Classifies Markovian rebit CPTP channels via the GKSL equation and applies them to simulate illuminant-induced chromatic distortion in a Lüders-measurement model of color perception.
Derivations on semi-simple Jordan algebras and its applications
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abstract
In this paper, we mainly study the derivation algebras of semi-simple Jordan algebras over a field of characteristic $0$ and give sufficient and necessary conditions that the derivation algebras of them are simple. As an application, we prove that for a semi-simple Jordan algebra $J$, $TDer(Der(J)) = Der(Der(J)) = ad(Der(J))$ under some assumptions. Moreover, we also show that for a semi-simple Jordan algebra $J$ which has a finite basis over a field of characteristic $0$, $TDer(J) = Der(J) = Inn(J)$. This is a corollary about our theorem which concerns Jordan algebras with unit.
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Markovian dynamics of single-rebit open quantum systems with applications to colour perception
Classifies Markovian rebit CPTP channels via the GKSL equation and applies them to simulate illuminant-induced chromatic distortion in a Lüders-measurement model of color perception.