Multicomponent Bell inequality and its violation for continuous-variable systems

Journal Article · Mon Feb 28 23:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.032107· OSTI ID:20650337

Chen, J -L; Chunfeng, Wu; Kaszlikowski, D; Oh, C H ^[1]; Kwek, L C ^[1]; Zukowski, M ^[2]

---

1. Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)
2. Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdanski, PL-80-952, Gdansk (Poland)

Multicomponent correlation functions are developed by utilizing d-outcome measurements. Based on multicomponent correlation functions, we propose a Bell inequality for bipartite d-dimensional systems. Violation of the Bell inequality for continuous-variable (CV) systems is investigated. The violation of maximally entangled states can exceed the Cirel'son bound; the maximal violation is 2.969 81. For finite values of the squeezing parameter, the violation strength of CV states increases with dimension d. Numerical results show that the violation strength of CV states with finite squeezing parameters is stronger than that of maximally entangled states.

• OSTI ID: 20650337
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BELL THEOREM
CORRELATION FUNCTIONS
CORRELATIONS
ENERGY LEVELS
QUANTUM MECHANICS
QUANTUM NUMBERS