Gate Operations for Superconducting Qubits and Non-Markovianity

• URL: http://arxiv.org/abs/2402.18518v2
• Date: Fri, 9 Aug 2024 22:08:15 GMT
• Title: Gate Operations for Superconducting Qubits and Non-Markovianity
• Authors: Kiyoto Nakamura, Joachim Ankerhold,
• Abstract summary: We present a comprehensive picture of the single-qubit dynamics in presence of a broad class of noise sources. Thermal reservoirs ranging from Ohmic to deep $1/fvarepsilon$-like sub-Ohmic behavior are considered to imitate realistic scenarios for superconducting qubits. The relevance of retarded feedback and long-range qubit-reservoir correlations is demonstrated on a quantitative level.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: While the accuracy of qubit operations has been greatly improved in the last decade, further development is demanded to achieve the ultimate goal: a fault-tolerant quantum computer that can solve real-world problems more efficiently than classical computers. With growing fidelities even subtle effects of environmental noise such as qubit-reservoir correlations and non-Markovian dynamics turn into the focus for both circuit design and control. To guide progress, we disclose, in a numerically rigorous manner, a comprehensive picture of the single-qubit dynamics in presence of a broad class of noise sources and for entire sequences of gate operations. Thermal reservoirs ranging from Ohmic to deep $1/f^{\varepsilon}$-like sub-Ohmic behavior are considered to imitate realistic scenarios for superconducting qubits. Apart from dynamical features, fidelities of the qubit performance over entire sequences are analyzed as a figure of merit. The relevance of retarded feedback and long-range qubit-reservoir correlations is demonstrated on a quantitative level, thus, providing a deeper understanding of the limitations of performances for current devices and guiding the design of future ones.

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