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SECURITY ANALYSIS OF A BASIS-INDEPENDENT SCHEME FOR QUANTUM CRYPTOGRAPHY

Gelo Noel, M. Tabia

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

To my family, who are always there for me... Acknowledgements First and foremost, I wish to express my sincerest gratitude to my thesis supervisor Prof. Berge Englert, for giving me with an interesting and fascinating topic to explore, for providing me valuable insights at various stages of the project, such as extremely helpful advice on which promising ideas to pursue and which veritable methods to attempt, and most especially for his mild-mannered approach and utmost patience in dealing with my struggles in this entire endeavor. I would also like to express my heartfelt appreciation for all the support I have re-ceived from the Centre for Quantum Technologies, mostly in the form of facilities that definitely eased the burden of the many little chores of research like printing documents. I would also like to thank the NUS Department of Physics for a providing me with a wonderful opportunity to teach tutorial classes during the final stages of my thesis write-up, an experience that I feel will be valuable for many years to come.

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超伝導量子回路を用いた超・深強結合領域における物質と光の相互作用

Ziqiao Ao

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. 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Without question, this is one of the hardest part of the thesis, and where we can commit a mistake forgetting people that helped in this thesis.Therefore, if this occurs, my sincere apologies.I would like to thank my family for their love.For believe me and wish me all the best, for the education and the support.Live far from the family is not easy, but the talks and a few visits help us, and also motivate me to return.A lovely person who helps me in everything, also makes it more easy, and is always on my side.This is my wife.Thank you Joyciane, for help me in everything, for your love, dedication, your patience, mainly in this days of writing the thesis and with the classes, our time together becomes short, but you supported me always.Also for her family, my second family, for their love, confidence, and to consider me as a son.My supervisor Emanuel, for the time dedicated to this thesis.For the patience in reading and correcting this thesis many times, and for teaching me during this period

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names don’t appear on the title page. Foremost among these are my parents, Tom and Bonnie, who did a wonderful job of fostering and supporting my interest in science and academics from an early age and have always encouraged me to pursue my interests. The faculty and staff of the Physics department have also provided a fantastic education and valued guidance whenever needed. The colloquia have provided a wonderful opportunity to hear about new and exciting areas of physics that aren’t necessarily standard parts of the undergraduate curriculum, and the snacks afterwards were never to be missed! I’d also like to thank all of my friends at Williams, especially those in the Physics department and those on the Cross Country team, who have all been incredibly supportive and made my time at Williams all the more enjoyable. Though he has not been directly involved in this research, Prof. Steve Miller has also helped influence this project through my work with him in SMALL 2009, which introduced me to Random Matrix Theory and many other mathematical techniques

•Jan 1, 2010•0 citations
To my family, who are always there for me... Acknowledgements First and foremost, I wish to express my sincerest gratitude to my thesis supervisor Prof. Berge Englert, for giving me with an interesting and fascinating topic to explore, for providing me valuable insights at various stages of the project, such as extremely helpful advice on which promising ideas to pursue and which veritable methods to attempt, and most especially for his mild-mannered approach and utmost patience in dealing with my struggles in this entire endeavor. I would also like to express my heartfelt appreciation for all the support I have re-ceived from the Centre for Quantum Technologies, mostly in the form of facilities that definitely eased the burden of the many little chores of research like printing documents. I would also like to thank the NUS Department of Physics for a providing me with a wonderful opportunity to teach tutorial classes during the final stages of my thesis write-up, an experience that I feel will be valuable for many years to come.
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
Without question, this is one of the hardest part of the thesis, and where we can commit a mistake forgetting people that helped in this thesis.Therefore, if this occurs, my sincere apologies.I would like to thank my family for their love.For believe me and wish me all the best, for the education and the support.Live far from the family is not easy, but the talks and a few visits help us, and also motivate me to return.A lovely person who helps me in everything, also makes it more easy, and is always on my side.This is my wife.Thank you Joyciane, for help me in everything, for your love, dedication, your patience, mainly in this days of writing the thesis and with the classes, our time together becomes short, but you supported me always.Also for her family, my second family, for their love, confidence, and to consider me as a son.My supervisor Emanuel, for the time dedicated to this thesis.For the patience in reading and correcting this thesis many times, and for teaching me during this period
names don’t appear on the title page. Foremost among these are my parents, Tom and Bonnie, who did a wonderful job of fostering and supporting my interest in science and academics from an early age and have always encouraged me to pursue my interests. The faculty and staff of the Physics department have also provided a fantastic education and valued guidance whenever needed. The colloquia have provided a wonderful opportunity to hear about new and exciting areas of physics that aren’t necessarily standard parts of the undergraduate curriculum, and the snacks afterwards were never to be missed! I’d also like to thank all of my friends at Williams, especially those in the Physics department and those on the Cross Country team, who have all been incredibly supportive and made my time at Williams all the more enjoyable. Though he has not been directly involved in this research, Prof. Steve Miller has also helped influence this project through my work with him in SMALL 2009, which introduced me to Random Matrix Theory and many other mathematical techniques