Lectures On Quantum Computation Quantum Error Correcting Codes And Information Theory

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Lectures on Quantum Computation, Quantum Error Correcting Codes and Information Theory

Author : K. R. Parthasarathy
Publisher : Narosa Publishing House
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Lectures on Quantum Computation, Quantum Error Correcting Codes and Information Theory by : K. R. Parthasarathy

Download or read book Lectures on Quantum Computation, Quantum Error Correcting Codes and Information Theory written by K. R. Parthasarathy and published by Narosa Publishing House. This book was released on 2006 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on a course of about twenty lectures on quantum computation, quantum error correcting codes and information theory. The topics include a comparative description of the basic features of classical probability theory on finite sample spaces and quantum probability theory on finite dimensional complex Hilbert spaces, quantum gates and cicuits, simple examples of circuits arising from quantum teleportation, communication through EPR pairs and arithmetical computations on a quantum computer, more sophisticated examples of such circuits in the context of Fourier transform and phase estimation, a detailed account of the order finding algorithm as well as the celebrated Shor's algorithm for factorising a positive integer into its prime factors. There is a leisurely discussion of quantum error correcting codes with the Knill-Laflamme criterion for error correction and a number of examples of such codes whose construction is based on the Weyl commutation relations for finite abelian groups. The reader may find here a brief introduction to the basic ideas of classical information theory as developed by Shannon,properties of von Neumann's quantum entropy and relative entropy as well as a proof of Schumacher's noiseless quantum coding theorem. The Holevo bound for transmission of classical information through encoding by quantum states followed by measurements is derived. The only background assumed of the reader is linear algebra on finite dimensional complex vector spaces and elementary classical probability theory on finite sample spaces.These notes are aimed at mathematicians and computer scientists who are curious to know the mystery behind a quantum computer and the possibility of communicating information using the principles of elementary quantum theory.

Quantum Error Correction and Fault Tolerant Quantum Computing

Author : Frank Gaitan
Publisher : CRC Press
ISBN 13 : 1420006681
Total Pages : 312 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Quantum Error Correction and Fault Tolerant Quantum Computing by : Frank Gaitan

Download or read book Quantum Error Correction and Fault Tolerant Quantum Computing written by Frank Gaitan and published by CRC Press. This book was released on 2018-10-03 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, scalable quantum computer. Over a decade has passed since this monumental accomplishment yet no book-length pedagogical presentation of this important theory exists. Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. It provides in-depth coverage on the most important class of codes discovered to date—quantum stabilizer codes. It brings together the central themes of quantum error correction and fault-tolerant procedures to prove the accuracy threshold theorem for a particular noise error model. The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code. Packed with over 40 real-world problems, 35 field exercises, and 17 worked-out examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible.

Quantum Error Correction

Author : Daniel A. Lidar
Publisher : Cambridge University Press
ISBN 13 : 0521897874
Total Pages : 689 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Quantum Error Correction by : Daniel A. Lidar

Download or read book Quantum Error Correction written by Daniel A. Lidar and published by Cambridge University Press. This book was released on 2013-09-12 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on methods for quantum error correction, this book is invaluable for graduate students and experts in quantum information science.

The Complexity of Noise

Author : Amit Hagar
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1608454894
Total Pages : 71 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis The Complexity of Noise by : Amit Hagar

Download or read book The Complexity of Noise written by Amit Hagar and published by Morgan & Claypool Publishers. This book was released on 2010 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computers are hypothetical quantum information processing (QIP) devices that allow one to store, manipulate, and extract information while harnessing quantum physics to solve various computational problems and do so putatively more efficiently than any known classical counterpart (5). Physical objects as they are, QIP devices are subject to the laws of physics. No doubt, the application of these laws is error-free, but noise - be it external influences or hardware imprecisions - can sometimes cause a mismatch between what the QIP device is supposed to do and what it actually does. In recent years the elimination of noise that result from external disturbances or from imperfect gates has become the "holy grail" within the quantum computing community, and a worldwide quest for a large scale, fault-tolerant, and computationally superior QIP device is currently taking place. Whether such machines are possible is an exciting open question, yet the debate on their feasibility has been so far rather ideological in character (45) (66)(110) (162). Remarkably, philosophers of science have been mostly silent about it: common wisdom has it that philosophy should not intervene in what appears to be (and is also presented as) an engineering problem, and besides, the mathematics employed in the theory of fault-tolerant quantum error correction (FTQEC henceforth) is rather daunting. It turns out, however, that behind this technical veil the central issues at the heart of the debate are worthy of philosophical analysis and, moreover, bear strong similarities to the conceptual problems that have been saturating a field quite familiar to philosophers, namely the foundations of statistical mechanics (SM henceforth). Reconstructing the debate on FTQEC with statistical mechanical analogies, this book aims to introduce it to readership outside the quantum computing community, and to take preliminary steps towards making it less ideological and mor

Lecture Notes for Physics 229:Quantum Information and Computation

Author : John Preskill
Publisher :
ISBN 13 : 9781506189918
Total Pages : 322 pages
Book Rating : 4.1/5 (899 download)

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Book Synopsis Lecture Notes for Physics 229:Quantum Information and Computation by : John Preskill

Download or read book Lecture Notes for Physics 229:Quantum Information and Computation written by John Preskill and published by . This book was released on 2015-01-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture Notes for Physics 229:Quantum Information and ComputationBy John Preskill

A Course in Algebraic Error-Correcting Codes

Author : Simeon Ball
Publisher : Springer Nature
ISBN 13 : 3030411532
Total Pages : 185 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Course in Algebraic Error-Correcting Codes by : Simeon Ball

Download or read book A Course in Algebraic Error-Correcting Codes written by Simeon Ball and published by Springer Nature. This book was released on 2020-05-08 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.

Quantum Information Processing and Quantum Error Correction

Author : Ivan Djordjevic
Publisher : Academic Press
ISBN 13 : 0123854911
Total Pages : 597 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Quantum Information Processing and Quantum Error Correction by : Ivan Djordjevic

Download or read book Quantum Information Processing and Quantum Error Correction written by Ivan Djordjevic and published by Academic Press. This book was released on 2012-04-16 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Information Processing and Quantum Error Correction is a self-contained, tutorial-based introduction to quantum information, quantum computation, and quantum error-correction. Assuming no knowledge of quantum mechanics and written at an intuitive level suitable for the engineer, the book gives all the essential principles needed to design and implement quantum electronic and photonic circuits. Numerous examples from a wide area of application are given to show how the principles can be implemented in practice. This book is ideal for the electronics, photonics and computer engineer who requires an easy- to-understand foundation on the principles of quantum information processing and quantum error correction, together with insight into how to develop quantum electronic and photonic circuits. Readers of this book will be ready for further study in this area, and will be prepared to perform independent research. The reader completed the book will be able design the information processing circuits, stabilizer codes, Calderbank-Shor-Steane (CSS) codes, subsystem codes, topological codes and entanglement-assisted quantum error correction codes; and propose corresponding physical implementation. The reader completed the book will be proficient in quantum fault-tolerant design as well. Unique Features Unique in covering both quantum information processing and quantum error correction - everything in one book that an engineer needs to understand and implement quantum-level circuits. Gives an intuitive understanding by not assuming knowledge of quantum mechanics, thereby avoiding heavy mathematics. In-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits. Provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication. Dr. Djordjevic is an Assistant Professor in the Department of Electrical and Computer Engineering of College of Engineering, University of Arizona, with a joint appointment in the College of Optical Sciences. Prior to this appointment in August 2006, he was with University of Arizona, Tucson, USA (as a Research Assistant Professor); University of the West of England, Bristol, UK; University of Bristol, Bristol, UK; Tyco Telecommunications, Eatontown, USA; and National Technical University of Athens, Athens, Greece. His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. He presently directs the Optical Communications Systems Laboratory (OCSL) within the ECE Department at the University of Arizona. Provides everything an engineer needs in one tutorial-based introduction to understand and implement quantum-level circuits Avoids the heavy use of mathematics by not assuming the previous knowledge of quantum mechanics Provides in-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits

Quantum Information Theory

Author : Mark Wilde
Publisher : Cambridge University Press
ISBN 13 : 1107034256
Total Pages : 673 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantum Information Theory by : Mark Wilde

Download or read book Quantum Information Theory written by Mark Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Quantum Computing Since Democritus

Author : Scott Aaronson
Publisher : Cambridge University Press
ISBN 13 : 0521199565
Total Pages : 403 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Quantum Computing Since Democritus by : Scott Aaronson

Download or read book Quantum Computing Since Democritus written by Scott Aaronson and published by Cambridge University Press. This book was released on 2013-03-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.

Quantum Information and Quantum Computing

Author : Mikio Nakahara
Publisher : World Scientific
ISBN 13 : 9814425222
Total Pages : 194 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Information and Quantum Computing by : Mikio Nakahara

Download or read book Quantum Information and Quantum Computing written by Mikio Nakahara and published by World Scientific. This book was released on 2013 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This is a collection of the research outcomes by the members engaged in the project. To make the presentation self-contained, it starts with an overview by Mikio Nakahara, which serves as a concise introduction to quantum information and quantum computing. Subsequent contributions include subjects from physics, chemistry, mathematics, and information science, reflecting upon the wide variety of scientists working under this project. These contributions introduce NMR quantum computing and related techniques, number theory and coding theory, quantum error correction, photosynthesis, non-classical correlations and entanglement, neutral atom quantum computer, among others. Each of the contributions will serve as a short introduction to these cutting edge research fields.

Lectures on Quantum Information

Author : Dagmar Bruss
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on Quantum Information by : Dagmar Bruss

Download or read book Lectures on Quantum Information written by Dagmar Bruss and published by Wiley-VCH. This book was released on 2007 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Information Processing is a young and rapidly growing field of research at the intersection of physics, mathematics, and computer science. Its ultimate goal is to harness quantum physics to conceive -- and ultimately build -- "quantum" computers that would dramatically overtake the capabilities of today's "classical" computers. One example of the power of a quantum computer is its ability to efficiently find the prime factors of a larger integer, thus shaking the supposedly secure foundations of standard encryption schemes. This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. With its series of exercises, this is ideal reading for students and lecturers in physics and informatics, as well as experimental and theoretical physicists, and physicists in industry. Dagmar Bruß graduated at RWTH University Aachen, Germany, and received her PhD in theoretical particle physics from the University of Heidelberg in 1994. As a research fellow at the University of Oxford she started to work in quantum information theory. Another fellowship at ISI Torino, Italy, followed. While being a research assistant at the University of Hannover she completed her habilitation. Since 2004 Professor Bruß has been holding a chair at the Institute of Theoretical Physics at the Heinrich-Heine-University Düsseldorf, Germany. Gerd Leuchs studied physics and mathematics at the University of Cologne, Germany, and received his Ph.D. in 1978. After two research visits at the University of Colorado in Boulder, USA, he headed the German gravitational wave detection group from 1985 to 1989. He became technical director at Nanomach AG in Switzerland. Since 1994 Professor Leuchs has been holding the chair for optics at the Friedrich-Alexander-University of Erlangen-Nuremberg, Germany. His fields of research span the range from modern aspects of classical optics to quantum optics and quantum information. Since 2003 he has been Director of the Max Planck Research Group for Optics, Information and Photonics at Erlangen.

Quantum Error Correction and Fault Tolerant Quantum Computing - S

Author : Gaitan Frank Staff
Publisher :
ISBN 13 : 9781420073454
Total Pages : pages
Book Rating : 4.0/5 (734 download)

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Book Synopsis Quantum Error Correction and Fault Tolerant Quantum Computing - S by : Gaitan Frank Staff

Download or read book Quantum Error Correction and Fault Tolerant Quantum Computing - S written by Gaitan Frank Staff and published by . This book was released on 2007-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, scalable quantum computer. Over a decade has passed since this monumental accomplishment yet no book-length pedagogical presentation of this important theory exists. Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. It provides in-depth coverage on the most important class of codes discovered to date quantum stabilizer codes. It brings together the central themes of quantum error correction and fault-tolerant procedures to prove the accuracy threshold theorem for a particular noise error model. The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code. Packed with over 40 real-world problems, 35 field exercises, and 17 worked-out examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible.

Principles Of Quantum Computation And Information - Volume Ii: Basic Tools And Special Topics

Author : Giuliano Benenti
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365556
Total Pages : 445 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Principles Of Quantum Computation And Information - Volume Ii: Basic Tools And Special Topics by : Giuliano Benenti

Download or read book Principles Of Quantum Computation And Information - Volume Ii: Basic Tools And Special Topics written by Giuliano Benenti and published by World Scientific Publishing Company. This book was released on 2007-03-21 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computation and information is a new, rapidly developing interdisciplinary field. Its fundamental concepts and central results may not be easily understood without facing numerous technical details.Building on the basic concepts introduced in Vol I, this second volume deals with various important aspects, both theoretical and experimental, of quantum computation and information in depth. The areas include quantum data compression, accessible information, entanglement concentration, limits to quantum computation due to decoherence, quantum error-correction, and the first experimental implementations of quantum information protocols. This volume also includes a selection of special topics: chaos and quantum to classical transition, quantum trajectories, quantum computation and quantum chaos, and the Zeno effect.

Lectures on Quantum Computing, Thermodynamics and Statistical Physics

Author : Mikio Nakahara
Publisher : World Scientific
ISBN 13 : 9814425192
Total Pages : 199 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Lectures on Quantum Computing, Thermodynamics and Statistical Physics by : Mikio Nakahara

Download or read book Lectures on Quantum Computing, Thermodynamics and Statistical Physics written by Mikio Nakahara and published by World Scientific. This book was released on 2013 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes from the Symposium on Quantum Computing, Thermodynamics, and Statistical Physics, held at Kinki University in March 2012. Quantum information theory has a deep connection with statistical physics and thermodynamics. This volume introduces some of the topics on interface among the mentioned fields. Subjects included in the lecture notes include quantum annealing method, nonequilibrium thermodynamics and spin glass theory, among others. These subjects were presented with much emphasis put in its relevance in quantum information theory. These lecture notes are prepared in a self-contained manner so that a reader with modest background may understand the subjects.

Quantum Information Processing, Quantum Computing, and Quantum Error Correction

Author : Ivan B. Djordjevic
Publisher : Academic Press
ISBN 13 : 0128219874
Total Pages : 840 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Quantum Information Processing, Quantum Computing, and Quantum Error Correction by : Ivan B. Djordjevic

Download or read book Quantum Information Processing, Quantum Computing, and Quantum Error Correction written by Ivan B. Djordjevic and published by Academic Press. This book was released on 2021-02-20 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edition of Quantum Information Processing, Quantum Computing, and Quantum Error Correction: An Engineering Approach presents a self-contained introduction to all aspects of the area, teaching the essentials such as state vectors, operators, density operators, measurements, and dynamics of a quantum system. In additional to the fundamental principles of quantum computation, basic quantum gates, basic quantum algorithms, and quantum information processing, this edition has been brought fully up to date, outlining the latest research trends. These include: Key topics include: - Quantum error correction codes (QECCs), including stabilizer codes, Calderbank-Shor-Steane (CSS) codes, quantum low-density parity-check (LDPC) codes, entanglement-assisted QECCs, topological codes, and surface codes - Quantum information theory, and quantum key distribution (QKD) - Fault-tolerant information processing and fault-tolerant quantum error correction, together with a chapter on quantum machine learning. Both quantum circuits- and measurement-based quantum computational models are described - The next part of the book is spent investigating physical realizations of quantum computers, encoders and decoders; including photonic quantum realization, cavity quantum electrodynamics, and ion traps - In-depth analysis of the design and realization of a quantum information processing and quantum error correction circuits This fully up-to-date new edition will be of use to engineers, computer scientists, optical engineers, physicists and mathematicians. - A self-contained introduction to quantum information processing, and quantum error correction - Integrates quantum information processing, quantum computing, and quantum error correction - Describes the latest trends in the quantum information processing, quantum error correction and quantum computing - Presents the basic concepts of quantum mechanics - In-depth presentation of the design and realization of a quantum information processing and quantum error correction circuit

An Introduction to Quantum Computing

Author : Phillip Kaye
Publisher : Oxford University Press
ISBN 13 : 0198570007
Total Pages : 287 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis An Introduction to Quantum Computing by : Phillip Kaye

Download or read book An Introduction to Quantum Computing written by Phillip Kaye and published by Oxford University Press. This book was released on 2007 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.

Quantum Computation

Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
ISBN 13 : 0821820842
Total Pages : 377 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Computation by : American Mathematical Society. Short Course

Download or read book Quantum Computation written by American Mathematical Society. Short Course and published by American Mathematical Soc.. This book was released on 2002 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents written versions of the eight lectures given during the AMS Short Course held at the Joint Mathematics Meetings in Washington, D.C. The objective of this course was to share with the scientific community the many exciting mathematical challenges arising from the new field of quantum computation and quantum information science. The course was geared toward demonstrating the great breadth and depth of this mathematically rich research field. Interrelationships withexisting mathematical research areas were emphasized as much as possible. Moreover, the course was designed so that participants with little background in quantum mechanics would, upon completion, be prepared to begin reading the research literature on quantum computation and quantum informationscience. Based on audience feedback and questions, the written versions of the lectures have been greatly expanded, and supplementary material has been added. The book features an overview of relevant parts of quantum mechanics with an introduction to quantum computation, including many potential quantum mechanical computing devices; introduction to quantum algorithms and quantum complexity theory; in-depth discussion on quantum error correcting codes and quantum cryptography; and finally,exploration into diverse connections between quantum computation and various areas of mathematics and physics.