Applications of Wigner’s theorem to positive maps preserving norm of operator products
✍ Scribed by Jinxiu Li
- Book ID
- 107375995
- Publisher
- Higher Education Press and Springer
- Year
- 2006
- Tongue
- English
- Weight
- 137 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1673-3452
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on
A direct proof of Wignefs theorem on transition probability preserving maps between pure states of a quantum system and a more precise statement of the theorem are provided. The mathematical proof presented here shows that the result should be as obvious to every one as it has been to Wigner.