Topological Features in Ion Trap Holonomic Computation

Details Topological Features in Ion Trap Holonomic Computation Topological Features in Ion Trap Holonomic Computation

2002-04-19

arxiv.org/abs/quant-ph/0204117v1

Phys. Rev. A 66, 042318 (2002)

Physics

Quantum Physics

9 pages, 4 figures, REVTEX

Scientific paper

10.1103/PhysRevA.66.042318

Topological features in quantum computing provide controllability and noise error avoidance in the performance of logical gates. While such resilience is favored in the manipulation of quantum systems, it is very hard to identify topological features in nature. This paper proposes a scheme where holonomic quantum gates have intrinsic topological features. An ion trap is employed where the vibrational modes of the ions are coherently manipulated with lasers in an adiabatic cyclic way producing geometrical holonomic gates. A crucial ingredient of the manipulation procedures is squeezing of the vibrational modes, which effectively suppresses exponentially any undesired fluctuations of the laser amplitudes, thus making the gates resilient to control errors.

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