A Survey on Additivity Conjecture

Article Preview

Abstract:

Quantum material is one emerging branch of advanced materials. Quantum entanglement is one intrinsic property for quantum material, in particular, in quantum communication. Additivity conjecture is a long standing problem for quantum material to transmit information. This note surveys additivity conjecture in some kinds of forms, and introduces some known results including relations between them.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

497-499

Citation:

Online since:

October 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A. S. Holevo: Russian Math Surveys Vol. 53 (1998), p.1295.

Google Scholar

[2] B. Schumacher and M. D. Westmoreland: quant-ph/9912122.

Google Scholar

[3] C. King and M. B. Ruskai: quant-ph/9911079.

Google Scholar

[4] G. G. Amosov, A. S. Holevo and R. F. Werner: math-ph/0003002.

Google Scholar

[5] C. H. Bennett, P. W. Shor, J. A. Smolin and A. V. Thapliyal: Phys. Rev. Lett. Vol. 83 (1999), p.3081.

Google Scholar

[6] V. P. Belavkin and M. Ohya: Proc. Roy. Soc. Lond. Vol. A 458 (2001), p.209.

Google Scholar

[7] H. Fan: quant-ph/0210169.

Google Scholar

[8] C. H. Bennett, D. P. DiVincenzo, J. Smolin and W. K. Wootters: Phys. Rev. Vol. A54 (1996).

Google Scholar

[9] I. Devetak, M. Junge, C. King and M. B. Ruskai: quant-ph/0506196.

Google Scholar

[10] K. Matsumoto: quant-ph/0506052.

Google Scholar

[11] P. W. Shor: quant-ph/0305035.

Google Scholar

[12] R. F. Werner and A. S. Holevo: quant-ph/0203003.

Google Scholar

[13] C. King, K. Matsumoto, M. Nathanson and M. B. Ruskai: quant-ph/0509126.

Google Scholar

[14] P. V. Belavkin and X. Dai, in: Quantum Stochastics and Information, ed. by V P Belavkin and M Guta, World Scientific (2008) p.357.

Google Scholar

[15] P. V. Belavkin and X. Dai: International Journal of Quantum Information Vol. 6 (2008), p.981.

Google Scholar

[16] X. Dai, in: 2010 Inter-national Conference on Management and Service Science, IEEE Computer Society (2010).

Google Scholar

[17] X. Dai and Y. D. zhang, in: 2011 International Conference on Intelligence Science and Information Engineering, IEEE Computer Society (2011).

Google Scholar