$$C^*$$-Extreme Points of Positive Operator Valued Measures and Unital Completely Positive Maps
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04245-1
Abstract: We study the quantum ($C^*$) convexity structure of normalized positive operator valued measures (POVMs) on measurable spaces. In particular, it is seen that unlike extreme points under classical convexity, $C^*$-extreme points of normalized POVMs on… read more here.
Keywords: unital completely; valued measures; operator valued; extreme points ... See more keywords
Two constructions of approximately symmetric informationally complete positive operator-valued measures
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4985153
Abstract: Symmetric informationally complete positive operator-valued measures (SIC-POVMs) have many applications in quantum information. However, it is not easy to construct SIC-POVMs and there are only a few known classes of them, and we do not… read more here.
Keywords: informationally complete; complete positive; valued measures; positive operator ... See more keywords
Quantum steering with positive operator valued measures
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aad115
Abstract: We address the problem of quantum nonlocality with positive operator valued measures (POVM) in the context of Einstein-Podolsky-Rosen quantum steering. We show that, given a candidate for local hidden state (LHS) ensemble, the problem of… read more here.
Keywords: valued measures; operator valued; quantum steering; positive operator ... See more keywords
Convergence of positive operator semigroups
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7836
Abstract: We present new conditions for semigroups of positive operators to converge strongly as time tends to infinity. Our proofs are based on a novel approach combining the well-known splitting theorem by Jacobs, de Leeuw and… read more here.
Keywords: convergence positive; convergence; operator; operator semigroups ... See more keywords