Family of attainable geometric quantum speed limits

Zi-yi Mai; Zheng Liu; Chang-shui Yu

doi:10.22331/q-2025-06-17-1774

Family of attainable geometric quantum speed limits

School of Physics, Dalian University of Technology, Dalian 116024, P.R. China

Published:	2025-06-17, volume 9, page 1774
Editor:	Ivan Contreras
Eprint:	arXiv:2311.07862v3
Doi:	https://doi.org/10.22331/q-2025-06-17-1774
Citation:	Quantum 9, 1774 (2025).

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Abstract

We propose a quantum state distance and develop a family of geometrical quantum speed limits (QSLs) for open and closed systems. The QSL time includes an alternative function by which we derive three QSL times with particularly chosen functions. It indicates that two QSL times are exactly the ones presented in Ref. [1] and [2], respectively, and the third one can provide a unified QSL time for both open and closed systems. The three QSL times are attainable for any given initial state in the sense that there exists a dynamics driving the initial state to evolve along the geodesic. We numerically compare the tightness of the three QSL times, which typically promises a tighter QSL time if optimizing the alternative function.

► BibTeX data

@article{Mai2025familyofattainable,
  doi = {10.22331/q-2025-06-17-1774},
  url = {https://doi.org/10.22331/q-2025-06-17-1774},
  title = {Family of attainable geometric quantum speed limits},
  author = {Mai, Zi-yi and Liu, Zheng and Yu, Chang-shui},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1774},
  month = jun,
  year = {2025}
}

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Cited by

[1] Xue-Bing Wang and Wei Wu, "Quantum speed limit in open quantum systems: A stochastic approach", Physical Review A 113 4, 042207 (2026).

[2] Zi-yi Mai and Chang-shui Yu, "Attainable quantum speed limit for N -dimensional quantum systems", Physical Review A 112 5, 052205 (2025).

[3] Tristán M. Osán, Yanet Alvarez, Mariela Portesi, and Pedro W. Lamberti, "Unified fidelity-based framework for quantum speed limits in open quantum systems", Physical Review A 113 2, 022443 (2026).

[4] Abhay Srivastav, Vivek Pandey, Brij Mohan, and Arun Kumar Pati, "Family of exact and inexact quantum speed limits for completely positive and trace-preserving dynamics", Physical Review A 112 5, 052204 (2025).

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