Abstract
We investigate the optimal convex approximation of the quantum state with respect to a set of available states. By isometric transformation, we have presented the general mathematical model and its solutions together with a triple uncertainty equality relation. Meanwhile, we show a concise inequality criterion for decomposing qubit mixed states. The new results include previous ones as special cases. Our model and method may be applied to solve similar problems in high-dimensional and multipartite scenarios.
- Received 22 December 2019
- Accepted 22 May 2020
DOI:https://doi.org/10.1103/PhysRevA.101.062106
©2020 American Physical Society
Physics Subject Headings (PhySH)
Quantum Information, Science & TechnologyAtomic, Molecular & OpticalGeneral Physics