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On the capacities of bipartite Hamiltonians and unitary gates

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arxiv quant-ph/0205057 v4 pith:K7JWEIQ6 submitted 2002-05-10 quant-ph

On the capacities of bipartite Hamiltonians and unitary gates

classification quant-ph
keywords capacitiescapacityclassicalentanglementgatesgivehamiltoniansinteractions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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