Modified group non-membership is in AWPP

نویسندگان

  • Tomoyuki Morimae
  • Harumichi Nishimura
  • François Le Gall
چکیده

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 additional input. We show that the problem is in AWPP relative to any group oracle. To show the result, we use the idea of the postselected quantum computing.

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عنوان ژورنال:
  • CoRR

دوره abs/1602.06073  شماره 

صفحات  -

تاریخ انتشار 2016