Quantum states far from the energy eigenstates of any local Hamiltonian

Details Quantum states far from the energy eigenstates of any local Hamiltonian Quantum states far from the energy eigenstates of any local Hamiltonian

2003-03-04

arxiv.org/abs/quant-ph/0303022v1

Phys. Rev. Lett. 91, 210401 (2003)

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.91.210401

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.

Affiliated with

Also associated with

No associations

Rating

Quantum states far from the energy eigenstates of any local Hamiltonian 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 Quantum states far from the energy eigenstates of any local Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum states far from the energy eigenstates of any local Hamiltonian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-479301