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Quantum Codes for Topological Quantum Computation, Albuquerque


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Цена: 7685.00р.
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Автор: Albuquerque
Название:  Quantum Codes for Topological Quantum Computation
ISBN: 9783031068324
Издательство: Springer
Классификация:



ISBN-10: 3031068327
Обложка/Формат: Soft cover
Страницы: 116
Вес: 0.20 кг.
Дата издания: 19.08.2022
Серия: SpringerBriefs in Mathematics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 19 illustrations, color; 11 illustrations, black and white; viii, 116 p. 30 illus., 19 illus. in color.
Размер: 155 x 234 x 10
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and classical and quantum coding theory to help readers understand and develop quantum codes for topological quantum computation. One possible approach to building a quantum computer is based on surface codes, operated as stabilizer codes. The surface codes evolved from Kitaevs toric codes, as a means to developing models for topological order by using qubits distributed on the surface of a toroid. A significant advantage of surface codes is their relative tolerance to local errors. A second approach is based on color codes, which are topological stabilizer codes defined on a tessellation with geometrically local stabilizer generators. This book provides basic geometric concepts, like surface geometry, hyperbolic geometry and tessellation, as well as basic algebraic concepts, like stabilizer formalism, for the construction of the most promising classes of quantum error-correcting codes such as surfaces codes and color codes. The book is intended for senior undergraduate and graduate students in Electrical Engineering and Mathematics with an understanding of the basic concepts of linear algebra and quantum mechanics.
Дополнительное описание: Introduction.- Review of Mathematical Concepts.- Topological Quantum Codes.- Color Codes.- The Interplay between Color Codes and Toric Codes.



Introduction to quantum mechanics

Автор: Griffiths, David J. (reed College, Oregon) Schroet
Название: Introduction to quantum mechanics
ISBN: 1107189632 ISBN-13(EAN): 9781107189638
Издательство: Cambridge Academ
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Цена: 8710.00 р.
Наличие на складе: Есть (1 шт.)
Описание: This widely-used and time-tested textbook is indispensable for teachers and students of quantum mechanics, one of the essential foundations of modern physics. It is also useful as a reference for those in related fields (engineering, mathematics, chemistry), or for self-study by non-professionals.

Mathematics of Quantum Computation and Quantum Technology

Название: Mathematics of Quantum Computation and Quantum Technology
ISBN: 0367388618 ISBN-13(EAN): 9780367388614
Издательство: Taylor&Francis
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Цена: 9798.00 р.
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Описание:

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation and Quantum Technology explores the rapid mathematical advancements made in this field in recent years.

Novel Viewpoints on Numerous Aspects of Quantum Computing and Technology
Edited by a well-respected team of experts, this volume compiles contributions from specialists across various disciplines. It contains four main parts, beginning with topics in quantum computing that include quantum algorithms and hidden subgroups, quantum search, algorithmic complexity, and quantum simulation. The next section covers quantum technology, such as mathematical tools, quantum wave functions, superconducting quantum computing interference devices (SQUIDs), and optical quantum computing. The section on quantum information deals with error correction, cryptography, entanglement, and communication. The final part explores topological quantum computation, knot theory, category algebra, and logic.

The Tools You Need to Tackle the Next Generation of Quantum Technology
This book facilitates both the construction of a common quantum language and the development of interdisciplinary quantum techniques, which will aid efforts in the pursuit of the ultimate goal-a real scalable quantum computer.

Quantum Computation with Topological Codes

Автор: Keisuke Fujii
Название: Quantum Computation with Topological Codes
ISBN: 9812879951 ISBN-13(EAN): 9789812879950
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological fault-tolerant operations.

Principles of Quantum Computation and Information: A Comprehensive Textbook

Автор: Benenti Giuliano, Casati Giulio, Rossini Davide
Название: Principles of Quantum Computation and Information: A Comprehensive Textbook
ISBN: 9813237228 ISBN-13(EAN): 9789813237223
Издательство: World Scientific Publishing
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Цена: 22968.00 р.
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Описание: 'The book is a useful compendium of most significant topics in quantum information and computation ... It is readable by any undergraduate or graduate student in physics, mathematics, computer science, chemistry or engineering ... The book has a simple, attractive, easy to grasp and systematic treatment, with the final goal to be used as a substantial wide-ranging primer and single comprehensive material for quantum computation and information without the need for consulting supplementary texts.'Contemporary PhysicsQuantum computation and information is a rapidly developing interdisciplinary field. It is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader with a useful guide. In particular, the initial chapters offer a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required.Various important aspects of quantum computation and information are covered in depth, starting from the foundations (the basic concepts of computational complexity, energy, entropy, and information, quantum superposition and entanglement, elementary quantum gates, the main quantum algorithms, quantum teleportation, and quantum cryptography) up to advanced topics (like entanglement measures, quantum discord, quantum noise, quantum channels, quantum error correction, quantum simulators and tensor networks).It can be used as a broad range textbook for a course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science, as well as for researchers interested in some of the latest spin-off of the field, including the use of quantum information in the theories of many-body systems.

Introduction to Topological Quantum Matter & Quantum Computation

Автор: Tudor D. Stanescu
Название: Introduction to Topological Quantum Matter & Quantum Computation
ISBN: 1482245930 ISBN-13(EAN): 9781482245936
Издательство: Taylor&Francis
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Цена: 16078.00 р.
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Описание:

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, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and 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 emphasizes 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 torric 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.

Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.

Topological Orders with Spins and Fermions

Автор: Laura Ortiz Mart?n
Название: Topological Orders with Spins and Fermions
ISBN: 303023648X ISBN-13(EAN): 9783030236489
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

This thesis deals with topological orders from two different perspectives: from a condensed matter point of view, where topological orders are considered as breakthrough phases of matter; and from the emerging realm of quantum computation, where topological quantum codes are considered the most appealing platform against decoherence.
The thesis reports remarkable studies from both sides. It thoroughly investigates a topological order called the double semion model, a counterpart of the Kitaev model but exhibiting richer quasiparticles as excitations. A new model for symmetry enriched topological order is constructed, which adds an onsite global symmetry to the double semion model. Using this topological phase, a new example of topological code is developed, the semion code, which is non-CSS, additive, non-Pauli and within the stabiliser formalism.
Furthermore, the thesis analyses the Rashba spin-orbit coupling within topological insulators, turning the helical edge states into generic edges modes with potential application in spinstronics. New types of topological superconductors are proposed and the novel properties of the correspondingly created Majorana fermions are investigated. These Majorana fermions have inherent properties enabling braiding and the performance of logical gates as fundamental blocks for a universsal quantum computator.
Topological Orders with Spins and Fermions: Quantum Phases and Computation

Автор: Martнn Laura Ortiz
Название: Topological Orders with Spins and Fermions: Quantum Phases and Computation
ISBN: 303023651X ISBN-13(EAN): 9783030236519
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This thesis deals with topological orders from two different perspectives: from a condensed matter point of view, where topological orders are considered as breakthrough phases of matter;

Introduction to Topological Quantum Matter & Quantum Computation

Автор: Stanescu, Tudor D.
Название: Introduction to Topological Quantum Matter & Quantum Computation
ISBN: 036757411X ISBN-13(EAN): 9780367574116
Издательство: Taylor&Francis
Рейтинг:
Цена: 7042.00 р.
Наличие на складе: Поставка под заказ.

Introduction to topological quantum computation

Автор: Pachos, Jiannis K. (university Of Leeds)
Название: Introduction to topological quantum computation
ISBN: 1107005043 ISBN-13(EAN): 9781107005044
Издательство: Cambridge Academ
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Цена: 7760.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In this book, a variety of different topics are presented together for the first time, forming a thorough introduction to topological quantum computation. Keeping high-level and technical language to a minimum, the author adopts a pedagogical style, making the book accessible to non-specialists and researchers from a variety of sub-disciplines.

Introduction to Topological Quantum Matter & Quantum Computation

Автор: Stanescu, Tudor D
Название: Introduction to Topological Quantum Matter & Quantum Computation
ISBN: 1032126523 ISBN-13(EAN): 9781032126524
Издательство: Taylor&Francis
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Цена: 12554.00 р.
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Elements of Quantum Computation and Quantum Communication

Автор: Pathak, Anirban
Название: Elements of Quantum Computation and Quantum Communication
ISBN: 0367379872 ISBN-13(EAN): 9780367379872
Издательство: Taylor&Francis
Рейтинг:
Цена: 9798.00 р.
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Описание:

While there are many available textbooks on quantum information theory, most are either too technical for beginners or not complete enough. Filling this gap, Elements of Quantum Computation and Quantum Communication gives a clear, self-contained introduction to quantum computation and communication. Written primarily for undergraduate students in physics, mathematics, computer science, and related disciplines, this introductory text is also suitable for researchers interested in quantum computation and communication.

Developed from the author's lecture notes, the text begins with developing a perception of classical and quantum information and chronicling the history of quantum computation and communication. It then covers classical and quantum Turing machines, error correction, the quantum circuit model of computation, and complexity classes relevant to quantum computing and cryptography. After presenting mathematical techniques frequently used in quantum information theory and some basic ideas from quantum mechanics, the author describes quantum gates, circuits, algorithms, and error-correcting codes. He also explores the significance and applications of two unique quantum communication schemes: quantum teleportation and superdense coding. The book concludes with various aspects of quantum cryptography.

Exploring recent developments and open questions in the field, this text prepares readers for further study and helps them understand more advanced texts and journal papers. Along with thought-provoking cartoons and brief biographies of key players in the field, each chapter includes examples, references, exercises, and problems with detailed solutions.

Quantum Computation and Quantum Information

Автор: Nielsen
Название: Quantum Computation and Quantum Information
ISBN: 1107002176 ISBN-13(EAN): 9781107002173
Издательство: Cambridge Academ
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Цена: 9502.00 р.
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Описание: A decade after it was first published, this book remains the best textbook in this exciting field. This 10th anniversary edition includes an introduction from the authors setting the work in context. Containing a wealth of figures and exercises, it is ideal for courses on the subject.


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