Year: 2025
Type: article
Abstract: 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.
Source: Annalen der Physik
Authors: Dong‐Ping Xuan, Zhi‐Xi Wang, Shao‐Ming Fei
Institution: Capital Normal University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G5354708595
OpenAlex ID: W4416487656