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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.814935