On the nonadiabatic geometric quantum gates

Details On the nonadiabatic geometric quantum gates On the nonadiabatic geometric quantum gates

2001-08-24

arxiv.org/abs/quant-ph/0108111v2

Physics

Quantum Physics

Scientific paper

Motivated for the fault tolerant quantum computation, quantum gate by adiabatic geometric phase shift is extensively investigated. In this paper, we demonstrate the nonadiabatic scheme for the geometric phase shift and conditional geometric phase shift. Essentially, the new scheme is simply to add an appropriate additional field. With this additional field, the state evolution can be controlled exactly on a dynamical phase free path. Geometric quantum gates for single qubit and the controlled NOT gate for two qubits are given.

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