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Linköping studies in science and technology. Dissertations

Development of theoretical approaches for post-silicon information processing

Viktor Ivády

Published Oct 21, 2016• 1 citation
Publisher

Abstract

Despite knowing the fundamental equations in most of the physics research areas, still there is an unceasing need for theoretical method development, thanks to the more and more challenging problems addressed by the research community.The investigation of post-silicon, non-classical information processing is one of the new and rapidly developing areas that requires tremendous amount of theoretical support, new understanding, and accurate theoretical predictions.My thesis focuses on theoretical method development for solid-state quantum information processing, mainly in the field of point defect quantum bits (qubits) in silicon carbide (SiC) and diamond.Due to recent experimental breakthroughs in this field, there are diverse theoretical problems, ranging from functional development for accurate first principles description of point defects, through complete theoretical characterization of qubits, to the modeling and simulation of actual quantum information protocols, that are needed to be addressed.The included articles of this thesis cover the development of (i) hybrid-DFT+V w approach for the first principles description of mixed correlated and uncorrelated systems, (ii) zero-field-splitting tensor calculation for solid-state quantum bit characterization, (iii) a comprehensive model for dynamic nuclear spin polarization of solid-state qubits in semiconductors, and (iv) group theoretical description of qubits and novel two-dimensional materials for topologically protected states.v vi First of all, I would like to thank my main supervisor, Prof. Igor Abrikosov, and my co-supervisors, Prof. Adam Gali and Prof. Erik Janzén, for their great guidance and helpfulness over the years.I appreciate and thank the numerous advice, the valuable discussions and the inspiring ideas.I am particularly grateful to all of them for providing and maintaining an unusual working agreement through which I can experience and learn much more than I could imagine before.Furthermore, I am thankful to Prof. Adam Gali for launching me on my career, helping from the beginning, and for involving me in several collaborations as well as to Prof. Igor Abrikosov for showing me numerous theoretical techniques, guiding me towards method development studies, and for supporting during my PhD studies.I would like to thank all of the members of our Swedish and Hungarian groups for creating a friendly and helpful atmosphere and for always being open for discussions.I am also very grateful to all of my collaborators, particularly from

DOI
10.3384/diss.diva-131853

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Despite knowing the fundamental equations in most of the physics research areas, still there is an unceasing need for theoretical method development, thanks to the more and more challenging problems addressed by the research community.The investigation of post-silicon, non-classical information processing is one of the new and rapidly developing areas that requires tremendous amount of theoretical support, new understanding, and accurate theoretical predictions.My thesis focuses on theoretical method development for solid-state quantum information processing, mainly in the field of point defect quantum bits (qubits) in silicon carbide (SiC) and diamond.Due to recent experimental breakthroughs in this field, there are diverse theoretical problems, ranging from functional development for accurate first principles description of point defects, through complete theoretical characterization of qubits, to the modeling and simulation of actual quantum information protocols, that are needed to be addressed.The included articles of this thesis cover the development of (i) hybrid-DFT+V w approach for the first principles description of mixed correlated and uncorrelated systems, (ii) zero-field-splitting tensor calculation for solid-state quantum bit characterization, (iii) a comprehensive model for dynamic nuclear spin polarization of solid-state qubits in semiconductors, and (iv) group theoretical description of qubits and novel two-dimensional materials for topologically protected states.v vi First of all, I would like to thank my main supervisor, Prof. Igor Abrikosov, and my co-supervisors, Prof. Adam Gali and Prof. Erik Janzén, for their great guidance and helpfulness over the years.I appreciate and thank the numerous advice, the valuable discussions and the inspiring ideas.I am particularly grateful to all of them for providing and maintaining an unusual working agreement through which I can experience and learn much more than I could imagine before.Furthermore, I am thankful to Prof. Adam Gali for launching me on my career, helping from the beginning, and for involving me in several collaborations as well as to Prof. Igor Abrikosov for showing me numerous theoretical techniques, guiding me towards method development studies, and for supporting during my PhD studies.I would like to thank all of the members of our Swedish and Hungarian groups for creating a friendly and helpful atmosphere and for always being open for discussions.I am also very grateful to all of my collaborators, particularly from
This review provides an overview of defects in silicon carbide (SiC) with potential applications as quantum qubits. It begins with a brief introduction to quantum qubits and existing qubit platforms, outlining the essential criteria a defect must meet to function as a viable qubit. The focus then shifts to the most promising defects in SiC, notably the silicon vacancy (VSi) and divacancy (VC-VSi). A key challenge in utilizing these defects for quantum applications is their precise and controllable creation. Various fabrication techniques, including irradiation, ion implantation, femtosecond laser processing, and focused ion beam methods, have been explored to create these defects. Designed as a beginner-friendly resource, this review aims to support early-career experimental researchers entering the field of SiC-related quantum qubits. Providing an introduction to defect-based qubits in SiC offers valuable insights into fabrication strategies, recent progress, and the challenges that lie ahead.
This thesis describes studies on atomic point defects in semiconductors for applications in quantum information. In particular, its focus is on defects whose energy levels reside deep within the bandgap certain semiconductors because these systems can behave like artificial trapped atoms in the solid state, possessing optical addressability, long coherence times, and the ability to be manipulated at microwave frequencies. The most prominent defect in this field of study is the diamond nitrogen-vacancy center, whose functionality is well-known to persist to ambient temperature. The first part of this thesis investigates the persistence of this functionality to temperatures upwards of 600 K. Importantly, these investigations also demonstrate that the diamond nitrogen-vacancy center can be a sensitive thermometer (~10 mK/Hz^(1/2)) over a wide range of temperatures with nanoscale spatial resolution. The latter part of the thesis describes experimental measurements of divacancy defects in silicon carbide, a potential alternative materials host to diamond with established wafer-scale growth and microfabrication capabilities. Single divacancy spins are isolated and coherently controlled for the first time in the 4H polytype of silicon carbide, and the divacancy's coherence is shown to be a remarkably long T2 = 1.2 ms at T = 20 K. The last chapter extends these results by isolating single divacancies in the 3C polytype, experimentally demonstrating a qualitative and quantitative model of their spin and orbital dynamics, and revealing the divacancy's excited state level structure in both the 3C and 4H polytypes using resonant laser techniques. These excited state transitions are shown to posses a structure identical to the diamond nitrogen-vacancy center and a subset are shown to have favorable cycling properties. The location of a clear spin-photon interface has important implications for high-fidelity quantum state readout and photon-based entanglement schemes that use divacancy spins.
English: Since its genesis, quantum mechanics has proved to be a very accurate model for predicting the behavior of the world below the nanoscale. However, crucial breakthroughs in technology were needed in order to be able to effectively access and manipulate such small magnitudes. During the last twenty years, the field of quantum information processing has experienced a growing interest, in its many variants, both theoretically and practically. Despite being still at a very basic stage, expectations are high. The uniqueness of quantum phenomena (superposition of states, creation of entanglement, etc.) have no classical analogue and allow novelties such as another paradigm of computation, more secure communications, quantum teleportation, quantum dense coding, etc. which are presented and analyzed here. The aim of this Thesis is to present in a unified way the main mathematical methods used in quantum information processing, as well as the state of the art of their corresponding technological implementations. Our contributions are based in making a self-contained presentation; seeking completeness, that is, treating the most relevant fields of research involved, focusing on their relations; and picking the most relevant, insightful references, given the quantity of literature produced in this field. We also discuss some of the fundamental questions that remain still unanswered, and which are the current lines of research to shed light on them.
The development of quantum electrodynamics (QED), which studies the light-matter interaction in quantum level, has been accompanied by the enhancement of the coupling strength g between an atom (matter) and an electromagnetic (EM) field (light).With the introduction of a cavity, forming a cavity QED system, the coupling strength reached weak coupling (WC) and strong coupling (SC) regime.These regimes are defined by the system dissipations, the atom decay rate γ and the cavity decay rate κ, where g ≪ γ, κ for the WC regime and g ≫ γ, κ for the SC regime.Especially for the SC regime, the energy exchange between the atom and the EM field can happen repeatedly before the system losses the energy.This physical property enables quantum state manipulation in First and foremost, I would like to express my sincere appreciation to my principal supervisor, Takao Aoki, for his advice and support during my PhD studies.He is the first person who welcomed me to the field of cavity quantum electrodynamics at the end my third-year as an undergraduate student.Then, when I proposed to go to NICT and study about circuit QED and USC/DSC regimes, he agreed and quickly worked on the joined research contract, which yield the contents of this thesis.I still remember his words, "the Hamiltonian is the same anyway", which he said after agreeing my proposal.I also would like to thank him to allow me to the Leading Graduate Program in Science and Engineering and Power Energy Professional WISE Program.These programs require extra work for some unique curriculums, such as Lab.Rotations, internship and studying abroad.He has been supportive and flexible all the time and gave me full room to what I needed to do.All these works could not be done without support and guidance.Next, I would like to thank the members of Macroscopic Quantum Physics Project, National Institute of Information and Communication Technologies (NICT).I greatly appreciate Kouichi Semba, the leader of the project, letting me join the team and supported my PhD studies.He recommended me to Prof. William D. Oliver at MIT which made my visiting stay at EQuS at MIT become true.I also want to thank you him for applying for the fund by CREST which greatly helped me financially for a period of working at NICT.His advices and supports were not only very helpful for the works but also enriched my life.Fumiki Yoshihara was my mentor all the time during these works.He told me how to design and analyze the circuits, prepare the samples and operate the systems for experiments.He always answered me when I face problems and help me solve them, even they are easy ones.It has to be pointed out that he gave me the idea coupling the qubit to multiple modes in the resonator.This research topic has been tough due to its complicity, yet also been fun to mess around.I also appreciate he invited me to the soccer games during the lunch breaks.The cryostat which I used to cool the circuits was mostly prepared by Tomoko Fuse.She also told me how to prepare the cryostat and manage the cables inside it.Her advices and comments on my works were always greatly helpful.As a theorist Sahel Ashhab supported my works from the basic ideas.His advices helped me a lot to understand what is happening in the systems.He also helped me analyze the multimode circuit QED system by carefully deriving the expressions.I would like to thank the of the group, Sunmi Kim, with the discussions over chip designs and preparation of the Lab.At the end, I thank Akiko Hoshi for dealing all the paper works and Takashi Nakayama for helping me with the coding and equipment preparation.Thirdly, I would like to thank Shiro Saito and Kosuke Kakuyanagi from Superconducting Quantum Circuits Research Group at NTT Basic Research Laboratories.As the co-authors, they fabricated the samples with maximum care.I also appreciate the discussions about the experimental results where they always gave helpful advices and suggestions.I would like to thank all the members for the discussions during my iii internship at the same group.I especially thank Shiro Saito and Satoru Toida, the mentor during the internship, to let me join the group and conduct experiments.It was a great experience to work with the top-level researchers around the globe.I also would like to thank my two supervisors of the two Lab.Rotations, Kazuya Yuasa and Hiroshi Kawarada, for giving me the opportunity to join them.Although they were for a short period of time, the experiences broaden my interests towards science and engineering and will be surely valuable for me.I am deeply grateful to my supervisor of Engineering Quantum Systems group, William D. Oliver, for making me joining with he and the other Laboratory members and hosted my stay.I also appreciate the discussions and works with Roni Winik, who patiently explained his research and brought me in with his research topic.I spent a great time discussing and chatting with the group members and enjoyed working with them.I also want to thank William D. Oliver who applied a
Approved by Supervising Committee: For my parents. Thank you for your love and support. Acknowledgments First of all, I would like to thank my supervisor, Prof. Mark Raizen. Mark, you allowed me great freedom in my work and put a lot of trust in me. Nevertheless, you were always there with good advice and great ideas when I needed you. I am very proud that I was given the opportunity to work in your group. Thank you for supporting me during my time in Austin and beyond. I am equally thankful to my fellow group members and friends Adam Libson, Dr. Ed Narevicius and Christian Parthey. Everything we accomplished during the last one and a half years was a group effort and they are the main reason I am writing this thesis using the pronoun “we”. Adam, although you sometimes “unnerved ” us with your constant fear of leaks or fatal rotor destruction, I wouldn’t have wanted to work with anybody else than you on this project. You often foresaw problems we would have easily
Traditional electronic and communication devices operate by processing binary information encoded as bits. Such digital devices have led to the most advanced technologies that we encounter in our everyday lives and they influence virtually every aspect of our society. Nonetheless, there exists a much richer way to encode and process information. By encoding information in quantum mechanical states as qubits, phenomena such as coherence and entanglement can be harnessed to execute tasks that are intractable to digital devices. Under this paradigm, it should be possible to realize quantum computers, quantum communication networks and quantum sensors that outperform their classical counterparts. The electronic spin states of color-center defects in the semiconductor silicon carbide have recently emerged as promising qubit candidates. They have long-lived quantum coherence up to room temperature, they can be controlled with mature magnetic resonance techniques, and they have a built-in optical interface operating near the telecommunication bands. In this thesis I will present two of our contributions to this field. The first is the electric-field control of electron spin qubits. This development lays foundation for quantum electronics that operate via electrical gating, much like traditional electronics. The second is the universal control and entanglement of electron and nuclear spin qubits in an ensemble under ambient conditions. This development lays foundation for quantum devices that have a built-in redundancy and can operate in real-world conditions. Both developments represent important steps towards practical quantum devices in an electronic grade material.