Stochastic modeling of superconducting qudits in the dispersive regime

• URL: http://arxiv.org/abs/2310.18856v2
• Date: Sat, 6 Jul 2024 02:11:10 GMT
• Title: Stochastic modeling of superconducting qudits in the dispersive regime
• Authors: Kangdi Yu, Murat C. Sarihan, Jin Ho Kang, Madeline Taylor, Cody S. Fan, Ananyo Banerjee, Jonathan L. DuBois, Yaniv J. Rosen, Chee Wei Wong,
• Abstract summary: This work focuses on modeling the dispersive quadrature measurement in an open quantum system. We verify our model with a series of experimental results on a transmon-type qutrit.
• Score: 0.0773931605896092
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The field of superconducting quantum computing, based on Josephson junctions, has recently seen remarkable strides in scaling the number of logical qubits. In particular, the fidelities of one- and two-qubit gates have reached the breakeven point with the novel error mitigation and correction methods. Parallel to these advances is the effort to expand the Hilbert space within a single junction or device by employing high-dimensional qubits, otherwise known as qudits. Research has demonstrated the possibility of driving higher-order transitions in a transmon or designing innovative multimode superconducting circuits, termed multimons. These advances can significantly expand the computational basis while simplifying the interconnects in a large-scale quantum processor. In this work we extend the measurement theory of a conventional superconducting qubit to that of a qudit, focusing on modeling the dispersive quadrature measurement in an open quantum system. Under the Markov assumption, the qudit Lindblad and stochastic master equations are formulated and analyzed; in addition, both the ensemble-averaged and the quantum-jump approach of decoherence analysis are detailed with analytical and numerical comparisons. We verify our stochastic model with a series of experimental results on a transmon-type qutrit, verifying the validity of our high-dimensional formalism.

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