MUBs不等价与仿射平面
MUBs inequivalence and affine planes
摘要：
在C^N中，对于不同的素幂N，存在相当大的一族N+1个互无偏基（MUB）的酉不等价完备集。这样的集合的数量不受作为N的函数的任何多项式的限制。虽然标准的是在完整的MUB集合和有限的仿射平面之间存在表面相似性，但是在这些大的族和仿射平面之间存在密切的关系。本说明简要总结了“老”的结果，似乎不为人所知的关于已知的家庭的完整套MUB及其相关的飞机。
英文摘要：
There are fairly large families of unitarily inequivalent complete sets of N+1 mutually unbiased bases (MUBs) in C^N for various prime powers N. The number of such sets is not bounded above by any polynomial as a function of N. While it is standard that there is a superficial similarity between complete sets of MUBs and finite affine planes, there is an intimate relationship between these large families and affine planes. This note briefly summarizes "old" results that do not appear to be well-known concerning known families of complete sets of MUBs and their associated planes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
