实现可达信息所需 POVM 中元素的数量
量子物理
2007-05-23 v1
摘要
我们研究三维中一组具有有趣性质的对称三量子态，称之为提升三线态。我们表明，对于由三个以等概率选取的提升三线态组成的系综，实现可达信息的 POVM 测量必须包含六个投影算符，从而给出 Levitin 猜想的一个反例。
引用
@article{arxiv.quant-ph/0009077,
title = {On the Number of Elements Needed in a POVM Attaining the Accessible Information},
author = {Peter W. Shor},
journal= {arXiv preprint arXiv:quant-ph/0009077},
year = {2007}
}
备注
Will appear in Proceedings of QCM&C 2000 (Kluwer). Eventually, I plan to write a longer paper on these lifted trine states which will contain this paper as its first section