On the capacities of bipartite Hamiltonians and unitary gates

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-w...

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Bibliographic Details
Published in:IEEE transactions on information theory 2003-08, Vol.49 (8), p.1895-1911
Main Authors: Bennett, C.H., Harrow, A.W., Leung, D.W., Smolin, J.A.
Format: Article
Language:English
Subjects:
Additives
Asymptotic properties
Channel capacity
Channels
Entanglement
Exact solutions
Gates
Information processing
Information systems
Information theory
Mathematical analysis
Physics
Quantum computing
Quantum entanglement
Quantum mechanics
Registers
Theory
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Summary: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.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2003.814935