Exploring Practical Methodologies for the Characterization and Control of Small Quantum Systems

quantum;quantum control;quantum information;bayesian inference;benchmarking;quantum characterization;inference

Hincks, Ianadvisor:Cory, David ; advisor:Emerson, Joseph ; affiliation1:Faculty of Mathematics ; Cory, David ; Emerson, Joseph ;

University of Waterloo

关键词: quantum characterization;    benchmarking;    inference;    quantum;    quantum control;    quantum information;    Doctoral Thesis;    bayesian inference;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/13711/1/Hincks_Ian.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

We explore methodologies for characterizing and controlling small quantum systems. We are interested in starting with a description of a quantum system, designing estimators for parameters of the system, developing robust and high-fidelity gates for the system using knowledge of these parameters, and experimentally verifying the performance of these gates. A strong emphasis is placed on using rigorous statistical methods, especially Bayesian ones, to analyze quantum system data. Throughout this thesis, the Nitrogen Vacancy system is used as an experimental testbed. Characterization of system parameters is done using quantum Hamiltonian learning, where we explore the use of adaptive experiment design to speed up learning rates. Gates for the full three-level system are designed with numerical optimal control methods that take intoaccount imperfections of the control hardware. Gate quality is assessed using randomized benchmarking protocols, including standard randomized benchmarking, unitarity benchmarking, and leakage/loss benchmarking.