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On the capacities of bipartite Hamiltonians and unitary gates

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4 Author(s)
Bennett, C.H. ; IBM T. J. Watson Res. Center, Yorktown Heights, NY, USA ; Harrow, A.W. ; Leung, D.W. ; Smolin, J.A.

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.

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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 8 )