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cs.CCMay 2, 2017
authors
  • Jin-Yi Cai
  • Heng Guo
  • Tyson Williams
institutions
  • University of London
  • University of Wisconsin–Madison
arXiv abstractPDF
paper

Clifford Gates in the Holant Framework

arXiv:1705.00942

Abstract

We show that the Clifford gates and stabilizer circuits in the quantum computing literature, which admit efficient classical simulation, are equivalent to affine signatures under a unitary condition. The latter is a known class of tractable functions under the Holant framework.

14 pages

References in corpus (13)

  • Efficient classical simulation of slightly entangled quantum computations
  • Improved Simulation of Stabilizer Circuits
  • A Theory of Fault-Tolerant Quantum Computation
  • Classical simulation of quantum many-body systems with a tree tensor network
  • Classical simulation of noninteracting-fermion quantum circuits
  • Fast simulation of stabilizer circuits using a graph state representation
  • Fermionic Linear Optics and Matchgates
  • On the simulation of quantum circuits
  • Classical simulation of limited-width cluster-state quantum computation
  • Quantum matchgate computations and linear threshold gates
  • A Holant Dichotomy: Is the FKT Algorithm Universal?
  • The Complexity of Holant Problems over Boolean Domain with Non-negative Weights
  • Dichotomy for Real Holantc Problems
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