Quantum Computation Relative to Oracles

  • Christino Tamon
  • Tomoyuki Yamakami
Part of the Discrete Mathematics and Theoretical Computer Science book series (DISCMATH)

Abstract

The study of the power and limitations of quantum computation remains a major challenge in complexity theory. Key questions revolve around the quantum complexity classes EQP, BQP, NQP and their derivatives. This paper presents new relativized worlds in which (i) co-RPNQE, (ii) P = BQP and UP = EXP, (iii) P = EQP and RP = EXP, and (iv) EQP ⊈ ∑ 2 P ⋃ ∏ 2 P . We also show a partial answer to the question of whether Almost-BQP = BQP.

Keywords

tNpA 

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Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Christino Tamon
    • 1
  • Tomoyuki Yamakami
    • 2
  1. 1.Department of Mathematics and Computer ScienceClarkson UniversityPotsdamUSA
  2. 2.School of Information Technology and EngineeringUniversity of OttawaOttawaCanada

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