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Scalable quantum computing with qudits on a graph

E. Kiktenko, Anna Sergeevna Nikolaeva, P. Xu, G. Shlyapnikov, A. Fedorov·September 19, 2019·DOI: 10.1103/PhysRevA.101.022304
Physics

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Abstract

We show a significant reduction of the number of quantum operations and the improvement of the circuit depth for the realization of the Toffoli gate by using qudits. This is done by establishing a general relation between the dimensionality of qudits and their topology of connections for a scalable multi-qudit processor, where higher qudit levels are used for substituting ancillas. The suggested model is of importance for the realization of quantum algorithms and as a method of quantum error correction codes for single-qubit operations.

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