Recent progress in the development of quantum computing platforms operating with qudits -- d-dimensional quantum particles with d>2 -- raises important questions of how such platforms can be used in the most efficient way for implementing known quantum algorithms. In my talk, I am going to discuss possible approaches for implementing quBit-based circuits with quDit-based hardware. These approaches include (i) employing "higher" qudits' levels for substituting ancillary qubits in decompositions of multiqubit gates, (ii) embedding computational space of several qubits in a single qudit, and (iii) a combination of (i) and (ii). Special attention will be given to possible experimental implementations of discussed approaches within systems of superconducting qutrits and trapped ion-based qudits. The talk will be based on a collection of papers [1-5].
 A.S. Nikolaeva, E.O.K., A.K. Fedorov, Generalized Toffoli gate decomposition using ququints: Towards realizing Grover's algorithm with qudits, Entropy 25, 387 (2023).
 A.S. Nikolaeva, E.O.K., A.K. Fedorov, Compiling quantum circuits with qubits embedded in trapped-ion quidts, arXiv:2302.02966.
 A.S. Nikolaeva, E.O.K., A.K. Fedorov, Decomposing the generalized Toffoli gate with qutrits, Phys. Rev. A 105, 032621 (2022).
 A.S. Nikolaeva, E.O.K., A.K. Fedorov, Efficient realization of quantum algorithms with qudits, arXiv:2111.04384.
 E.O.K., A. S. Nikolaeva, Peng Xu, G. V. Shlyapnikov, A. K. Fedorov, Scalable quantum computing with qudits on a graph, Phys. Rev. A 101, 022304 (2020).
Evgenii Kiktenko graduated with a Master's degree in technical physics from Bauman Moscow State Technical University in 2012, then defended his Ph.D. thesis in theoretical physics at Lebedev Physical Institute in Moscow in 2017. Now he is a leading researcher at Russian Quantum Center, where he is working on various software tools for quantum computing.
Seminar by the NYU-ECNU Institute of Physics at NYU Shanghai