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quant-phFeb 1, 2003
21
citations (OpenAlex)
authors
  • Julia Kempe
  • Oded Regev
arXiv abstractPDF
paper

3-Local Hamiltonian is QMA-complete

arXiv:quant-ph/0302079

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.

7 pages, minor changes and corrections, published version

References in corpus (2)

  • Quantum NP - A Survey
  • The 2-local Hamiltonian problem encompasses NP

Cited by in corpus (13)

  • Hybridized Methods for Quantum Simulation in the Interaction Picture
  • Realization of quantum signal processing on a noisy quantum computer
  • Identity check is QMA-complete
  • Efficient rate-adaptive reconciliation for continuous-variable quantum key distribution
  • Robustness of QMA against witness noise
  • A quantum primality test with order finding
  • Measuring 4-local n-qubit observables could probabilistically solve PSPACE
  • Non-Identity Check Remains QMA-Complete for Short Circuits
  • Cooling and Low Energy State Preparation for 3-local Hamiltonians are FQMA-complete
  • Estimating mixing properties of local Hamiltonian dynamics and continuous quantum random walks is PSPACE-hard
  • QMA with subset state witnesses
  • A Lattice Problem in Quantum NP
  • Two QCMA-complete problems
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