DocumentCode :
745735
Title :
On the capacities of bipartite Hamiltonians and unitary gates
Author :
Bennett, Charles H. ; Harrow, Aram W. ; Leung, Debbie W. ; Smolin, John A.
Author_Institution :
IBM T. J. Watson Res. Center, Yorktown Heights, NY, USA
Volume :
49
Issue :
8
fYear :
2003
Firstpage :
1895
Lastpage :
1911
Abstract :
We consider interactions as bidirectional channels. We investigate the capacities for interaction Hamiltonians and nonlocal unitary gates to generate entanglement and transmit classical information. We give analytic expressions for the entanglement generating capacity and entanglement-assisted one-way classical communication capacity of interactions, and show that these quantities are additive, so that the asymptotic capacities equal the corresponding 1-shot capacities. We give general bounds on other capacities, discuss some examples, and conclude with some open questions.
Keywords :
channel capacity; graph theory; quantum communication; 1-shot capacities; asymptotic capacities; bidirectional channels; bipartite Hamiltonians; communication capacity; entanglement generating capacity; entanglement-assisted communication; interactions; nonlocal unitary gates; one-way classical communication; two-way quantum channels; Channel capacity; Helium; Information processing; Information theory; Physics; Quantum computing; Quantum entanglement; Quantum mechanics; Registers;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2003.814935
Filename :
1214070
Link To Document :
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