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Using quantum systems with more than two levels, or qudits, can scale thecomputation space of quantum processors more efficiently than using qubits,which may offer an easier physical implementation for larger Hilbert spaces.However, individual qudits may exhibit larger noise, and algorithms designedfor qubits require to be recompiled to qudit algorithms for execution. In thiswork, we implemented a two-qubit emulator using a 4-level superconductingtransmon qudit for variational quantum algorithm applications and analyzed itsnoise model. The major source of error for the variational algorithm wasreadout misclassification error and amplitude damping. To improve the accuracyof the results, we applied error-mitigation techniques to reduce the effects ofthe misclassification and qudit decay event. The final predicted energy valueis within the range of chemical accuracy. Our work demonstrates that qudits area practical alternative to qubits for variational algorithms.

Emulating two qubits with a four-level transmon qudit for variational quantum algorithms