Towards a CA model for quantum computation with fully frustrated linear Josephson junction arrays

Quantum systems modelling and simulation activity is a challenging research area. Several models and applications were proposed in the past with different approaches. Special purposes models based on cellular automata (CA) paradigm were studied as the classical CA present limits in quantum system characterisation. In this Letter we deal with a CA based approach for studying and characterizing mesoscopic quantum systems, showing that, when adopting particular system conditions, the corresponding model is simple by means of such a computational approach. We focus on fully frustrated linear Josephson junction arrays with non-trivial geometry, which develop topological order allowing for the implementation of “protected” qubits, a first step toward the realization of an ideal solid state quantum computer.