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Topological Quantum Computing Entanglement Theory Quantum Correlations

Correlation induced non-Abelian quantum holonomies

arXiv
Authors: Markus Johansson, Marie Ericsson, Kuldip Singh, Erik Sjöqvist, Mark S. Williamson

Year

2010

Paper ID

28879

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

Abstract

In the context of two-particle interferometry, we construct a parallel transport condition that is based on the maximization of coincidence intensity with respect to local unitary operations on one of the subsystems. The dependence on correlation is investigated and it is found that the holonomy group is generally non-Abelian, but Abelian for uncorrelated systems. It is found that our framework contains the Lévay geometric phase \[2004 {\it J. Phys. A: Math. Gen.} {\bf 37} 1821\] in the case of two-qubit systems undergoing local SU(2) evolutions.

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  • In the context of two-particle interferometry, we construct a parallel transport condition that is based on the maximization of coincidence intensity with respect to local...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1011.5182 [2] arXiv https://arxiv.org/abs/1011.5182 [3] Publisher https://arxiv.org/abs/1011.5182

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