Quantum noise generated by local random Hamiltonians
Quantum Physics
2017-04-05 v3
Abstract
We investigate the impact of a local random unitary noise on multipartite quantum states of an arbitrary dimension. We follow the dynamical approach, in which the single-particle unitaries are generated by local random Hamiltonians. Assuming short evolution time we derive a lower bound on the fidelity between an initial and the final state transformed by this type of noise. This result is based on averaging the Tamm-Mandelstam bound and holds for a wide class of distributions of random Hamiltonians fulfilling specific symmetry conditions. It is showed how the sensitivity of a given pure quantum state to the discussed type of noise depends on the properties of single-particle and bipartite reduced states.
Cite
@article{arxiv.1612.07826,
title = {Quantum noise generated by local random Hamiltonians},
author = {Marcin Markiewicz and Zbigniew Puchala and Anna de Rosier and Wieslaw Laskowski and Karol Zyczkowski},
journal= {arXiv preprint arXiv:1612.07826},
year = {2017}
}
Comments
13 pages, 3 figures