Speaker
Description
Quantum speed limits furnish fundamental bounds on the rate of quantum evolution and thus provide a natural framework for analyzing quantum state preparation. In this talk, I will review the geometric formulation of quantum speed limits and discuss how these bounds can be used to constrain fidelities in driven many-body systems. I will focus in particular on applications to adiabatic dynamics, including bounds on the adiabaticity of pure states [1,2], lower bounds on the runtime of adiabatic quantum computation [3], and recent extensions to mixed states [4]. These examples illustrate how geometric constraints on quantum dynamics lead to useful bounds on fidelity and timescales in many-body physics and quantum information science.
References:
[1] J.-H. Chen and V. Cheianov, Phys. Rev. Research 4, 043055 (2022).
[2] J.-H. Chen and V. Cheianov, SciPost Phys. Core 8, 084 (2025).
[3] J.-H. Chen, Phys. Rev. Research 5, 033175 (2023).
[4] L.-Y. Chou and J.-H. Chen, arXiv:2602.01943 [quant-ph].