자료유형  

 학위논문

Control Number  

0017163776

International Standard Book Number  

9798342117623

Dewey Decimal Classification Number  

620

Main Entry-Personal Name  

Chen, Penghua.

Publication, Distribution, etc. (Imprint  

[S.l.] : Purdue University., 2024

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Physical Description  

131 p.

General Note  

Source: Dissertations Abstracts International, Volume: 86-04, Section: B.

General Note  

Advisor: Cui, Xingshan;Lyanda-Geller, Yuli.

Dissertation Note  

Thesis (Ph.D.)--Purdue University, 2024.

Summary, Etc.  

요약This chapter contains work from the article entitled "Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras" written by Bowen Yan, the author, and Shawn X. Cui published on Journal of Physics A [1], and the article entitled "Quantum circuits for toric code and X-cube fracton model" written by the author, Bowen Yan, and Shawn X. Cui published on Quantum [2], and the article entitled "Representing Arbitrary Ground States of Toric Code by Restricted Boltzmann Machine" written by the author, Bowen Yan, and Shawn X. Cui preprinted on arXiv [3].In an era characterized by escalating technological complexity and an ever-increasing demand for computational power, the semiconductor industry confronts a formidable obstacle. Traditional chip development paradigms, reliant on relentless miniaturization, are increasingly strained by the unyielding physical limits of the atomic scale. At these microscopic dimensions, atoms themselves define the frontier of computational power, subject to the esoteric influences of quantum mechanical effects. Consequently, the quest for next-generation computing paradigms has taken on an unprecedented urgency. Quantum computing, boasting the potential to eclipse the computational capabilities of classical computers, has emerged as a promising contender. The shift toward quantum computing represents more than an option-it is a necessity, offering a vital lifeline for an industry grappling with its own physical boundaries.However, the nascent field of quantum computing presents its own unique challenges. Notably, three promising approaches are currently at the cutting edge: Superconducting Circuits, Trapped Ions, and Topological Qubits. Superconducting circuits employ superconducting qubits that function as artificial atoms. Leveraging established silicon chip fabrication techniques, this approach affords significant scalability and has already demonstrated successful execution of select quantum algorithms. Yet, this method grapples with relatively short coherence times and high error rates, limiting the complexity of quantum computations that can be feasibly executed [4], [5]. The trapped ions approach, on the other hand, utilizes electromagnetic fields to confine ions, employing lasers to perform quantum operations.Although it offers longer coherence times and lower error rates compared to superconducting circuits, scaling trapped ion systems to the number of qubits required for practical quantum computation is a substantial challenge [6]. The topological qubits approach uses anyons in 2D systems to perform quantum operations. Theoretically, this system could offer the longest coherence time and the lowest error rate, as the information is stored non-locally, providing a kind of topological protection. However, as it stands, there are no reported instances of a successful creation of a topological qubit. Despite this, the robustness of topological states to local perturbations offers the potential to surmount current limitations, paving the way for the next generation of computational systems [7], [8].The subject of topological phases of matter (TPMs) has has seen a surge of intensive research over the past few decades. Unlike conventional states described by Landau's theory of spontaneous symmetry breaking and local order parameters, topological phasesgapped spin liquids at low temperaturesare characterized by a new order, topological order. The ground states of a topological phase possess stable degeneracy and robust long range entanglement. Moreover, topological phases in 2D support quasi-particle excitations (aka anyons), and potentially non-Abelian exchange statistics.

Subject Added Entry-Topical Term  

Circuits.

Subject Added Entry-Topical Term  

Quantum computing.

Subject Added Entry-Topical Term  

Quantum field theory.

Subject Added Entry-Topical Term  

Algebra.

Subject Added Entry-Topical Term  

Python.

Subject Added Entry-Topical Term  

Semiconductors.

Subject Added Entry-Topical Term  

Hilbert space.

Subject Added Entry-Topical Term  

Neural networks.

Subject Added Entry-Topical Term  

Computer science.

Subject Added Entry-Topical Term  

Electrical engineering.

Subject Added Entry-Topical Term  

Mathematics.

Subject Added Entry-Topical Term  

Quantum physics.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 86-04B.

Electronic Location and Access  

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Control Number  

joongbu:657157