Conditions for a quantum channel (noncommutative Markov operator) to be reversible with respect to complete families of quantum states with bounded rank are obtained. A description of all quantum channels reversible with respect to a given (orthogonal or nonorthogonal) complete family of pure states is given. Some applications in quantum information theory are considered.Bibliography: 20 titles.
- Pub Date:
- August 2013
- Quantum Physics;
- Mathematical Physics;
- Mathematics - Operator Algebras
- 28 pages, this version contains strengthened results of the previous one and of arXiv:1106.3297