English

Quantum Holonomies based on the Lorentz-violating tensor background

High Energy Physics - Theory 2015-06-15 v1 Quantum Physics

Abstract

We study geometric quantum phases corresponding to analogues of the Anandan quantum phase [J. Anandan, Phys. Lett. A {\bf138}, 347 (1989)] based on a possible scenario of the Lorentz symmetry violation background in a tensor background. We also show that quantum holonomies associated with the analogue of the Anandan quantum phase can be determined, and discuss a way of performing one-qubit quantum gates by analogy with the holonomic quantum computation [P. Zanardi and M. Rasetti, Phys. Lett. A {\bf264}, 94 (1999)].

Cite

@article{arxiv.1304.4833,
  title  = {Quantum Holonomies based on the Lorentz-violating tensor background},
  author = {K. Bakke and H. Belich},
  journal= {arXiv preprint arXiv:1304.4833},
  year   = {2015}
}

Comments

16 pages, no figures, to appear in J. Phys. G: Nucl. Part. Phys

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