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Considering a network of dissipative quantum harmonic oscillators we deduceand analyze the optimum topologies which are able to store, for the largestperiod of time, a quantum superposition previously prepared in one of thenetwork oscillators. The storage of the superposition is made dynamically, inthat the state to be protected evolves through the network before beingretrieved back in the oscillator where it was prepared. The decoherence timeduring the dynamic storage process is computed and we demonstrate that it isproportional to the number of oscillators in the network for a particularregime of parameters.

Storing quantum states in bosonic dissipative networks