Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
65/2013

A note on locally unextendible non-maximally entangled basis

Bin Chen, Halqem Nizamidin and Shao-Ming Fei

Abstract

We study the locally unextendible non-maximally entangled basis (LUNMEB) in $H^{d}\bigotimes H^{d}$. We point out that there exists an error in the proof of the main result of LUNMEB [Quant. Inf. Comput. 12, 0271(2012)], which claims that there are at most $d$ orthogonal vectors in a LUNMEB, constructed from a given non-maximally entangled state. We show that both the proof and the main result are not correct in general. We present a counter example for $d=4$, in which five orthogonal vectors from a specific non-maximally entangled state are constructed. Besides, we completely solve the problem of LUNMEB for the case of $d=2$.

Received:
Jul 17, 2013
Published:
Jul 19, 2013
Keywords:
Unextendible basis, Non-maximally entangled state

Related publications

inJournal
2013 Repository Open Access
Bin Chen, Halqem Nizamidin and Shao-Ming Fei

A note on locally unextendible non-maximally entangled basis : comment on 'Quant. Inf. Comput. 12, 0271(2012)'

In: Quantum information and computation, 13 (2013) 11/12, pp. 1077-1080