Childs, Andrew M. and Leung, Debbie W. and Lo, Hoi-Kwong (2006) Two-way quantum communication channels. International Journal of Quantum Information, 4 (1). pp. 63-83. ISSN 0219-7499 http://resolver.caltech.edu/CaltechAUTHORS:20110630-074025842
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We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward communication of classical messages. For the case in which the two parties share unlimited prior entanglement, we give inner and outer bounds on the achievable rate region that generalize classical results due to Shannon. In particular, using a protocol of Bennett, Harrow, Leung, and Smolin, we give a one-shot expression in terms of the Holevo information for the entanglement-assisted one-way capacity of a two-way quantum channel. As applications, we rederive two known additivity results for one-way channel capacities: the entanglement-assisted capacity of a general one-way channel, and the unassisted capacity of an entanglement-breaking one-way channel.
|Additional Information:||© 2006 World Scientific Publishing Company. Received 14 May 2005. We thank Aram Harrow for many helpful discussions, especially regarding the protocol for achieving the entanglement-assisted one-way capacity of a two-way channel. Thanks also to Charles Bennett, whose insights on entanglement-assisted communication via entanglement breaking channels and the simulation of nonlocal boxes saved us from wandering in unfruitful directions. This work was initiated while AMC and DWL were at the IBM T. J. Watson Research Center and HKL was at Magiq Technologies. Part of this work was done while AMC was at the MIT Center for Theoretical Physics and while DWL was a visiting researcher at MSRI. AMC was supported in part by the Fannie and John Hertz Foundation, the Cambridge–MIT Foundation, the DOE under cooperative research agreement DE-FC02-94ER40818, and the NSA and ARDA under ARO contract DAAD19-01-1-0656. AMC and DWL received support from the NSF under Grant No. EIA-0086038. DWL received support from the Tolman Foundation and the Croucher Foundation. HKL received support from NSERC, the CRC Program, CFI, OIT, PREA, and CIPI.|
|Subject Keywords:||Quantum channel capacity; bipartite quantum interaction|
|Official Citation:||TWO-WAY QUANTUM COMMUNICATION CHANNELS ANDREW M. CHILDS, DEBBIE W. LEUNG and HOI-KWONG LO DOI No: 10.1142/S0219749906001621 Page: 63-83|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||30 Jun 2011 16:34|
|Last Modified:||26 Dec 2012 13:21|
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