Phys. Rev. A 65, 032327 (2002) [8 pages]Simulation of many-body interactions by conditional geometric phasesReceived 5 November 2001; published 1 March 2002 It is shown how to exactly simulate many-body interactions and multiqubit gates by coupling finite dimensional systems, e.g., qubits with a continuous variable. Cyclic evolution in the phase space of such a variable gives rise to a geometric phase, depending on a product of commuting operators. The latter allows one to simulate many-body Hamiltonians and nonlinear Hamiltonians, and to implement a big variety of multiqubit quantum gates on both qubits and encoded qubits. An application to the quantum amplitude amplification algorithm will be discussed. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.032327
DOI:
10.1103/PhysRevA.65.032327
PACS:
03.67.Lx, 42.50.-p, 03.65.Vf
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