http://popups.lib.uliege.be/1373-5411/index.php?id=520 We begin with a brief review of the basic notions of classical computability theory and the Turing machine. The concept of decidability and computability, as well as the Church-Turing thesis are also introduced. The recently formalized foundations of quantum computability theory are surveyed next. Included are such topics as the universal quantum computer; the use of quantum parallelism in computation; and the Church-Turing principle. We highlight some avenues of research for new computational paradigms and suggest that underlying the new advances in both the theory and practical aspects (actual devices), is a new conceptual basis for interpreting the interactions that produce complex and partially understood processe. Full text issues Volume 2 Symposium ECHO II fr Thu, 27 Jun 2024 13:45:14 +0200 Fri, 28 Jun 2024 17:09:33 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=520 0