DMCA
On simulation of Hamiltonians using local unitary transformations (2001)
| Citations: | 1 - 1 self |
BibTeX
@MISC{Chen01onsimulation,
author = {Hao Chen},
title = {On simulation of Hamiltonians using local unitary transformations},
year = {2001}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
We give necessary conditions for the simulation of both bipartite and multipartite Hamiltonians, which are independent of the eigenvalues of Hamiltonians and based on the algebraic-geometric invariants recently introduced in [1] [2]. The results show that the problem of simulation of Hamiltonians in arbitrary bipartite or multipartite quantum systems cannot be described by only using eigenvalues, which is quite different to the two-qubit case. Historically, the idea of simulating Hamiltonian time evolutions was the first motivation for quantum computation [3]. Recently the ability of nonlocal Hamiltonians to simulate one another is a popular topic, which has applications in quantum control theory [4], quantum compuation [5],[6],[7],[8] and 1 the task of generating enatnglement [9] [10]. The problem to parametrize the nonlocal properties of interaction Hamiltonians, so as to characterize the efficiency with which they can be used to simulate one another is theoretically
Keyphrases
local unitary transformation nonlocal property arbitrary bipartite multipartite hamiltonians popular topic two-qubit case first motivation quantum computation necessary condition multipartite quantum system hamiltonian time evolution algebraic-geometric invariant interaction hamiltonians nonlocal hamiltonians quantum compuation quantum control theory
