AWPP 2012 Report Structure & Property (1)

Quantum interpretations of AWPP and APP

Tomoyuki Morimae ∗ and Harumichi Nishimura † ASRLD Unit, Gunma University, 1-5-1 Tenjin-cho Kiryu-shi Gunma-ken, 376-0052, Japan 2 Graduate School of Information Science, Nagoya University, Chikusa-ku, Nagoya, Aichi, 464-8601 Japan Abstract AWPP is a complexity class introduced by Fenner, Fortnow, Kurtz, and Li, which is defined using GapP functions. Although it is an important class as the bes...

Modified group non-membership is in AWPP

François Le Gall Department of Computer Science, The University of Tokyo, 7-3-1 Hongo, Bunkyoku, Tokyo, 113-8656, Japan Abstract It is known that the group non-membership problem is in QMA relative to any group oracle and in SPP∩BQP relative to group oracles for solvable groups. We consider a modified version of the group non-membership problem where the order of the group is also given as an a...

European Competitiveness Report 2012

Cover vol. 9, no.1, February 2012

Schur-Pair Property and the Structure of Varietal Covering Groups