Introduction to Topological Quantum Matter & Quantum Computation
暫譯: 拓撲量子物質與量子計算導論
Stanescu, Tudor D.
- 出版商: CRC
- 出版日期: 2026-05-21
- 售價: $2,580
- 貴賓價: 9.5 折 $2,451
- 語言: 英文
- 頁數: 432
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032127449
- ISBN-13: 9781032127446
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相關分類:
量子 Quantum
尚未上市，無法訂購
商品描述
What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid-state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation?
Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture and emphasizing two major new paradigms in condensed matter physics - quantum topology and quantum information - this book is ideal for graduate students and researchers entering this field, as it allows for the fruitful transfer of ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and unveils the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the toric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems.
Topological quantum computation is also presented using a broad perspective, which includes elements of classical and quantum information theory, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and key ideas underlying quantum computation with anyons. This new edition has been updated throughout, with exciting new discussions on crystalline topological phases, including higher-order topological insulators; gapless topological phases, including Weyl semimetals; periodically-driven topological insulators; and a discussion of axion electrodynamics in topological materials.
Key Features:
- Provides an accessible introduction to this exciting, cross-disciplinary area of research.
- Fully updated throughout with new content on the latest result from the field.
- Authored by an authority on the subject.
商品描述(中文翻譯)
什麼是拓撲量子態中的「拓撲」？拓撲量子相有多少種類型？什麼是零能量的馬約拉納模式（Majorana mode），它如何在固態系統中實現，並且如何用作拓撲量子計算的平台？什麼是量子計算，它與經典計算有何不同？
針對這些及其他相關問題，《拓撲量子物質與量子計算導論》提供了一個引介和綜合的視角，探索這一在凝聚態物理學、數學和計算機科學交匯處迅速擴展的迷人研究領域。該書提供了全局視角，強調凝聚態物理學中的兩個主要新範式——量子拓撲和量子信息，對於進入這一領域的研究生和研究人員來說，這本書是理想的選擇，因為它促進了不同領域之間的思想交流，並包含許多具體範例，幫助讀者理解抽象且有時具有挑戰性的概念。它探索了超越知名的拓撲絕緣體和超導體的拓撲量子世界，並揭示了與量子計算的深層聯繫。它探討了拓撲量子相分類背後的關鍵原則及相關數學概念，並討論了相互作用和非相互作用拓撲系統的模型，例如環面碼（toric code）和p波超導體。該書還涵蓋了任何子（anyons）的基本性質，以及在固態結構和冷原子系統中實現拓撲態的相關方面。
拓撲量子計算也以廣泛的視角呈現，包括經典和量子信息理論的元素、計算理論中的基本概念，如計算模型和計算複雜性、量子算法的範例，以及與任何子進行量子計算的關鍵思想。本版已全面更新，包含有關晶體拓撲相的新討論，包括高階拓撲絕緣體；無能隙拓撲相，包括韋爾半金屬（Weyl semimetals）；周期驅動的拓撲絕緣體；以及在拓撲材料中對阿克西翁電動力學（axion electrodynamics）的討論。
主要特點：
- 提供對這一令人興奮的跨學科研究領域的易懂介紹。
- 全面更新，包含該領域最新成果的新內容。
- 由該主題的權威作者撰寫。
作者簡介
Tudor Stanescu is a professor of Condensed Matter Theory at West Virginia University, USA. He received a B.S. in Physics from the University of Bucharest, Romania, in 1994 and a Ph.D. in Theoretical Physics from the University of Illinois at Urbana Champaign in 2002. He was a Postdoctoral Fellow at Rutgers University and at the University of Maryland from 2003 to 2009. He joined the Department of Physics and Astronomy at West Virginia University in Fall 2009. Prof. Stanescu's research interests encompass a variety of topics in theoretical condensed matter physics including topological insulators and superconductors, topological quantum computation, ultra-cold atom systems in optical lattices, and strongly correlated materials, such as, for example, cuprate high-temperature superconductors. His research uses a combination of analytical and numerical tools and focuses on understanding the emergence of exotic states of matter in solid state and cold atom structures, for example, topological superconducting phases that host Majorana zero modes, and on investigating the possibilities of exploiting these states as physical platforms for quantum computation.
作者簡介(中文翻譯)
Tudor Stanescu 是美國西維吉尼亞大學的凝聚態理論教授。他於1994年在羅馬尼亞布加勒斯特大學獲得物理學學士學位，並於2002年在伊利諾伊大學香檳分校獲得理論物理學博士學位。他在2003年至2009年間擔任羅格斯大學和馬里蘭大學的博士後研究員。2009年秋季，他加入西維吉尼亞大學物理與天文學系。Stanescu教授的研究興趣涵蓋了理論凝聚態物理中的多個主題，包括拓撲絕緣體和超導體、拓撲量子計算、光晶格中的超冷原子系統，以及強相關材料，例如銅氧化物高溫超導體。他的研究結合了分析和數值工具，專注於理解固態和冷原子結構中異常物質狀態的出現，例如，擁有馬約拉納零模的拓撲超導相，以及探討利用這些狀態作為量子計算物理平台的可能性。
