Quantum Speed Limits Based on the Sharma-Mittal Entropy

• URL: http://arxiv.org/abs/2512.24070v1
• Date: Tue, 30 Dec 2025 08:27:22 GMT
• Title: Quantum Speed Limits Based on the Sharma-Mittal Entropy
• Authors: Dong-Ping Xuan, Zhi-Xi Wang, Shao-Ming Fei,
• Abstract summary: entropy-based Quantum speed limits (QSLs) characterize fundamental limits on quantum evolution speeds.<n>These limits may be employed in contexts including entropic uncertainty relations, quantum metrology, coherent control and quantum sensing.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to finite-dimensional systems evolving under general nonunitary dynamics. In the single-qubit case, the QSLs for both quantum channels and non-Hermitian dynamics are analyzed in detail. For many-body systems, we explore the role of SME-based bounds in characterizing the reduced dynamics and apply the results to the XXZ spin chain model. These entropy-based QSLs characterize fundamental limits on quantum evolution speeds and may be employed in contexts including entropic uncertainty relations, quantum metrology, coherent control and quantum sensing.

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