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Nonlinear Liouville equation, project Green function and stabilizing quantum computing

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  • Qiao, Bi
  • Ruda, H.E.

Abstract

Using the kinetic equation of subdynamics and the principle of maximal entropy we derive a type of nonlinear Liouville equation (NLE) for project/open quantum systems. The NLE can describe projected (or reduced) density operator, which allows to establish formalism of project Green functions (PGF) for project/open quantum system. We found that PGF can be related to Green function (GF) by the similarity operators in subdynamics. There are parallel structure and relations between PGF and GF. Finally, we demonstrated how to decrease/cancel decoherence using PGF to stabilize quantum logic operations for silicon-based or photonic quantum computing systems.

Suggested Citation

  • Qiao, Bi & Ruda, H.E., 2004. "Nonlinear Liouville equation, project Green function and stabilizing quantum computing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 197-224.
    • Handle: RePEc:eee:phsmap:v:333:y:2004:i:c:p:197-224
    DOI: 10.1016/j.physa.2003.10.065
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    References listed on IDEAS

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    1. Qiao, Bi & Ruda, H.E., 2003. "General nonequilibrium statistical ensemble formalism and its application to quantum computing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 425-441.
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    Cited by:

    1. Qiao, Bi & Ruda, H.E., 2005. "Generalized Schrödinger equation and quantum measurement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 333-345.

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