Quantum states far from the energy eigenstates of any local Hamiltonian
Quantum Physics
2009-11-10 v1
Abstract
What quantum states are possible energy eigenstates of a many-body Hamiltonian? Suppose the Hamiltonian is non-trivial, i.e., not a multiple of the identity, and L-local, in the sense of containing interaction terms involving at most L bodies, for some fixed L. We construct quantum states \psi which are ``far away'' from all the eigenstates E of any non-trivial L-local Hamiltonian, in the sense that |\psi-E| is greater than some constant lower bound, independent of the form of the Hamiltonian.
Keywords
Cite
@article{arxiv.quant-ph/0303022,
title = {Quantum states far from the energy eigenstates of any local Hamiltonian},
author = {Henry L. Haselgrove and Michael A. Nielsen and Tobias J. Osborne},
journal= {arXiv preprint arXiv:quant-ph/0303022},
year = {2009}
}
Comments
4 pages