Incomparability Through Superposition of Many States under LOCC
Amit Bhar, Santi Prasad Sinha
.
DOI: 10.4236/jqis.2011.11001   PDF    HTML     4,766 Downloads   9,867 Views  

Abstract

In this paper we investigate the global property of the states constructed through superposition of many states by using the concept of incomparability under LOCC as the inherent property of the states.In our work we are able to form a bridge between comparable and incomparable classes of states through linear superposition of a states and the concept of strong incomparability criterian under LOCC. PACS number(s): 03.67.Hk, 03.65.Ud, 03.65.Ta, 03.67.-a, 89.70+c.

Share and Cite:

A. Bhar and S. Sinha, "Incomparability Through Superposition of Many States under LOCC," Journal of Quantum Information Science, Vol. 1 No. 1, 2011, pp. 1-6. doi: 10.4236/jqis.2011.11001.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] A. Einstein, B. Podolsky and N. Rosen Phys. Rev. A 47, 777 (1935).
[2] E. Schr?dinger, 23, 807 (1935).
[3] W. H. Zurek, Nature 404, 130 (2000).
[4] M. A. Nielsen, Phys. Rev. Lett. 83, 436 (1999); M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, (2000).
[5] J. S. Bell N. Y. 1, 195 (1964).
[6] D. Bru β, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello and J. A. Smolin, Phys. Rev. A 57, 2368 (1998).
[7] D. Dieks, Phys. Lett. A 92, 271 (1982).
[8] H. P. Yuen, Phys. Lett. A 113, 405 (1986).
[9] N. Gisin and S. Popescu, Phys. Rev. Lett. 83, 432-435 (1999).
[10] A. K. Pati, Phys. Rev. A 66, 062319 (2002).
[11] N. Gisin, Phys. Lett. A 242, 1-3 (1998).
[12] A. K. Pati and S. L. Braunstein, Phys. Lett. A 315, 208- 212 (2003).
[13] A. K. Pati, Phys. Lett. A 270, 103 (2000).
[14] I. Chattopadhyay, S. K. Choudhary, G. Kar, S. Kunkri and D. Sarkar, Phys. Lett. A 351, 384-387 (2005).
[15] M. Horodecki, R. Horodecki, A. Sen(De) and U. Sen, arXiv: quant-ph/0306044.
[16] S. J. van Enk, Phys. Rev. Lett. 95, 010502 (2005).
[17] I. Chattopadhyay and D. Sarkar, Quantum Information and Computation, 74, 247-257 (2005), available online in arXiv: quant-ph/0409174.
[18] I. Chattopadhyay and D. Sarkar, arXiv: quant-ph/ 0511040.
[19] N. Linden, S. Popescu, J. Smolin Phys. Rev. Lett. 97, 100502(2000).
[20] Edited by D. Bouwmeester, A. Ekert and A. Zeilinger, The physics of Quantum Information: Quantum Cryptography, Quantum Teleportation and Quantum Computation, Springer, New York, (2000).

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.