01165nas a2200169   4500000000100000000000100001008004100002100002200043700002200065700001900087700002300106700002200129245005700151856004700208490000700255520073300262       2017                            d1 aMarcin Markiewicz1 aZbigniew Puchała1 aAnna de Rosier1 aWiesław Laskowski1 aKarol Życzkowski00aQuantum noise generated by local random Hamiltonians  uhttps://doi.org/10.1103/PhysRevA.95.0323330 v953 a<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>