Title
The local Hamiltonian problem on a line with eight states is QMA-complete
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.
Year
Venue
Keywords
2013
Quantum Information & Computation
local hamiltonian,13-state qudit case,local hamiltonian problem,class qma
Field
DocType
Volume
Discrete mathematics,Adiabatic quantum computation,Hamiltonian (quantum mechanics),Curse of dimensionality,Hamiltonian path problem,Heuristics,Qubit,Mathematics,Eigenvalues and eigenvectors
Journal
13
Issue
ISSN
Citations 
9-10
Quantum Information & Computation, Vol.13, No.9&10, pp0721-0750 (2013)
6
PageRank 
References 
Authors
0.55
5
3
Name
Order
Citations
PageRank
Sean Hallgren132031.57
Daniel Nagaj2575.84
Sandeep Narayanaswami360.55