论文标题

Cayley图具有量子的egodic eigenbasis

Cayley graphs that have a quantum ergodic eigenbasis

论文作者

Naor, Assaf, Sah, Ashwin, Sawhney, Mehtaab, Zhao, Yufei

论文摘要

我们研究了哪些有限的cayley图承认了一个量子的ergodic eigenbasis,证明这对于一组大小$ n $上的任何cayley图都符合,其不可减至表示的尺寸为$ o(n)$,但存在cayley图,但没有任何量子ergodic eigenbasis。

We investigate which finite Cayley graphs admit a quantum ergodic eigenbasis, proving that this holds for any Cayley graph on a group of size $n$ for which the sum of the dimensions of its irreducible representations is $o(n)$, yet there exist Cayley graphs that do not have any quantum ergodic eigenbasis.

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