22 Holonomic Quantum Computation

Angelo C. M. Carollo and Vlatko Vedral

National University of Singapore, Centre for Quantum Technologies, Block S15, 3 Science Drive 2, 117543, Singapore

A considerable understanding of the formal description of quantum mechanics has been achieved after Berry's discovery (1) of a geometric feature related to the motion of a quantum system. He showed that the wave function of a quantum object retains a memory of its evolution in its complex phase argument, which, apart from the usual dynamical contribution, only depends on the “geometry” of the path traversed by the system. Known as the geometric phase factor, this contribution originates from the very heart of the structure of quantum mechanics. ...

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