A counterexample to the 'additivity question', the most celebrated open problem in the mathematical theory of quantum information, casts doubt on the possibility of finding a simple expression for the information capacity of a quantum channel.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Rent or buy this article
Prices vary by article type
from$1.95
to$39.95
Prices may be subject to local taxes which are calculated during checkout
References
Hastings, M. Nature Phys. 5, 255–257 (2009).
Shannon, C. E. Bell Syst. Tech. J. 27, 379–423; 623–656 (1948).
Holevo, A. S. Problemy Predachi Informatsii 9, 3–11 (1973).
Holevo, A. S. IEEE Trans. Inform. Theory 44, 269–273 (1998).
Schumacher, B. & Westmoreland, M. D. Phys. Rev. A 56, 131–138 (1997).
Shor, P. W. Commun. Math. Phys. 246, 453–572 (2004).
Pomeransky, A. A. Phys. Rev. A 68, 032317 (2003).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shor, P. The bits don't add up. Nature Phys 5, 247–248 (2009). https://doi.org/10.1038/nphys1242
Issue Date:
DOI: https://doi.org/10.1038/nphys1242
This article is cited by
-
15 years of Nature Physics
Nature Physics (2020)