English

Adiabatic computing using 2-local Hamiltonians on a line

Quantum Physics 2013-12-09 v2

Abstract

Here we consider the power of a line of quantum particles under a nearest-neighbor 2-local Hamiltonian. Currently, it has been shown that 8-state particles are sufficient for universal adiabatic computing. We improve this result to show that 7-state particles are sufficient.

Keywords

Cite

@article{arxiv.1310.3562,
  title  = {Adiabatic computing using 2-local Hamiltonians on a line},
  author = {Brian Pepper},
  journal= {arXiv preprint arXiv:1310.3562},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due to a critical error in the state transition rules

R2 v1 2026-06-22T01:46:10.609Z