Quantum Holonomies based on the Lorentz-violating tensor background
arXiv:1304.4833 · doi:10.1088/0954-3899/40/6/065002
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)].
16 pages, no figures, to appear in J. Phys. G: Nucl. Part. Phys
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- Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
- On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
- Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
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- On one-loop corrections in the non-minimal dimension-five extension of QED
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