Environment and classical channels in categorical quantum mechanics
Abstract
We present a both simple and comprehensive graphical calculus for quantum computing. In particular, we axiomatize the notion of an environment, which together with the earlier introduced axiomatic notion of classical structure enables us to define classical channels, quantum measurements and classical control. If we moreover adjoin the earlier introduced axiomatic notion of complementarity, we obtain sufficient structural power for constructive representation and correctness derivation of typical quantum informatic protocols.
 Publication:

arXiv eprints
 Pub Date:
 April 2010
 arXiv:
 arXiv:1004.1598
 Bibcode:
 2010arXiv1004.1598C
 Keywords:

 Quantum Physics;
 Computer Science  Logic in Computer Science;
 Mathematical Physics;
 Mathematics  Category Theory;
 F.1.1;
 F.3.2
 EPrint:
 26 pages, many pics