C^2C^2中的互不偏袒极大纠缠基

Mutually Unbiased Maximally Entanglement Bases in C^2C^2

互不偏袒基和极大纠缠基不仅是很有趣的数学概念也是量子信息领域的重要研究内容,其存在性至今仍然没有得到彻底解决。通过构造2阶矩阵空间中由酉矩阵组成的互不偏袒Hilbert-Schmidt基得到了C^2C^2中的一组互不偏袒极大纠缠基。

The mutually unbiased bases and the maximally entangled basis are not only very interesting mathematic concepts but also of crucial importance in quantum information theory.The existence of such bases still remain open by now.We propose here a group of mutually unbiased maximally entanglement bases in C^2C^2.