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
Entanglement properties of multipartite informationally complete quantum measurements
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aac973
Abstract: We analyze tight informationally complete measurements for arbitrarily large multipartite systems and study their configurations of entanglement. We demonstrate that tight measurements cannot be exclusively composed neither of fully separable nor maximally entangled states. We… read more here.
Keywords: informationally complete; tight measurements; multipartite informationally; properties multipartite ... See more keywords
Lüders channels and the existence of symmetric-informationally-complete measurements
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DOI: 10.1103/physreva.100.062327
Abstract: The Luders rule provides a way to define a quantum channel given a quantum measurement. Using this construction, we establish an if-and-only-if condition for the existence of a $d$-dimensional Symmetric Informationally Complete quantum measurement (a… read more here.
Keywords: channels existence; existence symmetric; symmetric informationally; complete measurements ... See more keywords
The Poincaré Half-Plane for Informationally-Complete POVMs
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DOI: 10.3390/e20010016
Abstract: It has been shown in previous papers that classes of (minimal asymmetric) informationally-complete positive operator valued measures (IC-POVMs) in dimension d can be built using the multiparticle Pauli group acting on appropriate fiducial states. The… read more here.
Keywords: half plane; povms; informationally complete; poincar ... See more keywords
Experimental randomness certification with a symmetric informationally complete positive operator-valued measurement
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DOI: 10.3788/col202018.102701
Abstract: Nonlocal correlations observed from entangled quantum particles imply the existence of intrinsic randomness. Normally, locally projective measurements performed on a two-qubit entangled state can only certify one-bit randomness at most, while non-projective measurement can certify… read more here.
Keywords: informationally complete; randomness; certification symmetric; symmetric informationally ... See more keywords