자료유형  

 학위논문

Control Number  

0017163217

International Standard Book Number  

9798384052500

Dewey Decimal Classification Number  

530

Main Entry-Personal Name  

Osborne, Andrew Maliek Yahyaev.

Publication, Distribution, etc. (Imprint  

[S.l.] : University of Colorado at Boulder., 2024

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Physical Description  

219 p.

General Note  

Source: Dissertations Abstracts International, Volume: 86-03, Section: B.

General Note  

Advisor: Lucas, Andrew.

Dissertation Note  

Thesis (Ph.D.)--University of Colorado at Boulder, 2024.

Summary, Etc.  

요약In the endeavor to design and implement useful quantum computers, various platforms have seen varying levels of success, and the route to the era of fully scalable quantum computing remains shrouded in mystery. One such platform for quantum computation is superconducting circuits, which are a fruitful environment for the observation of quantum physics on mesoscopic scales. In any effort to characterize the quantum behavior of superconducting circuits, a classical theory of circuits with a straightforward route to quantization is necessary. In this thesis, we approach the problem of establishing a maximally general theory of circuits. First, we formalize a framework wherein a classical Hamiltonian may be derived for an arbitrary nondissipative circuit, assuming only that Kirchhoff's laws admit a unique solution. We also provide an algorithm for deriving such Hamiltonians, and prove that it may always be executed successfully for nonsingular circuits. Secondly, we generalize the aforementioned framework in such a way that circuit duality is manifestly a relabeling transformation while providing novel insight into the ill-behaved properties of nonplanar circuit duals. Finally, we produce an even more general framework that captures the classical behavior of even dissipative circuits, including a formal argument that Johnson-Nyquist noise applies to all linear resistors and a derivation of Johnson-Nyquist noise for nonlinear resistors. We derive a principle of least action from which one may derive Langevin and Fokker-Planck equations describing the dynamics of circuits with linear and nonlinear dissipative elements alike.

Subject Added Entry-Topical Term  

Condensed matter physics.

Subject Added Entry-Topical Term  

Applied physics.

Subject Added Entry-Topical Term  

Applied mathematics.

Subject Added Entry-Topical Term  

Quantum physics.

Subject Added Entry-Topical Term  

Electrical engineering.

Index Term-Uncontrolled  

Quantum computers

Index Term-Uncontrolled  

Superconducting circuits

Index Term-Uncontrolled  

Hamiltonian mechanics

Index Term-Uncontrolled  

Lagrangians

Index Term-Uncontrolled  

Fokker-Planck equation

Added Entry-Corporate Name  

University of Colorado at Boulder Physics

Host Item Entry  

Dissertations Abstracts International. 86-03B.

Electronic Location and Access  

로그인을 한후 보실 수 있는 자료입니다.

Control Number  

joongbu:656615