Time-optimal state transfer for an open qubit
arXiv:2401.10099 · doi:10.1088/1751-8121/ad5396
Abstract
Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem is solved for a basic component of various quantum technology processes -- a qubit interacting with the environment and experiencing an arbitrary time-dependent coherent driving. We rigorously derive both upper and lower estimates for the minimal steering time. Surprisingly, we discover that the optimal controls have a very special form -- they consist of two impulses, at the beginning and at the end of the control period, which can be assisted by a smooth time-dependent control in between. Moreover, an important for practical applications explicit almost optimal state transfer protocol is provided which only consists of four impulses and gives an almost optimal time of motion. The results can be directly applied to a variety of experimental situations for estimation of the ultimate limits of state control for quantum technologies.
References in corpus (15)
- The European Quantum Technologies Roadmap
- Optimal Control at the Quantum Speed Limit
- Driving at the quantum speed limit: Optimal control of a two-level system
- Singular extremals for the time-optimal control of dissipative spin 1/2 particles
- Teaching the Environment to Control Quantum Systems
- Speeding up and slowing down the relaxation of a qubit by optimal control
- Time-optimal control of a two-level dissipative quantum system
- High-Speed Driving of a Two-Level System
- Time-Optimal Universal Control of Two-Level Systems under Strong Driving
- Reachable sets for two-level open quantum systems driven by coherent and incoherent controls
- Time-optimal control of a dissipative qubit
- Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls
- Optimal shortcuts of Stimulated Raman Adiabatic Passage in the presence of dissipation
- Optimal STIRAP shortcuts using the spin to spring mapping
- Quantum feedback control in quantum photosynthesis