TY - JOUR

T1 - Quantum nonlocality test for continuous-variable states with dichotomic observables

AU - Jeong, H.

AU - Son, W.

AU - Kim, M. S.

AU - Ahn, D.

AU - Brukner,

PY - 2003

Y1 - 2003

N2 - There have been theoretical and experimental studies on quantum nonlocality for continuous variables, based on dichotomic observables. In particular, we are interested in two cases of dichotomic observables for the light field of continuous variables: One case is even and odd numbers of photons and the other case is no photon and the presence of photons. We analyze various observables to give the maximum violation of Bell’s inequalities for continuous-variable states. We discuss an observable which gives the violation of Bell’s inequality for any entangled pure continuous-variable state. However, it does not have to be a maximally entangled state to give the maximal violation of Bell’s inequality. This is attributed to a generic problem of testing the quantum nonlocality of an infinite-dimensional state using a dichotomic observable.

AB - There have been theoretical and experimental studies on quantum nonlocality for continuous variables, based on dichotomic observables. In particular, we are interested in two cases of dichotomic observables for the light field of continuous variables: One case is even and odd numbers of photons and the other case is no photon and the presence of photons. We analyze various observables to give the maximum violation of Bell’s inequalities for continuous-variable states. We discuss an observable which gives the violation of Bell’s inequality for any entangled pure continuous-variable state. However, it does not have to be a maximally entangled state to give the maximal violation of Bell’s inequality. This is attributed to a generic problem of testing the quantum nonlocality of an infinite-dimensional state using a dichotomic observable.

UR - http://www.scopus.com/inward/record.url?scp=84892424908&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.67.012106

DO - 10.1103/PhysRevA.67.012106

M3 - Article

AN - SCOPUS:84892424908

SN - 1050-2947

VL - 67

SP - 7

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

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

IS - 1

ER -