A simplified and unified generalization of some majorization results
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.065
Abstract: We consider positive, integral-preserving linear operators acting on $L^1$ space, known as stochastic operators or Markov operators. We show that, on finite-dimensional spaces, any stochastic operator can be approximated by a sequence of stochastic integral… read more here.
Keywords: majorization results; unified generalization; generalization majorization; simplified unified ... See more keywords
Log-majorization related to Rényi divergences
Sign Up to like & getrecommendations! Published in 2019 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.11.004
Abstract: Abstract For α , z > 0 with α ≠ 1 , motivated by comparison between different kinds of Renyi divergences in quantum information, we consider log-majorization between the matrix functions P α ( A… read more here.
Keywords: majorization related; related nyi; majorization; log majorization ... See more keywords
Principle of majorization: Application to random quantum circuits
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DOI: 10.1103/physreva.104.012602
Abstract: We test the principle of majorization [J. I. Latorre and M. A. Martín-Delgado, Phys. Rev. A 66, 022305 (2002)] in random circuits. Three classes of circuits were considered: (i) universal, (ii) classically simulatable, and (iii)… read more here.
Keywords: quantum circuits; random quantum; majorization; random ... See more keywords