An Improvement on the Delsarte-Type LP-Bound with Application to MUBs

M. Matolcsi; M. Weiner

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An Improvement on the Delsarte-Type LP-Bound with Application to MUBs

机译：Delsarte型LP约束的改进及其在MUB中的应用

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摘要

The linear programming (LP) bound of Delsarte can be applied to several problems in various branches of mathematics. We describe a general Fourier analytic method to get a slight improvement on this bound. We then apply our method to the problem of mutually unbiased bases (MUBs) to prove that the Fourier family F(a, b) in dimension 6 cannot be extended to a full system of MUBs.

机译：Delsarte的线性规划（LP）边界可以应用于数学各个分支中的几个问题。我们描述了一种通用的傅立叶分析方法，可以对此范围进行一些改进。然后，我们将我们的方法应用于互不偏基（MUB）的问题，以证明维6的傅立叶族F（a，b）不能扩展到完整的MUBs系统。

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《Open Systems & Information Dynamics》 |2015年第1期|1550001.1-1550001.10|共10页
作者
M. Matolcsi; M. Weiner;
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Alfred Renyi Institute of Mathematics Hungarian Academy of Sciences POB 127 H-1364 Budapest, Hungary;

Budapest University of Technology & Economics (BME) Department of Mathematical Analysis Mueegyetem rkp. 3-9, H-1111 Budapest, Hungary;

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An Improvement on the Delsarte-Type LP-Bound with Application to MUBs

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