On the nonlinearity of quantum dynamical entropy
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5066287
Abstract: Linearity of a dynamical entropy means that the dynamical entropy of the n-fold composition of a dynamical map with itself is equal to n times the dynamical entropy of the map for every positive integer… read more here.
Keywords: dynamical entropy; quantum dynamical; nonlinearity quantum; entropy ... See more keywords
Quantum Dynamical Entropy, Chaotic Unitaries and Complex Hadamard Matrices
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2017.2751507
Abstract: We introduce two information-theoretical invariants for the projective unitary group acting on a finite-dimensional complex Hilbert space: PVM- and POVM-dynamical (quantum) entropies, which are analogues of the classical Kolmogorov-Sinai entropy rate. They quantify the maximal… read more here.
Keywords: entropy; dynamical entropy; chaotic unitaries; complex hadamard ... See more keywords