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Characterization of nonlocal gates

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons60540

Hammerer,  K.
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons60441

Cirac,  J. Ignacio
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;

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Zitation

Hammerer, K., Vidal, G., & Cirac, J. I. (2002). Characterization of nonlocal gates. Physical Review A, 66(6): 062321, pp. 062321-1-062321-13. Retrieved from http://link.aps.org/abstract/PRA/v66/e062321.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-C18F-6
Zusammenfassung
A nonlocal unitary transformation of two-qubits occurs when some Hamiltonian interaction couples them. Here we characterize the amount, as measured by time, of interaction required to perform two-qubit gates, when also arbitrarily fast, local unitary transformations can be applied on each qubit. The minimal required time of interaction, or interaction cost, defines an operational notion of the degree of nonlocality of gates. We characterize a partial order structure based on this notion. We also investigate the interaction cost of several communication tasks, and determine which gates are able to accomplish them. This classifies two-qubit gates into four categories, differing in their capability to transmit classical, as well as quantum, bits of information.