Vos, Alexis De. <br/><br/>
Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits  [electronic resource] / 
by Alexis De Vos, Stijn De Baerdemacker, Yvan Van Rentergem. 
 - 1st ed. 2018. 
 - XV, 109 p.  online resource. 
 - Synthesis Lectures on Digital Circuits & Systems,  1932-3174 .
 - Synthesis Lectures on Digital Circuits & Systems, .
<br/><br/>Acknowledgments -- Introduction -- Bottom -- Bottom-Up -- Top -- Top-Down -- Conclusion -- Bibliography -- Authors' Biographies -- Index. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783031798955 
<br/><br/><label>Standard No.: </label>10.1007/978-3-031-79895-5  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Engineering.<br/>Electronic circuits.<br/>Control engineering.<br/>Robotics.<br/>Automation.<br/>Computers.<br/>Technology and Engineering.<br/>Electronic Circuits and Systems.<br/>Control, Robotics, Automation.<br/>Computer Hardware.
<br/><br/><label>LC Class. No.: </label>T1-995 
<br/><br/><label>Dewey Class. No.: </label>620