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International Symposium on Information Theory and its Applications

Separability criterion in prime dimensions based on Landau-Pollak uncertainty relation

M. Yoshida, Takayuki Miyadera, Hideki Imai

Published Dec 1, 2008• 2 citations
Publisher

Abstract

We introduce a novel separability criterion for bipartite systems that consist of prime dimensional Hilbert spaces. We derive a strict Landau-Pollak uncertainty relation for observables related with MUB, which allows us to obtain the separability criterion. For the isotropic states, our criterion distinguishes the entangled states correctly.

DOI
10.1109/isita.2008.4895458

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We introduce a novel separability criterion for bipartite systems that consist of prime dimensional Hilbert spaces. We derive a strict Landau-Pollak uncertainty relation for observables related with MUB, which allows us to obtain the separability criterion. For the isotropic states, our criterion distinguishes the entangled states correctly.
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