Trading classical communication, quantum communication, and entanglement in quantum Shannon theory

Details Trading classical communication, quantum communication, and entanglement in quantum Shannon theory Trading classical communication, quantum communication, and entanglement in quantum Shannon theory

2009-01-20

arxiv.org/abs/0901.3038v3

IEEE Transactions on Information Theory, vol. 56, no. 9, pp. 4705-4730, September 2010

Physics

Quantum Physics

26 pages, 10 figures, rewriting of article to make it more accessible, submitted to the IEEE Transactions on Information Theor

Scientific paper

10.1109/TIT.2010.2054532

We give trade-offs between classical communication, quantum communication, and entanglement for processing information in the Shannon-theoretic setting. We first prove a unit-resource capacity theorem that applies to the scenario where only the above three noiseless resources are available for consumption or generation. The optimal strategy mixes the three fundamental protocols of teleportation, super-dense coding, and entanglement distribution. We then provide an achievable rate region and a matching multi-letter converse for the direct static capacity theorem. This theorem applies to the scenario where a large number of copies of a noisy bipartite state are available (in addition to consumption or generation of the above three noiseless resources). Our coding strategy involves a protocol that we name the classically-assisted state redistribution protocol and the three fundamental protocols. We finally provide an achievable rate region and a matching mutli-letter converse for the direct dynamic capacity theorem. This theorem applies to the scenario where a large number of uses of a noisy quantum channel are available in addition to the consumption or generation of the three noiseless resources. Our coding strategy combines the classically-enhanced father protocol with the three fundamental unit protocols.

Affiliated with

Also associated with

No associations

Rating

Trading classical communication, quantum communication, and entanglement in quantum Shannon theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Trading classical communication, quantum communication, and entanglement in quantum Shannon theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trading classical communication, quantum communication, and entanglement in quantum Shannon theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-435038