Reachable Set Characterization of Open Quantum System by Quantum Speed Limit
arXiv:2111.03633 · doi:10.1103/PhysRevA.105.042608
Abstract
In recent years, Arenz et al. proposed the idea of reachable set characterization based on the quantum speed limit (QSL); that is, the reachable set of the target unitary gate in a closed qubit system can be characterized by considering the QSL as the necessary condition that the control setup must satisfy in order to achieve the goal. Inspired by this idea, in this paper we characterize a general Markovian open quantum system based on the QSL derived in \cite{Kohei2}. Note that this bound is not only explicitly computable with respect to system parameters, but also tighter than the other bounds. Some examples for demonstrating this analysis will be given.
arXiv comment6 pages, 2 figures
References in corpus (15)
- The maximum speed of dynamical evolution
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Optimal Control at the Quantum Speed Limit
- Quantum speed limits in open system dynamics
- Quantum limits to dynamical evolution
- Quantum speed limit for arbitrary initial states
- Quantum Speed Limit and optimal evolution time in a two-level system
- Lie-Semigroup Structures for Reachability and Control of Open Quantum Systems: Viewing Markovian Quantum Channels as Lie Semigroups and GKS-Lindblad Generators as Lie Wedge
- Quantum speed limits and optimal Hamiltonians for driven systems in mixed states
- Geometric quantum speed limits and short-time accessibility to unitary operations
- The roles of drift and control field constraints upon quantum control speed limits
- Quantum Evolution Time Limit: a General Non-Markovian Bound
- Quantum speed limit for robust state characterization and engineering
- Analysis of lower bounds for quantum control times and their relation to the quantum speed limit