The Local Consistency Problem for Stoquastic and 1-D Quantum Systems
| dc.creator | Liu, Yi-Kai | |
| dc.date | 2007-12-10 | |
| dc.date | 2007-12-17 | |
| dc.date.accessioned | 2026-07-07T08:49:13Z | |
| dc.date.available | 2026-07-07T08:49:13Z | |
| dc.description | The Local Hamiltonian problem (finding the ground state energy of a quantum system) is known to be QMA-complete. The Local Consistency problem (deciding whether descriptions of small pieces of a quantum system are consistent) is also known to be QMA-complete. Here we consider special cases of Local Hamiltonian, for ``stoquastic'' and 1-dimensional systems, that seem to be strictly easier than QMA. We show that there exist analogous special cases of Local Consistency, that have equivalent complexity (up to poly-time oracle reductions). Our main technical tool is a new reduction from Local Consistency to Local Hamiltonian, using SDP duality. | |
| dc.description | 18 pages, submitted to IEEE Conference on Computational Complexity (CCC). v2: slightly revised introduction | |
| dc.identifier | https://arxiv.org/abs/0712.1388 | |
| dc.identifier | http://arxiv.org/abs/0712.1388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144217 | |
| dc.subject | Quantum Physics | |
| dc.title | The Local Consistency Problem for Stoquastic and 1-D Quantum Systems | |
| dc.type | text |