Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society,
تاریخ نشرو بخش و غیره
c2010
مشخصات ظاهری
نام خاص و کميت اثر
xiii, 115 p. :
ساير جزييات
ill. ;
ابعاد
26 cm
فروست
عنوان فروست
Conference Board of the Mathematical Sciences. CBMS regional conference series in mathematics ;
مشخصه جلد
no. 112
يادداشت کلی
متن يادداشت
"This book expands the plan of the author's 2008 NSF-CBMS lectures on knots and topological quantum computing."--Pref
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references
یادداشتهای مربوط به مندرجات
متن يادداشت
Temperley-Lieb-Jones theories -- Quantum circuit model -- Approximation of the Jones polynomial -- Ribbon fusion categories -- (2+1)-TQFTs -- TQFTs in nature -- Topological quantum computers -- Topological phases of matter -- Outlook and open problems
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators. This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter."--Publisher's description
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Complex manifolds, Congresses
موضوع مستند نشده
Quantum computers, Congresses
موضوع مستند نشده
Quantum theory, Congresses
رده بندی ديویی
شماره
515/
.
946
ويراست
22
رده بندی کنگره
شماره رده
QA1
شماره رده
QA613
.
2
نشانه اثر
.
R33
no
.
112
نشانه اثر
.
W36
2010
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Wang, Zhenghan
نام تنالگان _ (مسئولیت معنوی برابر)
مستند نام تنالگان تاييد نشده
NSF-CBMS Regional Conference on Topological Quantum Computation(2008 :, University of Central Oklahoma)