Interaction cost of non-local gates

Details Interaction cost of non-local gates Interaction cost of non-local gates

2001-12-27

arxiv.org/abs/quant-ph/0112168v2

Phys. Rev. Lett. 88 (2002) 237902

Physics

Quantum Physics

revtex, 4 pages, no pictures, typos corrected, small changes in nomenclature

Scientific paper

10.1103/PhysRevLett.88.237902

We introduce the interaction cost of a non-local gate as the minimal time of interaction required to perform the gate when assisting the process with fast local unitaries. This cost, of interest both in the areas of quantum control and quantum information, depends on the specific interaction, and allows to compare in an operationally meaningful manner any two non-local gates. In the case of a two-qubit system, an analytical expression for the interaction cost of any unitary operation given any coupling Hamiltonian is obtained. One gate may be more time-consuming than another for any possible interaction. This defines a partial order structure in the set of non-local gates, that compares their degree of non-locality. We analytically characterize this partial order in a region of the set of two-qubit gates.

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