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arXiv:quant-ph/0510068

Geometric Phase Transition: direct measurement of a mathematical abstraction

Daniel Cavalcanti, Fernando G. S. L. Brandão, Marcelo Terra Cunha

Published Oct 11, 2005• 0 citations
arXivHTMLPDF

Abstract

By viewing entanglement as a state function, a new kind of phase transition takes place: the geometric phase transition. This phenomenon occurs due to singularities in the shape of the entangled states set. It is shown how this result can be carried to provide a better understanding of the geometry of entanglement. Surprisingly, this study can be done experimentally, what allows to determine the shape of different entangled states sets, a purely mathematical definition, in real experiments.

DOI
10.48550/arxiv.quant-ph/0510068

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