The book aims to survey recent developments in quantum algebras and related topics. Quantum groups were introduced by Drinfeld and Jimbo in 1985 in their work on Yang Baxter equations. The subject from the very beginning has been an interesting one for both mathematics and theoretical physics. For example, Yangian is a special example of quantum group, corresponding to rational solution of Yang Baxter equation. Viewed as a generalization of the symmetric group, Yangians also have close connections to algebraic combinatorics. This is the proceeding for the International Workshop on Quantized Algebra and Physics. The workshop aims to gather experts and young investigators from China and abroad to discuss research problems in integrable systems, conformal field theory, string theory, Lie theory, quantum groups including Yangians and their representations.

In the conventional combination of logic circuits, energy loss is an important consideration. Research on reversible logic circuits are of interest to power minimization having applications in low power CMOS design, DNA computing, bioinformatics, nanotechnology, information security and so on. In this book, a novel reversible quantum full adder, reversible BCD adder, subtraction and quantum No-Wait-Carry adder and a novel reversible quantum array multiplier is introduced. At the same time, the model of this array multiplier based on CMOS technology and pass-transistor is also discussed. Reversible arithmetic logic unit and a novel 1-bit reversible comparator and another novel 4-bit reversible comparator are described as well. Finally, this book devotes itself to the theory and simulation of QCA, introduces a study of quantum states in semi-classical simulation and the genetic simulated annealing simulation method based on the polarized rule.