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Valiant’s Holant Theorem and Matchgate Tensors

  • Jin-Yi Cai
  • Vinay Choudhary
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3959)

Abstract

We propose matchgate tensors as a natural and proper language to develop Valiant’s new theory of Holographic Algorithms. We give a treatment of the central theorem in this theory—the Holant Theorem—in terms of matchgate tensors. Some generalizations are presented.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jin-Yi Cai
    • 1
  • Vinay Choudhary
    • 1
  1. 1.Computer Sciences DepartmentUniversity of WisconsinMadisonUSA

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