Simulation of many-body interactions by conditional geometric phases

作者:Wang XG*; Zanardi P
来源:Physical Review A, 2002, 65(3): 032327.
DOI:10.1103/PhysRevA.65.032327

摘要

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.

  • 出版日期2002-3