Quantum hardware that processes information in N-level systems (qudits) as opposed to the conventional binary (qubit) encoding, has significant advantages. A qudit processor poses a resource-efficient way to increase the available Hilbert space and strongly reduce the number of required entangling gates (that are typically the most difficult to perform) for a given algorithm. To capitalize on the full potential of the higher-energy states in the transmon circuit, we are (1) designing circuits optimized for qudit coupling and readout, (2) employing quantum control techniques, inspired NMR and quantum optics, to perform high-fidelity single-and mulitple-qudit gates, and (3) exploring quantum computing, simulation -, and sensing protocols where qudits have advantage of qubits.

##### Funded projects

“A Qudit quantum simulator for nuclear physics based on superconducting circuits.”

Department of Energy – Open Sollicitation

“BE NON-LINEAR: Bosonic Encodings in NOise-resilient circuits with strong Non-LINEARity ”

AFOSR – Young Investigator Program

##### Relevant Publications

Quantum Information Scrambling in a Superconducting Qutrit Processor

M.S. Blok*, V. V. Ramasesh*, T. Schuster, K. O’Brien, J.M. Kreikebaum, D. Dahlen, A. Morvan, B. Yoshida, N. Y. Yao, I. Siddiqi.

Phys. Rev. X **11**, 021010 *(2021)*| Arxiv:2003.03307