Quantum Holonomies based on the Lorentz-violating tensor background
K. Bakke, H. Belich
TL;DR
This paper explores how Lorentz symmetry violation backgrounds influence geometric quantum phases and holonomies, proposing methods for implementing one-qubit quantum gates through holonomic quantum computation.
Contribution
It introduces a novel approach to analyze quantum phases and holonomies in Lorentz-violating tensor backgrounds, linking them to holonomic quantum computation.
Findings
Quantum holonomies can be determined in Lorentz-violating backgrounds.
Analogues of the Anandan quantum phase are studied in this context.
A method for performing one-qubit quantum gates using holonomies is discussed.
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)].
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