Time optimal simultaneous control of two level quantum systems

DOI10.1016/j.automatica.2016.07.014zbMath1348.81258arXiv1510.07091OpenAlexW1865865506MaRDI QIDQ340626

Francesca Albertini, Domenico D'Alessandro

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1510.07091

zbMATH Keywords

time optimal controlPontryagin maximum principlesystems on Lie groupscontrol of quantum mechanical systemstime optimal trajectoriestwo level quantum systemscritical trajectoryseparatrix circle

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum control (81Q93)

Related Items (14)

Sub-Riemannian geodesics on SL(2,ℝ) ⋮ Quantum speed limits -- primer, perspectives, and potential future directions ⋮ Time optimal simultaneous control of two level quantum systems ⋮ Time-optimal control with finite bandwidth ⋮ Minimum-Time Transitions between Thermal and Fixed Average Energy States of the Quantum Parametric Oscillator ⋮ Solving quantum optimal control problems by wavelets method ⋮ The roles of drift and control field constraints upon quantum control speed limits ⋮ On symmetries in time optimal control, sub-Riemannian geometries, and the \(K-P\) problem ⋮ Comment on ‘Control landscapes are almost always trap free: a geometric assessment’ ⋮ Time-optimal control of quantum lambda systems in the KP configuration ⋮ Minimal time generation of density matrices for a two-level quantum system driven by coherent and incoherent controls ⋮ Lyapunov-based unified control method for closed quantum systems ⋮ Krotov method for optimal control of closed quantum systems ⋮ Algorithms for quantum control without discontinuities: Application to the simultaneous control of two qubits

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