Physics – Quantum Physics
Scientific paper
2001-09-18
Physics
Quantum Physics
19 pages, LaTeX2e
Scientific paper
10.1103/PhysRevA.65.042309
We address the problem of simulating pair-interaction Hamiltonians in n node quantum networks where the subsystems have arbitrary, possibly different, dimensions. We show that any pair-interaction can be used to simulate any other by applying sequences of appropriate local control sequences. Efficient schemes for decoupling and time reversal can be constructed from orthogonal arrays. Conditions on time optimal simulation are formulated in terms of spectral majorization of matrices characterizing the coupling parameters. Moreover, we consider a specific system of n harmonic oscillators with bilinear interaction. In this case, decoupling can efficiently be achieved using the combinatorial concept of difference schemes. For this type of interactions we present optimal schemes for inversion.
Beth Thomas
Janzing Dominik
Roetteler Martin
Wocjan Pawel
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