On the capacities of bipartite Hamiltonians and unitary gates

Details On the capacities of bipartite Hamiltonians and unitary gates On the capacities of bipartite Hamiltonians and unitary gates

2002-05-10

arxiv.org/abs/quant-ph/0205057v4

IEEE Trans. Inf. Theory, Vol. 49, No. 8, (2003) p.1895-1911

Physics

Quantum Physics

V3: extensively rewritten. V4: a mistaken reference to a conjecture by Kraus and Cirac [quant-ph/0011050] removed and a mistak

Scientific paper

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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