journal article
AN - SCOPUS:85037187649
VL - 61
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: 336465430