MarriageTheoremのこと

_ arXiv:math 11月4日分まで、IACR ePrint 2012/678まで確認済み

_ 気になった論文１：The homeomorphism problem for closed 3-manifolds, Peter Scott, Hamish Short, http://jp.arxiv.org/abs/1211.0264

We give a more geometric approach to an algorithm for deciding whether two hyperbolic 3-manifolds are homeomorphic. We also give a more algebraic approach to the homeomorphism problem for geometric, but non-hyperbolic, 3-manifolds.

_ 気になった論文２：On mutually unbiased bases: Passing from d to d**2, Maurice Robert Kibler, http://jp.arxiv.org/abs/1210.8173

We show how to transform the problem of finding d+1 mutually unbiased bases in the d-dimensional Hilbert space into the one of finding d(d+1) vectors in the N-dimensional Hilbert space with N=d**2. The transformation formulas admit a solution when d is a prime number.