Optimal Control in Disordered Quantum Systems

Abstract

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this, we then show how this approach can be effectively adapted to control a disordered quantum system. We consider two settings: optimal control for a known unwanted disorder pattern, i.e. a specific disorder realisation, and optimal control where only the statistical properties of disorder are known, i.e. optimizing for high average fidelities. In the former, disorder effects can be effectively mitigated for an appropriately chosen control protocol. However, in the latter setting the average fidelity can only be marginally improved, suggesting the presence of a fundamental lower bound.

10 pages, 7 figures, 1 table. Close to published version

References in corpus (24)

• The Quantum Internet
• Coupling Superconducting Qubits via a Cavity Bus
• Fast atomic transport without vibrational heating
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Perfect quantum state transfer with randomly coupled quantum chains
• Adiabatic tracking of quantum many-body dynamics
• Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
• Communication at the quantum speed limit along a spin chain
• Optimal transport of ultracold atoms in the non-adiabatic regime
• One decade of quantum optimal control in the chopped random basis
• From perfect to fractal transmission in spin chains
• Identifying optimal cycles in quantum thermal machines with reinforcement-learning
• Dynamics and Control of a Quasi-1D Spin System
• Efficient quantum state transfer in spin chains via adiabatic passage
• A differentiable programming method for quantum control
• Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
• Optimal control of quantum thermal machines using machine learning
• Predicting quantum dynamical cost landscapes with deep learning
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Fast and robust magnon transport in a spin chain
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit
• Automatic Differentiable Numerical Renormalization Group
• Optimal control of many-body quantum dynamics: chaos and complexity
• Guided magnon transport in spin chains: transport speed and correcting for disorder

Cited by in corpus (8)

• Pareto-optimal cycles for power, efficiency and fluctuations of quantum heat engines using reinforcement learning
• Universally Robust Quantum Control
• Intrinsic decoherence effects on correlated coherence and quantum discord in XXZ Heisenberg model
• Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Exploring Quantum Control Landscape and Solution Space Complexity through Dimensionality Reduction & Optimization Algorithms
• Ergotopy transport in a one dimensional spin chain
• Differentiable master equation solver for quantum device characterisation