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Institute of Physics eBooks

Quantum logic

Hafiz Md. Hasan Babu

Published Jun 1, 2023• 0 citations
Publisher

Abstract

This part of the book starts with some background and preliminary studies on quantum logic and some characteristics, as well as the evolution of quantum computers, which are discussed in this chapter.
DOI
10.1088/978-0-7503-5683-1ch1

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For Students Prerequisites for understanding the content in this book are a solid background in probability theory and linear algebra. If you are new to information theory, then there is enough background in this book to get you up to speed (Chapters 2, 10, 12,and 13). Though, classics on information theory such as Cover and Thomas (1991) and MacKay (2003) could be helpful as a reference. If you are new to quantum mechanics, then there should be enough material in this book (Part II) to give you the background necessary for understanding quantum Shannon theory. The book of Nielsen and Chuang (sometimes known as “Mike and Ike”) has become the standard starting point for students in quantum information science and might be helpful as well (Nielsen & Chuang, 2000). Some of the content in that book is available in Nielsen's dissertation (Nielsen, 1998). If you are familiar with Shannon's information theory (at the level of Cover and Thomas (1991), for example), then this book should be a helpful entry point into the field of quantum Shannon theory. We build on intuition developed classically to help in establishing schemes for communication over quantum channels. If you are familiar with quantum mechanics, it might still be worthwhile to review Part II because some content there might not be part of a standard course on quantum mechanics.

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This part of the book describes some background and preliminary studies of quantum fault-tolerant circuits in this chapter. The approach for designing a fault tolerant quantum adder (full-adder) is given in this chapter. A design for a fault tolerant multiplier (signed multiplier) is also shown. Finally, the design procedure for a quantum fault-tolerant integer division circuit is introduced in this chapter. In this design a restoring division algorithm as well as quantum restoring integer division circuitry are introduced.
For Students Prerequisites for understanding the content in this book are a solid background in probability theory and linear algebra. If you are new to information theory, then there is enough background in this book to get you up to speed (Chapters 2, 10, 12,and 13). Though, classics on information theory such as Cover and Thomas (1991) and MacKay (2003) could be helpful as a reference. If you are new to quantum mechanics, then there should be enough material in this book (Part II) to give you the background necessary for understanding quantum Shannon theory. The book of Nielsen and Chuang (sometimes known as “Mike and Ike”) has become the standard starting point for students in quantum information science and might be helpful as well (Nielsen & Chuang, 2000). Some of the content in that book is available in Nielsen's dissertation (Nielsen, 1998). If you are familiar with Shannon's information theory (at the level of Cover and Thomas (1991), for example), then this book should be a helpful entry point into the field of quantum Shannon theory. We build on intuition developed classically to help in establishing schemes for communication over quantum channels. If you are familiar with quantum mechanics, it might still be worthwhile to review Part II because some content there might not be part of a standard course on quantum mechanics.