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作者机构:Univ Padua Dipartimento Ingn Informaz I-35131 Padua Italy Dartmouth Coll Dept Phys & Astron Hanover NH 03755 USA PSL Res Univ QUANTIC Project Team INRIA Paris Rocquencourt Paris France Univ Ghent SYSTeMS B-9052 Ghent Belgium
出 版 物:《SIAM JOURNAL ON CONTROL AND OPTIMIZATION》 (工业与应用数学会控制与最佳化杂志)
年 卷 期:2015年第53卷第4期
页 面:2076-2099页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0811[工学-控制科学与工程] 0701[理学-数学]
主 题:symmetry groups robust algorithms distributed algorithms consensus random state generation
摘 要:This work interprets and generalizes consensus-type algorithms as switching dynamics leading to symmetrization of some vector variables with respect to the actions of a finite group. We show how the symmetrization framework we develop covers applications as diverse as consensus on probability distributions (either classical or quantum), uniform random state generation, and open-loop disturbance rejection by quantum dynamical decoupling. Robust convergence results are explicitly provided in a group-theoretic formulation, both for deterministic and for randomized dynamics. This indicates a way to directly extend the robustness and randomization properties of consensus-type algorithms to more fields of application.