Eltschka, Christopher and Siewert, Jens (2020) Joint Schmidt-type decomposition for two bipartite pure quantum states. PHYSICAL REVIEW A, 101 (2): 022302. ISSN 2469-9926, 2469-9934
Full text not available from this repository.Abstract
It is well known that the Schmidt decomposition exists for all pure states of a two-party quantum system. We demonstrate that there are two ways to obtain an analogous decomposition for arbitrary rank-1 operators acting on states of a bipartite finite-dimensional Hilbert space. These methods amount to joint Schmidt-type decompositions of two pure states where the two sets of coefficients and local bases depend on the properties of either state, however, at the expense of the local bases not all being orthonormal and in one case the complex-valuedness of the coefficients. With these results we derive several generally valid purity-type formulas for one-party reductions of rank-1 operators, and we point out relevant relations between the Schmidt decomposition and the Bloch representation of bipartite pure states.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Mar 2021 10:12 |
| Last Modified: | 30 Mar 2021 10:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45154 |
Actions (login required)
 |
View Item |
