Browsing by Subject "Optimal control"

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  • Lappi, Pauli Antero; Ollikainen, Markku Martti Olavi (2019)
    This study analyzes socially optimal environmental policy for a mine with a model that takes into account waste or waste rock production and abatement possibilities of the mine. We develop a model, in which the mine produces an externality related to the waste rocks, such as acid mine drainage. We find that the extraction rate tends to be lower in a mine with higher waste rock production, and that the optimal tax on the waste rock production is strictly increasing in time. We extend the model to incorporate an additional externality in the form of a stock pollutant. We analyze the optimal taxes and show that the typical result that the time path of the tax on the stock pollutant is inverted U-shaped may be lost in a mine model with abatement possibility and fixed operation period.
  • Suominen, Heikki (Helsingin yliopisto, 2022)
    Quantum computers are one of the most prominent emerging technologies of the 21st century. While several practical implementations of the qubit—the elemental unit of information in quantum computers—exist, the family of superconducting qubits remains one of the most promising platforms for scaled-up quantum computers. Lately, as the limiting factor of non-error-corrected quantum computers has began to shift from the number of qubits to gate fidelity, efficient control and readout parameter optimization has become a field of significant scientific interest. Since these procedures are multibranched and difficult to automate, a great deal of effort has gone into developing associated software, and even technologies such as machine learning are making an appearance in modern programs. In this thesis, we offer an extensive theoretical backround on superconducting transmon qubits, starting from the classical models of electronic circuits, and moving towards circuit quantum electrodynamics. We consider how the qubit is controlled, how its state is read out, and how the information contained in it can become corrupted by noise. We review theoretical models for characteristic parameters such as decoherence times, and see how control pulse parameters such as amplitude and rise time affect gate fidelity. We also discuss the procedure for experimentally obtaining characteristic qubit parameters, and the optimized randomized benchmarking for immediate tune-up (ORBIT) protocol for control pulse optimization, both in theory and alongside novel experimental results. The experiments are carried out with refactored characterization software and novel ORBIT software, using the premises and resources of the Quantum Computing and Devices (QCD) group at Aalto University. The refactoring project, together with the software used for the ORBIT protocol, aims to provide the QCD group with efficient and streamlined methods for finding characteristic qubit parameters and high-fidelity control pulses. In the last parts of the thesis, we evaluate the success and shortcomings of the introduced projects, and discuss future perspectives for the software.