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.

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

References in corpus (70)

• Quantum sensing
• Dynamical Decoupling of Open Quantum Systems
• Control of quantum phenomena: Past, present, and future
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Open Quantum Systems. An Introduction
• The maximum speed of dynamical evolution
• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Unknown Quantum States and Operations, a Bayesian View
• Training Schrödinger's cat: quantum optimal control
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• 1/f noise: implications for solid-state quantum information
• Defining and detecting quantum speedup
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Quantum speed limit for non-Markovian dynamics
• Optimal Control at the Quantum Speed Limit
• Optimal control technique for Many Body Quantum Systems dynamics
• Chopped random-basis quantum optimization
• Quantum channels and memory effects
• Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
• Dynamical decoupling noise spectroscopy
• Controlling open quantum systems: Tools, achievements, and limitations
• Quantum Trajectories and Quantum Measurement Theory
• Optimal Dynamical Decoherence Control of a Qubit
• Seconds-scale coherence in a tweezer-array optical clock
• Dynamical decoupling sequence construction as a filter-design problem
• Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
• Quantum Control Landscapes
• Qubit noise spectroscopy for non-Gaussian dephasing environments
• Arbitrary quantum control of qubits in the presence of universal noise
• Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
• Optimal control of open quantum systems: cooperative effects of driving and dissipation
• Measurement of the Noise Spectrum Using a Multiple-Pulse Sequence
• Optimal control methods for fast time-varying Hamiltonians
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• One decade of quantum optimal control in the chopped random basis
• An information theoretical analysis of quantum optimal control
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Interferometry with non-classical motional states of a Bose-Einstein condensate
• Speeding up and slowing down the relaxation of a qubit by optimal control
• Exploiting Non-Markovianity of the Environment for Quantum Control
• Remote optimization of an ultra-cold atoms experiment by experts and citizen scientists
• Exploring constrained quantum control landscapes
• Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates
• Application of optimal band-limited control protocols to quantum noise sensing
• Efficient atomic clocks operated with several atomic ensembles
• Maximizing information on the environment by dynamically controlled qubit probes
• Fast closed-loop optimal control of ultracold atoms in an optical lattice
• Experimental demonstration of shaken lattice interferometry
• Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
• Using deep learning to understand and mitigate the qubit noise environment
• Quantum Zeno Dynamics through stochastic protocols
• Stochastic Quantum Zeno by Large Deviation Theory
• Realistic and verifiable coherent control of excitonic states in a light harvesting complex
• Optimal Efficiency of a Noisy Quantum Heat Engine
• On the complexity of controlling quantum many-body dynamics
• Efficiency of quantum controlled non-Markovian thermalization
• Experimental proof of Quantum Zeno-assisted Noise Sensing
• Autonomous Calibration of Single Spin Qubit Operations
• Optimal control under spectral constraints: Enforcing multi-photon absorption pathways
• Noise-robust quantum sensing via optimal multi-probe spectroscopy
• Optimal preparation of quantum states on an atom chip device
• Task-dependent control of open quantum systems
• Robust Magnetometry with Single NV Centers via Two-step Optimization
• Stochastic quantum Zeno-based detection of noise correlations
• Fisher information from stochastic quantum measurements
• Quantum control with noisy fields: computational complexity vs. sensitivity to noise
• Effective description of the short-time dynamics in open quantum systems
• Limits of optimal control yields achievable with quantum controllers
• Information flow and error scaling for fully-quantum control
• Quantum control robust with coupling with an external environment

Cited by in corpus (8)

• Quantum-Noise-Driven Generative Diffusion Models
• Resource-efficient digital characterization and control of classical non-Gaussian noise
• Qubit fidelity under stochastic Schrödinger equations driven by colored noise
• 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