Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels

Abstract

Accurate manipulations of an open quantum system require a deep knowledge of its controllability properties and the information content of the implemented control fields. By using tools of information and quantum optimal control theory, we provide analytical bounds (information-time bounds) to characterize our capability to control the system when subject to arbitrary sources of noise. Moreover, since the presence of an external noise field induces open quantum system dynamics, we also show that the results provided by the information-time bounds are in very good agreement with the Kofman-Kurizki universal formula describing decoherence processes. Finally, we numerically test the scaling of the control accuracy as a function of the noise parameters, by means of the dressed chopped random basis (dCRAB) algorithm for quantum optimal control.

Open quantum systems, Quantum optimal control, Channel capacities, Quantum speed limit, decoherence. This work has been published in Scientific Reports

References in corpus (11)

• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Optimal Dynamical Decoherence Control of a Qubit
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• One decade of quantum optimal control in the chopped random basis
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Using deep learning to understand and mitigate the qubit noise environment
• Efficiency of quantum controlled non-Markovian thermalization
• Robust Magnetometry with Single NV Centers via Two-step Optimization
• Limits of optimal control yields achievable with quantum controllers
• Information flow and error scaling for fully-quantum control

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• The Role of Bases in Quantum Optimal Control
• Geodesic Algorithm for Unitary Gate Design with Time-Independent Hamiltonians
• Coherence restoring in communication line via controlled interaction with environment
• Geometric quantum control and the random Schrödinger equation
• Low-rank optimal control of quantum devices