Quantum Biased Oracles

• Iwama Kazuo

  Kyoto University Japan Science and Technology Corporation

• Kawachi Akinori

  Tokyo Institute of Technology

• Yamashita Shigeru

  Nara Institute of Science and Technology

Abstract

This paper reviews researches on quantum oracle computations when oracles are not perfect, i.e., they may return wrong answers. We call such oracles biased oracles, and discuss the formal model of them. Then we provide an intuitive explanation how quantum search with biased oracles by Høyer, et al.(2003) works. We also review the method, by Buhrman, et al.(2005), to obtain all the answers of a quantum biased oracle without any overhead compared to the perfect oracle case. Moreover, we discuss two special cases of quantum biased oracles and their interesting properties, which are not found in the classical corresponding cases. Our discussion implies that the model of quantum biased oracle adopted by the existing researches is natural.

Journal

• Information and Media Technologies

  Information and Media Technologies 1 (1), 169-177, 2006

  Information and Media Technologies Editorial Board

Details

• CRID: 1390001205265223552
• NII Article ID: 130000058403
• DOI: 10.11185/imt.1.169
• ISSN: 18810896
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed