The apex of the family tree of protocols: Optimal rates and resource inequalities

Publisher:
IOP Publishing Ltd
Publication Type:
Journal article
Citation:
Datta, Nilanjana and Hsieh, Min-Hsiu 2011, 'The apex of the family tree of protocols: Optimal rates and resource inequalities', New Journal of Physics, vol. 13, pp. 093042-1-093042-30.
Issue Date:
2011
Full metadata record
Files in This Item:
Filename Description Size
Thumbnail2012004730OK.pdf533.83 kB
Adobe PDF
We establish bounds on the maximum entanglement gain and minimum quantum communication cost of the fully quantum Slepian?Wolf (FQSW) protocol in the one-shot regime, which is considered to be at the apex of the existing family tree in quantum information theory. These quantities, which are expressed in terms of smooth min- and max-entropies, reduce to the known rates of quantum communication cost and entanglement gain in the asymptotic independent and identically distributed scenario. We also provide an explicit proof of the optimality of these asymptotic rates. We introduce a resource inequality for the one-shot FQSW protocol, which in conjunction with our results yields achievable one-shot rates of its children protocols. In particular, it yields bounds on the one-shot quantum capacity of a noisy channel in terms of a single entropic quantity, unlike previous bounds. We also obtain an explicit expression for the achievable rate for one-shot state redistribution.
Please use this identifier to cite or link to this item: