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arXiv · 2609.08752

Quantum speed limits based on quantifiers of quantum-state texture

Yuhang Xie·Yanjun Chu·Chenyang Cui·Shao-Ming Fei
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Abstract

Quantum speed limits impose intrinsic lower bounds on the shortest time scale for quantum system evolution. As an emerging paradigm in quantum resource theory, quantum-state texture has attracted research interest amid the rapid advancement of quantum theory. Herein, we investigate the interplay between quantum speed limits and quantum-state texture via several canonical quantifiers, including trace distance, state rugosity and Jensen-Shannon divergence. To demonstrate our findings, we analyze the minimum evolution time of physical systems subject to dephasing and dissipative dynamics. For the Jensen-Shannon divergence, we further explore nonunitary dynamics described by completely positive and trace-preserving maps, taking the amplitude damping channel as a typical example. In addition, we explore the tightness of these bounds in the considered dynamical models. Our results reveal that quantum speed limits derived from quantum-state texture capture the fundamental constraints on quantum evolutionary speed, with promising applications in quantum computing, quantum control and quantum metrology.

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Yuhang Xie, Yanjun Chu, Chenyang Cui, Shao-Ming Fei. 2026-09-08. Quantum speed limits based on quantifiers of quantum-state texture. https://arxiv.org/abs/2609.08752

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