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21 January 2021
 
  » arxiv » quant-ph/9812032

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NQP_{C} = co-C_{=}P
Tomoyuki Yamakami ; Andrew C. Yao ;
Date 14 Dec 1998
Journal Inform.Proc.Lett. 71 (1999) 63-69
Subject Quantum Physics; Computational Complexity | quant-ph cs.CC
AbstractAdleman, DeMarrais, and Huang introduced the nondeterministic quantum polynomial-time complexity class NQP as an analogue of NP. Fortnow and Rogers implicitly showed that, when the amplitudes are rational numbers, NQP is contained in the complement of C_{=}P. Fenner, Green, Homer, and Pruim improved this result by showing that, when the amplitudes are arbitrary algebraic numbers, NQP coincides with co-C_{=}P. In this paper we prove that, even when the amplitudes are arbitrary complex numbers, NQP still remains identical to co-C_{=}P. As an immediate corollary, BQP differs from NQP when the amplitudes are unrestricted.
Source arXiv, quant-ph/9812032
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