Exploring ququart computation on a transmon using optimal control
Lennart Maximilian Seifert, Ziqian Li, Tanay Roy, David I. Schuster, Frederic T. Chong, Jonathan M. Baker
DOI 10.1103/PhysRevA.108.062609 · Physical Review A
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Abstract
Contemporary quantum computers encode and process quantum information in binary qubits (d=2). However, many architectures include higher energy levels that are left as unused computational resources. We demonstrate a superconducting ququart (d=4) processor and combine quantum optimal control with efficient gate decompositions to implement high-fidelity ququart gates. We distinguish between viewing the ququart as a generalized four-level qubit and an encoded pair of qubits, and characterize the resulting gates in each case. In randomized benchmarking experiments we observe gate fidelities ≥95% and identify coherence as the primary limiting factor. Our results validate ququarts as a viable tool for quantum information processing.
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