A von Neumann algebra approach to quantum metrics
Abstract
We propose a new definition of quantum metric spaces, or W*metric spaces, in the setting of von Neumann algebras. Our definition effectively reduces to the classical notion in the atomic abelian case, has both concrete and intrinsic characterizations, and admits a wide variety of tractable examples. A natural application and motivation of our theory is a mutual generalization of the standard models of classical and quantum error correction.
 Publication:

arXiv eprints
 Pub Date:
 May 2010
 arXiv:
 arXiv:1005.0353
 Bibcode:
 2010arXiv1005.0353K
 Keywords:

 Mathematics  Operator Algebras;
 Quantum Physics
 EPrint:
 68 pages