Consensus for Quantum Networks: Symmetry From Gossip Interactions

DOI10.1109/TAC.2014.2336351zbMath1360.81132arXiv1303.4077OpenAlexW969262194MaRDI QIDQ2982889

Francesco Ticozzi, Luca Mazzarella, Alain Sarlette

Publication date: 16 May 2017

Published in: IEEE Transactions on Automatic Control, SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4077

zbMATH Keywords

symmetry groupsdistributed algorithmsconsensusrobust algorithmsrandom state generation

Mathematics Subject Classification ID

Decentralized systems (93A14) Algebraic methods (93B25) Circuits, networks (94C99) Stochastic systems in control theory (general) (93E03) Applications of graph theory to circuits and networks (94C15) Distributed systems (68M14) Distributed algorithms (68W15) Quantum algorithms and complexity in the theory of computing (68Q12) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (9)

Symmetrizing quantum dynamics beyond gossip-type algorithms ⋮ Time optimal simultaneous control of two level quantum systems ⋮ Checking strict positivity of Kraus maps is NP-hard ⋮ Orbit consensus of quantum networks based on interaction design ⋮ High-dimensional Kuramoto models on Stiefel manifolds synchronize complex networks almost globally ⋮ Optimizing the convergence rate of the quantum consensus: a discrete-time model ⋮ Consensus for Quantum Networks: Symmetry From Gossip Interactions ⋮ Phase transitions in distributed control systems with multiplicative noise ⋮ On performance evaluation of distributed system size estimation executed by average consensus weights

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