Quantum speed limits based on quantifiers of quantum-state texture

@misc{xie2026quantum,
  title = {{Quantum speed limits based on quantifiers of quantum-state texture}},
  author = {Yuhang Xie and Yanjun Chu and Chenyang Cui and Shao-Ming Fei},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08752},
  eprint = {2609.08752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08752},
}

TY  - UNPB
TI  - Quantum speed limits based on quantifiers of quantum-state texture
AU  - Yuhang Xie
AU  - Yanjun Chu
AU  - Chenyang Cui
AU  - Shao-Ming Fei
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08752
UR  - https://arxiv.org/abs/2609.08752
AB  - 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.
ER  -