Year: 2002
Type: article
Abstract: In quantum operations, probabilities characterize both the degree of the success of a state transformation and, as density operator eigenvalues, the degree of mixedness of the final state. We give a unified treatment of $\mathrm{pure}\ensuremath{\rightarrow}\mathrm{pure}$ state transformations, covering both probabilistic and deterministic cases. We then discuss the role of majorization in describing the dynamics of mixing in quantum operations. The conditions for mixing enhancement for all initial states are derived. We show that mixing is monotonically decreasing for deterministic $\mathrm{pure}\ensuremath{\rightarrow}\mathrm{pure}$ transformations, and discuss the relationship between these transformations and deterministic local operations with classical communication entanglement transformations.
Source: Physical Review A
Author: Anthony Chefles
Institution: University of Hertfordshire
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1975881589