2020/11/30 by Eoin O’Connor, Eoin O'Connor, Giacomo Guarnieri +1
Computer Science · Mathematics · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Combinatorics #Computer science #Geodesic #Interpretation (philosophy) #Mathematical analysis #Mathematics #Metric (unit) #Path (computing) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum mechanics #Qubit #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.103.022210
published as Phys. Rev. A 103, 022210 (2021) · 8 pages, 2 figures. Close to published version
openalex publication_date 2021/02/15 · arxiv created 2021/02/18 · arxiv updated 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce action quantum speed limits (QSLs) as a family of bounds on the minimal time to connect two states that, unlike the usual geometric approach, crucially depend on how the path is traversed, i.e., on the instantaneous speed. The two approaches provide consistent bounds when the instantaneous speed is optimized along a fixed path and we demonstrate this explicitly for the case of a thermalizing qubit employing techniques from optimal control theory. In addition, we critically analyze the interpretation of QSLs based on different choices of metric establishing that, in general, these open-system QSL times provide an indication of optimality with respect to the geodesic path, rather than necessarily being indicative of an achievable minimal time.