Extremal eigenvalues of local Hamiltonians

Aram Harrow, Ashley Montanaro

Research output: Contribution to journalArticle (Academic Journal)

230 Downloads (Pure)

Abstract

We apply classical algorithms for approximately solving constraint satisfaction problems to find bounds on extremal eigenvalues of local Hamiltonians. We consider spin Hamiltonians for which we have an upper bound on the number of terms in which each spin participates, and find extensive bounds for the operator norm and ground-state energy of such Hamiltonians under this constraint. In each case the bound is achieved by a product state which can be found efficiently using a classical algorithm.
Original languageEnglish
Pages (from-to)6-10
Number of pages5
JournalQuantum
Volume1
DOIs
Publication statusPublished - 24 Apr 2017

Structured keywords

  • QITG
  • Bristol Quantum Information Institute

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