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Valiant’s Holant Theorem and Matchgate Tensors

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,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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© 2006 Springer-Verlag Berlin Heidelberg

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Cai, JY., Choudhary, V. (2006). Valiant’s Holant Theorem and Matchgate Tensors. In: Cai, JY., Cooper, S.B., Li, A. (eds) Theory and Applications of Models of Computation. TAMC 2006. Lecture Notes in Computer Science, vol 3959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11750321_24

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  • DOI: https://doi.org/10.1007/11750321_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34021-8

  • Online ISBN: 978-3-540-34022-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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