Quantum speed limit and optimal evolution time in a two-level system
Open accessAbstract
Quantum mechanics establishes a fundamental bound for the minimum evolution time between two states of a given system. Known as the quantum speed limit (QSL), it is a useful tool in the context of quantum control, where the speed of some control protocol is usually intended to be as large as possible. While QSL expressions for time-independent Hamiltonians have been well studied, the time-dependent regime has remained somewhat unexplored, albeit being usually the relevant problem to be compared with when studying systems controlled by external fields. In this paper we explore the relation between optimal times found in quantum control and the QSL bound, in the (relevant) time-dependent regime, by discussing the ubiquitous two-level Landau-Zener–type Hamiltonian.
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The minimal time and geometric approaches give the same results for time-independent generators.
“At first glance, these two approaches appear to be equivalent, since they give the same results for timeindependent generators [117,122].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [117]
The statistical distance is the natural choice to define the maximal quantum speed.
“Since ℓ constitutes the shortest path connecting quantum states, the statistical distance (67) serves as the natural choice to define the maximal quantum speed [60,67,75,76,117].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [117]
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- Authors
- Poggi, P. M., Lombardo, F. C., & Wisniacki, D. A.
- Affiliations
- Universidad de Buenos Aires (AR)
- Corresponding author
- Poggi, P. M.
- ORCID
- Wisniacki, D. A.
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2013-11-01
- Volume
- 104
- Issue
- 4
- Pages
- 40005
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W1976847937
- Cited by
- 70
- References
- 20
- Citations by year
- 2026: 1 · 2025: 10 · 2024: 1 · 2023: 7 · 2022: 9 · 2021: 6 · 2020: 6 · 2019: 5 · 2018: 1 · 2017: 7 · 2016: 4 · 2015: 8 · 2014: 5
- FWCI
- 2.92
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Europhysics Letters (EPL) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Consejo Nacional de Investigaciones Científicas y Técnicas
- Agencia Nacional de Promoción Científica y Tecnológica (CONICET)
- Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Keywords
- quantum speed limit, two-level system, time-dependent Hamiltonian, quantum control
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