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Title: Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system

Abstract

A scheme is proposed to include both cyclic and noncyclic geometric quantum computations in nuclear-magnetic-resonance system by the invariant theory. By controlling magnetic field and arbitrary parameters in the invariant operator, the phases accumulated in the entangling quantum gates for single- and two-qubit systems are pure geometric phases. Thus, fault tolerance may occur in some critical magnetic field parameters for either cyclic or noncyclic evolution by differently choosing for gate time.

Authors:
; ;  [1]
  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022 (China) and Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang, Jiangxi 330022 (China)
Publication Date:
OSTI Identifier:
21313139
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.79.054301; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GEOMETRY; MAGNETIC FIELDS; NUCLEAR MAGNETIC RESONANCE; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; TOLERANCE

Citation Formats

Wang, Z. S., Liu, G. Q., and Ji, Y. H. Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system. United States: N. p., 2009. Web. doi:10.1103/PHYSREVA.79.054301.
Wang, Z. S., Liu, G. Q., & Ji, Y. H. Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system. United States. doi:10.1103/PHYSREVA.79.054301.
Wang, Z. S., Liu, G. Q., and Ji, Y. H. 2009. "Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system". United States. doi:10.1103/PHYSREVA.79.054301.
@article{osti_21313139,
title = {Noncyclic geometric quantum computation in a nuclear-magnetic-resonance system},
author = {Wang, Z. S. and Liu, G. Q. and Ji, Y. H.},
abstractNote = {A scheme is proposed to include both cyclic and noncyclic geometric quantum computations in nuclear-magnetic-resonance system by the invariant theory. By controlling magnetic field and arbitrary parameters in the invariant operator, the phases accumulated in the entangling quantum gates for single- and two-qubit systems are pure geometric phases. Thus, fault tolerance may occur in some critical magnetic field parameters for either cyclic or noncyclic evolution by differently choosing for gate time.},
doi = {10.1103/PHYSREVA.79.054301},
journal = {Physical Review. A},
number = 5,
volume = 79,
place = {United States},
year = 2009,
month = 5
}
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