Feedback control of spin systems

Abstract

The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed from a control theoretic perspective. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The Lyapunov-based feedback design presented does not require spins that are selectively addressable. With this method, it is possible to obtain control inputs also for difficult tasks, like suppressing undesired couplings in identical spin systems.

16 pages, 15 figures

References in corpus (4)

• Feedback control of quantum state reduction
• Quantum Feedback Control of Atomic Motion in an Optical Cavity
• Simple quantum feedback of a solid-state qubit
• Representing multiqubit unitary evolutions: spin coherences and infinitesimal coherences

Cited by in corpus (12)

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• Analysis of Lyapunov Method for Control of Quantum Systems
• Analysis of Lyapunov Method for Control of Quantum States
• Simulations of Information Transport in Spin Chains
• Feedback stabilization of quantum ensembles: a global convergence analysis on complex flag manifolds
• Entanglement generation between distant atoms by Lyapunov control
• A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design
• Lyapunov Control on Quantum Open System in Decoherence-free Subspaces
• Quantum Feedback Control: How to use Verification Theorems and Viscosity Solutions to Find Optimal Protocols
• Adiabatic evolution under quantum control
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains
• Nonlinear effect on quantum control for two-level systems