3-local Hamiltonian is QMA-complete

Julia Kempe, Oded Regev

Research output: Contribution to journalArticle

Abstract

It has been shown by Kitaev that the 5-LOCAL HAMILTONIAN problem is QMA-complete. Here we reduce the locality of the problem by showing that 3-LOCAL HAMILTONIAN is already QMA-complete.

Original languageEnglish (US)
Pages (from-to)258-264
Number of pages7
JournalQuantum Information and Computation
Volume3
Issue number3
StatePublished - May 2003

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Hamiltonians
Locality

Keywords

  • Complete problems
  • Local Hamiltonian problem
  • QMA

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mathematical Physics
  • Theoretical Computer Science
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Statistical and Nonlinear Physics

Cite this

3-local Hamiltonian is QMA-complete. / Kempe, Julia; Regev, Oded.

In: Quantum Information and Computation, Vol. 3, No. 3, 05.2003, p. 258-264.

Research output: Contribution to journalArticle

Kempe, Julia ; Regev, Oded. / 3-local Hamiltonian is QMA-complete. In: Quantum Information and Computation. 2003 ; Vol. 3, No. 3. pp. 258-264.
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