Density matrix formalism of duality quantum computer and the solution of zero-wave-function paradox

Density matrix formalism of duality quantum computer and the solution of zero-wave-function paradox Duality quantum computer can accommodate both unitary and non-unitary operations. In this paper, we derive the mathematical theory of duality quantum computer in terms of density matrix using the duality mode of quantum computers. We give a solution to the ‘zero-wave-function’ paradox of duality quantum computer raised by Zou et al. (Quantum Inf Process 8:37–50 2009) where in duality quantum computer the final wave function may be zero, which contradicts the general understanding of an normalized wave function for a quantum system. We show that it is natural for zero wave function to occur in duality quantum computer because we only consider a part of the wave function in duality quantum computer. In addition, the conditions for zero wave function are presented in both pure state formalism and mixed state formalism. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Density matrix formalism of duality quantum computer and the solution of zero-wave-function paradox

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Publisher
Springer US
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Physics, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Computer Science, general; Mathematics, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0243-0
Publisher site
See Article on Publisher Site

Abstract

Duality quantum computer can accommodate both unitary and non-unitary operations. In this paper, we derive the mathematical theory of duality quantum computer in terms of density matrix using the duality mode of quantum computers. We give a solution to the ‘zero-wave-function’ paradox of duality quantum computer raised by Zou et al. (Quantum Inf Process 8:37–50 2009) where in duality quantum computer the final wave function may be zero, which contradicts the general understanding of an normalized wave function for a quantum system. We show that it is natural for zero wave function to occur in duality quantum computer because we only consider a part of the wave function in duality quantum computer. In addition, the conditions for zero wave function are presented in both pure state formalism and mixed state formalism.

Journal

Quantum Information ProcessingSpringer Journals

Published: May 8, 2011

References

  • Allowable generalized quantum gates using nonlinear quantum optics
    Li, C.Y.; Li, J.L.
  • Note on generalized quantum gates and quantum operations
    Wang, Y.Q.; Du, H.K.; Dou, Y.N.

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