The quantum query complexity of the hidden subgroup problem is polynomial
نویسندگان
چکیده
منابع مشابه
The quantum query complexity of the hidden subgroup problem is polynomial
We present a quantum algorithm which identifies with certainty a hidden subgroup of an arbitrary finite group G in only a polynomial (in log |G|) number of calls to the oracle. This is exponentially better than the best classical algorithm. However our quantum algorithm requires exponential time, as in the classical case. Our algorithm utilizes a new technique for constructing error-free algori...
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Simon in his FOCS’94 paper was the first to show an exponential gap between classical and quantum computation. The problem he dealt with is now part of a well-studied class of problems, the hidden subgroup problems. We stu<dy Simon’s problem from the point of view of quantum query complexity and give here a first nontrivial lower bound on the query complexity of a hidden subgroup problem, namel...
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We are concerned with the Hidden Subgroup Problem for finite groups. We present a simplified analysis of a quantum algorithm proposed by Hallgren, Russell and Ta-Shma as well as a detailed proof of a lower bound on the probability of success of the algorithm.
متن کاملnt - p h / 04 01 08 3 v 1 14 J an 2 00 4 The quantum query complexity of the hidden subgroup problem is polynomial
We present a quantum algorithm which identifies with certainty a hidden subgroup of an arbitrary finite group G in only a polynomial (in log |G|) number of calls to the oracle. This is exponentially better than the best classical algorithm. However our quantum algorithm requires exponential time, as in the classical case. Our algorithm utilizes a new technique for constructing error-free algori...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 2004
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2004.01.024