Entropic Entanglement Criteria for Continuous Variables
Source: Phys. Rev. Lett. 103, 160505 (2009); doi:10.1103/PhysRevLett.103.160505
Published 15 October 2009
We derive several entanglement criteria for bipartite continuous variable quantum systems based on the Shannon entropy. These criteria are more sensitive than those involving only second-order moments, and are equivalent to well-known variance product tests in the case of Gaussian states. Furthermore, they involve only a pair of quadrature measurements, and will thus prove extremely useful in the experimental identification of entanglement.
©2009 The American Physical Society
| History: | Received 28 May 2009; published 15 October 2009 |
| Permalink: |
http://link.aps.org/abstract/PRL/v103/e160505 |
REFERENCES (26)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- R. Simon, Phys. Rev. Lett. 84, 2726 (2000).
- L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000).
- S. Mancini, V. Giovannetti, D. Vitali, and P. Tombesi, Phys. Rev. Lett. 88, 120401 (2002).
- V. Giovannetti, S. Mancini, D. Vitali, and P. Tombesi, Phys. Rev. A 67, 022320 (2003).
- O. Gühne, Phys. Rev. Lett. 92, 117903 (2004).
- T. Opatrný, G. Kurizki, and D.-G. Welsch, Phys. Rev. A 61, 032302 (2000).
- F. Dell'Anno, S. D. Siena, L. Albano, and F. Illuminati, Phys. Rev. A 76, 022301 (2007).
- S. Lloyd and S. L. Braunstein, Phys. Rev. Lett. 82, 1784 (1999).
- S. D. Bartlett and B. C. Sanders, Phys. Rev. Lett. 89, 207903 (2002).
- E. Shchukin and W. Vogel, Phys. Rev. Lett. 95, 230502 (2005).
- E. V. Shchukin and W. Vogel, Phys. Rev. A 72, 043808 (2005).
- S. M. Barnett and S. Phoenix, Phys. Rev. A 40, 2404 (1989).
- N. J. Cerf and C. Adami, Phys. Rev. Lett. 79, 5194 (1997).
- K. G. H. Vollbrecth and M. M. Wolf, J. Math. Phys. (N.Y.) 43, 4299 (2002).
- V. Giovannetti, Phys. Rev. A 70, 012102 (2004).
- M. Wolf, G. Giedke, and J. I. Cirac, Phys. Rev. Lett. 96, 080502 (2006).
- C. Rodó, G. Adesso, and A. Sanpera, Phys. Rev. Lett. 100, 110505 (2008).
ADVERTISEMENT


