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.

15 pages, 10 figures

References in corpus (11)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum computing with trapped ions
• Nonlinear atom interferometer surpasses classical precision limit
• One decade of quantum optimal control in the chopped random basis
• Integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits
• Implementation of Fault-tolerant Quantum Logic Gates via Optimal Control
• Elliptic functions and efficient control of Ising spin chains with unequal couplings
• Hessian-based optimization of constrained quantum control
• Time-optimal synthesis of unitary transformations in coupled fast and slow qubit system
• Analytic Filter Function Derivatives for Quantum Optimal Control
• Optimization of Pulses with Low Bandwidth for Improved Excitation of Multiple-Quantum Coherences in NMR of Quadrupolar Nuclei

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