Quantum noise generated by local random Hamiltonians

Autorzy Markiewicz M.; Puchała Z.; de Rosier A.; Laskowski W.; Życzkowski K.
Tytuł Quantum noise generated by local random Hamiltonians
Czasopismo Physical Review A
Rok 2017
Status Published
Tom 95
DOI 10.1103/PhysRevA.95.032333
URL https://doi.org/10.1103/PhysRevA.95.032333
Abstrakt <p>We investigate the impact of a local random unitary noise on multipartite quantum states of 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 an upper 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 that the sensitivity of a given pure quantum state to the discussed type of noise depends only on the properties of a single-particle and bipartite reduced states.</p>