TY - JOUR
ID - 733
TI - The witness set of coexistence of quantum effects and its preservers
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - He, K.
AU - Sun, F. G.
AU - Hou, J.
AU - Yuan, Q.
AD - College of Mathematics, Institute of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi,
030024, P.R. China.
Y1 - 2015
PY - 2015
VL - 41
IS - Issue 7 (Special Issue)
SP - 195
EP - 204
KW - Positive operator matrices
KW - Coexistence
KW - Hilbert space effect algebras
KW - Isomorphisms
DO -
N2 - One of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. In this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. We also devote to characterizing bijective morphisms on quantum effects leaving the witness set invariant. Furthermore, applying linear maps preserving commutativity, which are characterized by Choi, Jafarian and Radjavi [Linear maps preserving commutativity, Linear Algebra Appl. 87 (1987), 227--241.], we classify multiplicative general morphisms leaving the witness set invariant on finite dimensional Hilbert space effect algebras.
UR - http://bims.iranjournals.ir/article_733.html
L1 - http://bims.iranjournals.ir/article_733_11e420ffa346edde192a2c50f80bc9b4.pdf
ER -