Coherent dynamical control of quantum processes

Abstract

Manipulation of a quantum system requires the knowledge of how it evolves. To impose that the dynamics of a system becomes a particular target operation (for any preparation of the system), it may be more useful to have an equation of motion for the dynamics itself--rather than the state. Here we develop a Markovian master equation for the process matrix of an open system, which resembles the Lindblad Markovian master equation. We employ this equation to introduce a scheme for optimal local coherent process control at target times, and extend the Krotov technique to obtain optimal control. We illustrate utility of this framework through several quantum coherent control scenarios, such as optimal decoherence suppression, gate simulation, and passive control of the environment, in all of which we aim to simulate a given terminal process at a given final time.

References in corpus (19)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Fault-Tolerant Quantum Dynamical Decoupling
• Quantum Process Tomography: Resource Analysis of Different Strategies
• High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
• Bloch vectors for qudits
• Symmetrised Characterisation of Noisy Quantum Processes
• Universal Lindblad equation for open quantum systems
• Optimal Dynamical Decoherence Control of a Qubit
• Quantum Adiabatic Brachistochrone
• Local observation of antibunching in a trapped Fermi gas
• An alternative quantum fidelity for mixed states of qudits
• Coherent control of a single trapped Rydberg ion
• Driven Imposters: Controlling Expectations in Many-Body Systems
• Making Distinct Dynamical Systems Appear Spectrally Identical
• Optimally controlled quantum discrimination and estimation
• Equation of motion for process matrix: Hamiltonian identification and dynamical control of open quantum systems
• Common Foundations of Optimal Control Across the Sciences: evidence of a free lunch
• Finite temperature reservoir engineering and entanglement dynamics
• Quantum splines