The Local Consistency Problem for Stoquastic and 1-D Quantum Systems

Details The Local Consistency Problem for Stoquastic and 1-D Quantum Systems The Local Consistency Problem for Stoquastic and 1-D Quantum Systems

2007-12-10

arxiv.org/abs/0712.1388v2

Physics

Quantum Physics

18 pages, submitted to IEEE Conference on Computational Complexity (CCC). v2: slightly revised introduction

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The Local Consistency Problem for Stoquastic and 1-D Quantum Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Local Consistency Problem for Stoquastic and 1-D Quantum Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Local Consistency Problem for Stoquastic and 1-D Quantum Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404882