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Quantum dimer model and its application in topologically protected qubit Wong, Mandy Man Chu


Quantum dimer model (QDM) is a paradigm for the study of high-Tc superconductivity. We review the history of this model and its properties with emphasis on the critical behaviour and excitation. We review the method of mapping the QDM into three different models; the Ising model, the height model, and Polyakov’s compact QED. The duality relation between the height model and Polyakov’s compact QED in the QDM limit is investigated. We review a new application of QDM in quantum computing. The triangular dimer model can serve as a suitable candidate for topologically protected qubit. Finally, a specific implementation using Josephson junction array is discussed.

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