Broken symmetries in the entanglement of formation
- 21 May 2003
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 44 (6) , 2402-2415
- https://doi.org/10.1063/1.1570509
Abstract
We compare some recent computations of the entanglement of formation in quantum information theory and of the entropy of a subalgebra in quantum ergodic theory. Both notions require optimization over decompositions of quantum states. We show that both functionals are strongly related for some highly symmetric density matrices. We discuss the presence of broken symmetries in relation with the structure of the optimal decompositions.Comment: 21 pages, LateX, no figureKeywords
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