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Title: Maximal rank of extremal marginal tracial states

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3481567· OSTI ID:21476480
 [1]
  1. Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553 (Japan)

States on the coupled quantum system M{sub n}(C) x M{sub n}(C) whose restrictions to each subsystem are the normalized traces are called marginal tracial states. We investigate extremal marginal tracial states and compute their maximal rank. Diagonal marginal tracial states are also considered.

OSTI ID:
21476480
Journal Information:
Journal of Mathematical Physics, Vol. 51, Issue 9; Other Information: DOI: 10.1063/1.3481567; (c) 2010 American Institute of Physics; ISSN 0022-2488
Country of Publication:
United States
Language:
English