Time-optimal control of quantum lambda systems in the KP configuration

DOI10.1063/5.0008034zbMath1443.81014OpenAlexW3026195259MaRDI QIDQ3298947

Domenico D'Alessandro, Benjamin Sheller, Zhifei Zhu

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0008034

zbMATH Keywords

three-level quantum system

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Riemann-Hilbert problems in context of PDEs (35Q15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum control (81Q93)

Related Items

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time optimal simultaneous control of two level quantum systems
• Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy
• On symmetries in time optimal control, sub-Riemannian geometries, and the \(K-P\) problem
• On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance
• Control theory from the geometric viewpoint.
• The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an \(n\times n\) matrix
• Time minimal trajectories for a spin 1∕2 particle in a magnetic field
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Sub-Riemannian Geodesics in $SU(n)/S(U(n-1) \times U(1))$ and Optimal Control of Three Level Quantum Systems
• Minimal time trajectories for two-level quantum systems with two bounded controls
• Introduction to Quantum Control and Dynamics
• Hamiltonian point of view of non-Euclidean geometry and elliptic functions