Analysis of lower bounds for quantum control times and their relation to the quantum speed limit
arXiv:2002.11147 · doi:10.31527/analesafa.2020.31.1.29
Abstract
Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain meaningful QSL bounds for time-dependent Hamiltonians with unknown control parameters. In this paper we present a short introductory overview of quantum speed limit for unitary dynamics and its connection to quantum control. We then analyze potential methods for obtaining new bounds on control times inspired by the QSL. We finally extend the work in [Poggi, Lombardo and Wisniacki EPL 104 40005 (2013)] by studying the properties and limitations of these new bounds in the context of a driven two-level quantum system
10 pages, 3 figures. Title and abstract in english and spanish. Updated references
References in corpus (5)
- Probing many-body dynamics on a 51-atom quantum simulator
- Quantum speed limits in open system dynamics
- Environment assisted speed-up of the field evolution in cavity QED
- Quantum Speed Limit Bounds in an Open Quantum Evolution
- Geometric quantum speed limits and short-time accessibility to unitary operations
Cited by in corpus (9)
- Unifying Quantum and Classical Speed Limits on Observables
- Action quantum speed limits
- Diverging quantum speed limits: a herald of classicality
- State preparation of lattice field theories using quantum optimal control
- Quantum speed of evolution in a Markovian bosonic environment
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Minimizing state preparation times in pulse-level variational molecular simulations
- Reachable Set Characterization of Open Quantum System by Quantum Speed Limit
- Achieving fast and robust perfect entangling gates via reinforcement learning