The local hamiltonian problem on a line with eight states is QMA-complete

Sean Hallgren, Daniel Nagaj, Sandeep Narayanaswami

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The Local Hamiltonian problem is the problem of estimating the least eigenvalue of a local Hamiltonian, and is complete for the class QMA. The 1D problem on a chain of qubits has heuristics which work well, while the 13-state qudit case has been shown to be QMA-complete. We show that this problem remains QMA-complete when the dimensionality of the qudits is brought down to 8.

Original languageEnglish (US)
Pages (from-to)721-750
Number of pages30
JournalQuantum Information and Computation
Volume13
Issue number9-10
StatePublished - Jul 23 2013

Fingerprint

Hamiltonians
estimating
eigenvalues
Line
Least Eigenvalue
Qubit
Dimensionality
Heuristics

All Science Journal Classification (ASJC) codes

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

Cite this

Hallgren, Sean ; Nagaj, Daniel ; Narayanaswami, Sandeep. / The local hamiltonian problem on a line with eight states is QMA-complete. In: Quantum Information and Computation. 2013 ; Vol. 13, No. 9-10. pp. 721-750.
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The local hamiltonian problem on a line with eight states is QMA-complete. / Hallgren, Sean; Nagaj, Daniel; Narayanaswami, Sandeep.

In: Quantum Information and Computation, Vol. 13, No. 9-10, 23.07.2013, p. 721-750.

Research output: Contribution to journalArticle

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