Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits PDF Download
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Author: Alexis De Vos
Publisher: Morgan & Claypool Publishers
ISBN: 1681733803
Category : Technology & Engineering
Languages : en
Pages : 127
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Book Description
At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.
Author: Alexis De Vos
Publisher: Morgan & Claypool Publishers
ISBN: 1681733803
Category : Technology & Engineering
Languages : en
Pages : 127
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Book Description
At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.
Author: Alexis De Vos
Publisher: Springer Nature
ISBN: 3031798953
Category : Technology & Engineering
Languages : en
Pages : 109
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Book Description
At first sight, quantum computing is completely different from classical computing. Nevertheless, a link is provided by reversible computation. Whereas an arbitrary quantum circuit, acting on ?? qubits, is described by an ?? × ?? unitary matrix with ??=2??, a reversible classical circuit, acting on ?? bits, is described by a 2?? × 2?? permutation matrix. The permutation matrices are studied in group theory of finite groups (in particular the symmetric group ????); the unitary matrices are discussed in group theory of continuous groups (a.k.a. Lie groups, in particular the unitary group U(??)). Both the synthesis of a reversible logic circuit and the synthesis of a quantum logic circuit take advantage of the decomposition of a matrix: the former of a permutation matrix, the latter of a unitary matrix. In both cases the decomposition is into three matrices. In both cases the decomposition is not unique.
Author: Jarkko Kari
Publisher: Springer
ISBN: 3319994980
Category : Computers
Languages : en
Pages : 359
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Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Reversible Computation, RC 2018, held in Leicester, UK, in September 2018. The 13 full, 7 short, and one tutorial papers included in this volume together with four invited talks were carefully reviewed and selected from 28 submissions. The papers are organized in the following topical sections: reversible concurrent computation; quantum circuits; reversible programming languages; and applications.
Author: Claudio Antares Mezzina
Publisher: Springer Nature
ISBN: 3031090055
Category : Computers
Languages : en
Pages : 245
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Book Description
This book constitutes the refereed proceedings of the 14th International Conference on Reversible Computation, RC 2022, which was held in Urbino, Italy, during July 5-6, 2021. The 10 full papers and 6 short papers included in this book were carefully reviewed and selected from 20 submissions. They were organized in topical sections named: Reversible and Quantum Circuits; Applications of quantum Computing; Foundations and Applications.
Author: Michael Kirkedal Thomsen
Publisher: Springer
ISBN: 3030215008
Category : Computers
Languages : en
Pages : 246
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Book Description
This book constitutes the refereed proceedings of the 11th International Conference on Reversible Computation, RC 2019, held in Lausanne, Switzerland, in June 2019. The 12 full papers and two short papers included in this volume were carefully reviewed and selected from 22 submissions. One invited talk is also included. The papers are organized in the following topical sections: theory and foundation; programming languages; circuit synthesis; evaluation of circuit synthesis; and applications and implementations.
Author: Martin Kutrib
Publisher: Springer Nature
ISBN: 3031381009
Category : Computers
Languages : en
Pages : 250
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Book Description
This book constitutes the refereed proceedings of the 15th International Conference on Reversible Computation, RC 2023, held in Giessen, Germany, during July 18–19, 2023. The 11 full papers and 3 short papers included in this book were carefully reviewed and selected from 19 submissions. They were organized in topical sections as follows: Foundations; Reversible Programming; Quantum Computing; and Quantum Circuits.
Author: Tsutomu Sasao
Publisher: Springer Nature
ISBN: 3031799119
Category : Technology & Engineering
Languages : en
Pages : 165
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Book Description
Index generation functions are binary-input integer valued functions. They represent functions of content addressable memories (CAMs). Applications include: IP address tables; terminal controllers; URL lists; computer virus scanning circuits; memory patch circuits; list of English words; code converters; and pattern matching circuits. This book shows memory-based realization of index generation functions. It shows: 1. methods to implement index generation functions by look-up table (LUT) cascades and index generation units (IGU), 2. methods to reduce the number of variables using linear transformations, and 3. methods to estimate the sizes of memories, with many illustrations, tables, examples, exercises, and their solutions.
Author: Nabila Abdessaied
Publisher: Springer
ISBN: 331931937X
Category : Technology & Engineering
Languages : en
Pages : 206
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Book Description
This book presents a new optimization flow for quantum circuits realization. At the reversible level, optimization algorithms are presented to reduce the quantum cost. Then, new mapping approaches to decompose reversible circuits to quantum circuits using different quantum libraries are described. Finally, optimization techniques to reduce the quantum cost or the delay are applied to the resulting quantum circuits. Furthermore, this book studies the complexity of reversible circuits and quantum circuits from a theoretical perspective.
Author: Robert Glück
Publisher: Springer
ISBN: 3642363156
Category : Computers
Languages : en
Pages : 251
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Book Description
This book constitutes the refereed proceedings of the 4th International Workshop on Reversible Computation, RC 2012, held in Copenhagen, Denmark, in July 2012. The 19 contributions presented in this volume were carefully reviewed and selected from 46 submissions. The papers cover theoretical considerations, reversible software and reversible hardware, and physical realizations and applications in quantum computing.
Author: Ashutosh Kumar Singh
Publisher: Springer
ISBN: 9811388210
Category : Technology & Engineering
Languages : en
Pages : 268
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Book Description
The book compiles efficient design and test methodologies for the implementation of reversible logic circuits. The methodologies covered in the book are design approaches, test approaches, fault tolerance in reversible circuits and physical implementation techniques. The book also covers the challenges and the reversible logic circuits to meet these challenges stimulated during each stage of work cycle. The novel computing paradigms are being explored to serve as a basis for fast and low power computation.
