151 citations · 400 across the 28 of their papers we have counts for
8 papers · 1 filter
Bipartite entanglement, spherical actions and geometry of local unitary orbits
Alan Huckleberry, Marek Kuś, Adam Sawicki
We use the geometry of the moment map to investigate properties of pure entangled states of composite quantum systems. The orbits of equally entangled states are mapped by the mome…
Selected results on Lie supergroups and their radial operators
Alan Huckleberry, Matthias Kalus
Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin's recursion formula for describing the radial parts of fundamental…
A method for constructing random matrix models of disordered bosons
Alan Huckleberry, Kathrin Schaffert
Random matrix models of disordered bosons consist of matrices in the Lie algebra g=sp_n(R). Assuming dynamical stability, their eigenvalues are required to be purely imaginary. Her…
A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
Arne Alex, Matthias Kalus, Alan Huckleberry +1
We present an algorithm for the explicit numerical calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is wel…
Symplectic geometry of entanglement
Adam Sawicki, Alan Huckleberry, Marek Kuś
We present a description of entanglement in composite quantum systems in terms of symplectic geometry. We provide a symplectic characterization of sets of equally entangled states…
Haar expectations of ratios of random characteristic polynomials
A. Huckleberry, A. Puettmann, M. R. Zirnbauer
We compute Haar ensemble averages of ratios of random characteristic polynomials for the classical Lie groups K = O(N), SO(N), and USp(N). To that end, we start from the Clifford-W…