Holographic Algorithms: The Power of Dimensionality Resolved

نویسندگان

  • Jin-Yi Cai
  • Pinyan Lu
چکیده

Valiant’s theory of holographic algorithms is a novel methodology to achieve exponential speed-ups in computation. A fundamental parameter in holographic algorithms is the dimension of the linear basis vectors. We completely resolve the problem of the power of higher dimensional bases.We prove that 2-dimensional bases are universal for holographic algorithms. © 2009 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 410  شماره 

صفحات  -

تاریخ انتشار 2007