Continuous multipartite entangled state in Wigner representation and violation of the Żukowski-Brukner inequality
Abstract
We construct an explicit Wigner function for the N -mode squeezed state. Based on a previous observation that the Wigner function describes correlations in the joint measurement of the phase-space displaced parity operator, we investigate the nonlocality of the multipartite entangled state by the violation of the Żukowski-Brukner N -qubit Bell inequality. We find that quantum predictions for such a squeezed state violate these inequalities by an amount that grows with the number N .
- Publication:
-
Physical Review A
- Pub Date:
- February 2005
- DOI:
- 10.1103/PhysRevA.71.022110
- arXiv:
- arXiv:quant-ph/0309207
- Bibcode:
- 2005PhRvA..71b2110W
- Keywords:
-
- 03.65.Ud;
- 42.50.Dv;
- Entanglement and quantum nonlocality;
- Nonclassical states of the electromagnetic field including entangled photon states;
- quantum state engineering and measurements;
- Quantum Physics
- E-Print:
- 5 pages, rewritten version, accepted by Phys. Rev. A