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Quantum computation : a grand mathematical challenge for the twenty-first century and the millennium : American Mathematical Society, Short Course, January 17-18, 2000, Washington, DC / Samuel J. Lomonaco, Jr., editor.
- Format:
- Book
- Author/Creator:
- American Mathematical Society Short Course, Corporate Author.
- Series:
- Proceedings of symposia in applied mathematics. AMS short course lecture notes ; Volume 58.
- Proceedings of Symposia in Applied Mathematics : AMS Short Course Lecture Notes, 0160-7634 ; Volume 58
- Language:
- English
- Subjects (All):
- Quantum computers--Congresses.
- Quantum computers.
- Physical Description:
- 1 online resource (377 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2002.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Acknowledgements""; ""Original AMS Short Course Announcement""; ""Chapter I. An Invitation to Quantum Computation""; ""A Rosetta stone for quantum mechanics with an introduction to quantum computation""; ""Qubit devices""; ""Chapter II. Quantum Algorithms and Quantum Complexity Theory""; ""Introduction to quantum algorithms""; ""Shor's quantum factoring algorithm""; ""Grover's quantum search algorithm""; ""A survey of quantum complexity theory""; ""Chapter III. Quantum Error Correcting Codes and Quantum Cryptography""
- ""An introduction to quantum error correction""""A talk on quantum cryptography: Or how Alice outwits Eve""; ""Chapter IV. More Mathematical Connections""; ""Topological quantum codes and anyons""; ""Quantum topology and quantum computing""; ""An entangled tale of quantum entanglement""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Y""; ""Z""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters and index.
- Description based on print version record.
- ISBN:
- 0-8218-9273-8
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