Two remarks on the local Hamiltonian problem
Peter C. Richter
TL;DR
This paper introduces two specific restrictions of the local Hamiltonian problem that are proven to be BQP-complete, expanding understanding of quantum complexity classes and their relation to local Hamiltonian problems.
Contribution
It presents two natural restrictions of the local Hamiltonian problem that are shown to be BQP-complete, complementing previous results for other complexity classes.
Findings
Two restrictions are BQP-complete under Karp reduction.
Previous work identified restrictions complete for QCMA, QMA_1, and MA.
Expands the landscape of quantum complexity classifications.
Abstract
In this note we present two natural restrictions of the local Hamiltonian problem which are BQP-complete under Karp reduction. Restrictions complete for QCMA, QMA_1, and MA were demonstrated previously.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Spectral Theory in Mathematical Physics · Advanced Operator Algebra Research