Compensating for non-linear distortions in controlled quantum systems

Abstract

Predictive design and optimization methods for controlled quantum systems depend on the accuracy of the system model. Any distortion of the input fields in an experimental platform alters the model accuracy and eventually disturbs the predicted dynamics. These distortions can be non-linear with a strong frequency dependence so that the field interacting with the microscopic quantum system has limited resemblance to the input signal. We present an effective method for estimating these distortions which is suitable for non-linear transfer functions of arbitrary lengths and magnitudes provided the available training data has enough spectral components. Using a quadratic estimation, we have successfully tested our approach for a numerical example of a single Rydberg atom system. The transfer function estimated from the presented method is incorporated into an open-loop control optimization algorithm allowing for high-fidelity operations in quantum experiments.

arXiv comment15 pages, 10 figures

References in corpus (58)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum information with Rydberg atoms
• Quantum computing with trapped ions
• Shortcuts to adiabaticity: concepts, methods, and applications
• Nonlinear atom interferometer surpasses classical precision limit
• Control of quantum phenomena: Past, present, and future
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• A Rydberg Quantum Simulator
• Training Schrödinger's cat: quantum optimal control
• Time Optimal Control in Spin Systems
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Optimal control technique for Many Body Quantum Systems dynamics
• Chopped random-basis quantum optimization
• Entangling Atomic Spins with a Strong Rydberg-Dressed Interaction
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Quantum Brachistochrone
• Optimal control theory for unitary transformations
• Second order gradient ascent pulse engineering
• Hybrid Quantum-Classical Approach to Quantum Optimal Control
• Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
• Optimal quantum control using randomized benchmarking
• Sub-Riemannian Geometry and Time Optimal Control of Three Spin Systems: Quantum Gates and Coherence Transfer
• Experimental investigations of the dipolar interactions between single Rydberg atoms
• Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
• Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
• Adaptive hybrid optimal quantum control for imprecisely characterized systems
• Optimal control methods for fast time-varying Hamiltonians
• Krotov: A Python implementation of Krotov's method for quantum optimal control
• One decade of quantum optimal control in the chopped random basis
• Optimal simulation of two-qubit Hamiltonians using general local operations
• Robustness of high-fidelity Rydberg gates with single-site addressability
• Improving quantum gate fidelities by using a qubit to measure microwave pulse distortions
• Controlling the Dynamics of Many-Electron Systems from First Principles: A Marriage of Optimal Control and Time-Dependent Density-Functional Theory
• Interaction cost of non-local gates
• Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
• Restless Tuneup of High-Fidelity Qubit Gates
• Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates
• Counteracting systems of diabaticities using DRAG controls: The status after 10 years
• Accounting for Classical Hardware in the Control of Quantum Devices
• Estimating the coherence of noise in quantum control of a solid-state qubit
• Implementation of Fault-tolerant Quantum Logic Gates via Optimal Control
• Backaction driven, robust, steady-state long-distance qubit entanglement over lossy channels
• Elliptic functions and efficient control of Ising spin chains with unequal couplings
• Time-Optimal Transfer of Coherence
• Hessian-based optimization of constrained quantum control
• Optimal Control of Hybrid Optomechanical Systems for Generating Non-Classical States of Mechanical Motion
• Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain
• Time-optimal synthesis of unitary transformations in coupled fast and slow qubit system
• Multiple-spin coherence transfer in linear Ising spin chains and beyond: numerically-optimized pulses and experiments
• Gate simulation and lower bounds on the simulation time
• Feedback control optimisation of ESR experiments
• Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Consideration of filter effects
• Optimal generation of Fock states in a weakly nonlinear oscillator
• Analytic Filter Function Derivatives for Quantum Optimal Control
• Time-optimal polarization transfer from an electron spin to a nuclear spin
• Optimization of Pulses with Low Bandwidth for Improved Excitation of Multiple-Quantum Coherences in NMR of Quadrupolar Nuclei
• Quantum Control of Two-Qubit Entanglement Dissipation

Cited by in corpus (5)

• Instrumental distortions in quantum optimal control
• Compact optical waveform generator with digital feedback
• Deciding finiteness of bosonic dynamics with tunable interactions
• In-situ characterization of qubit drive-phase distortions
• Rapid transform optimisation strategy for decoherence-protected quantum register in diamond