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Non-maximal rank separable states are a set of measure 0 within the set of non-maximal rank states

2001/11/04 by Robert B. Lockhart, Lockhart, Robert B.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0111022

3 pages

arxiv created 2001/11/07 · arxiv updated 2009/12/01

Abstract

This paper is being withdrawn due to an error in the proof. Hao Chen has shown the author in the two qubit case that there is an open set of three dimensional subspaces that are spanned by separable states. This means the author's proof is in error. The problem is that homogeneity cannot be used and so the Jacobian needs to be computed at all points

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