Wednesday, March 20, 2013

1303.4077 (Luca Mazzarella et al.)

Consensus for Quantum Networks: From Symmetry to Gossip Iterations    [PDF]

Luca Mazzarella, Alain Sarlette, Francesco Ticozzi
This paper extends the consensus framework, widely studied in the literature on distributed computing and control algorithms, to networks of quantum systems. We define consensus situations on the basis of invariance and symmetry properties, finding four different probabilistic generalizations of classical consensus states. We then extend the gossip consensus algorithm to the quantum setting and prove its convergence properties, showing how it converges to symmetric states while preserving the expectation of permutation-invariant global observables.
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