https://doi.org/10.1140/epjd/e2005-00021-1
Violation of Bell's inequality for continuous-variable EPR states
1
Institute of Theoretical Physics, Warsaw University,
Hoża 69, 00–681 Warsaw, Poland
2
Department of Physics, National University of Singapore, Singapore 117542
3
Department of Physics and Astronomy, University of New Mexico,
Albuquerque, NM 87131, USA
Corresponding author: a lpraxm@fuw.edu.pl
Received:
23
June
2004
Revised:
24
September
2004
Published online:
9
February
2005
We construct a wide class of bounded continuous variables observables that lead to violations of Bell inequalities for the EPR state and give an intuitive Wigner function explanation how to predetermine which operators won't ever exceed the bounds given by local theories. We show that as examples of such operators, we can use continuous-variable observables that satisfy the commutation relations for the Pauli matrices.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 42.50.Dv – Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
