Analysis and Review of Mathematical Concepts in Quantum Computation

Abstract

The basic principle behind quantum computation is that quantum properties can be used to represent data and perform operations on these data. Mathematics lies at the heart of quantum computation and it is needed in every aspect of the research and development of quantum computation. In this paper we have presented mathematical concepts that are closely related to quantum computation and their relation to quantum mechanics in a way which is innovative and very easy to comprehend. Most of the mathematical concepts presented in this paper are deduced from the postulates of quantum mechanics and linear algebra.

Keywords: Quantum computation, quantum mathematics, quantum gate, quantum operator, reversible computing, parallel computing.