Unified analysis of terminal-time control in classical and quantum systems

Abstract

Many phenomena in physics, chemistry, and biology involve seeking an optimal control to maximize an objective for a classical or quantum system which is open and interacting with its environment. The complexity of finding an optimal control for maximizing an objective is strongly affected by the possible existence of sub-optimal maxima. Within a unified framework under specified conditions, control objectives for maximizing at a terminal time physical observables of open classical and quantum systems are shown to be inherently free of sub-optimal maxima. This attractive feature is of central importance for enabling the discovery of controls in a seamless fashion in a wide range of phenomena transcending the quantum and classical regimes.

10 pages

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Cited by in corpus (11)

• GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
• Quantum control landscape for a $\Lambda$-atom in the vicinity of second order traps
• Coherent control of a qubit is trap-free
• Comment on "Are There Traps in Quantum Control Landscapes?"
• Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry
• Framework for Learning and Control in the Classical and Quantum Domains
• Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives
• On optimization of coherent and incoherent controls for two-level quantum systems
• On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation
• Quantum channels, complex Stiefel manifolds, and optimization
• Laser and Diffusion Driven Optimal Discrimination of Similar Quantum Systems in Resonator