$$C^*$$-Extreme Points of Positive Operator Valued Measures and Unital Completely Positive Maps
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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
Quantum Structures Without Group-Valued Measures
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DOI: 10.1007/s10773-019-04058-y
Abstract: Quantum structures with small dimensions of state spaces are not only mathematical curiosities. They enriched the mathematical theory by new tools. We have significantly optimized some of these constructions. Related questions have been studied also… read more here.
Keywords: structures without; without group; valued measures; quantum structures ... See more keywords
Two constructions of approximately symmetric informationally complete positive operator-valued measures
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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
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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