423 citations · 1.1k across the 12 of their papers we have counts for
12 papers
Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type
Tyll Krueger, Guido Montufar, Ruedi Seiler +1
We define an algorithm that parses multidimensional arrays sequentially into mainly unrepeated but nested multidimensional sub-arrays of increasing size, and show that the resultin…
Universally Typical Sets for Ergodic Sources of Multidimensional Data
Tyll Krueger, Guido Montufar, Ruedi Seiler +1
We lift important results about universally typical sets, typically sampled sets, and empirical entropy estimation in the theory of samplings of discrete ergodic information source…
Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer
S. Jansen, E. H. Lieb, R. Seiler
We investigate Laughlin's fractional quantum Hall effect wave function in the cylinder geometry of Laughlin's integer quantum Hall effect argument, at filling factor 1/3. We show t…
Symmetry breaking in Laughlin's state on a cylinder
Sabine Jansen, Elliott H. Lieb, Ruedi Seiler
We investigate Laughlin's fractional quantum Hall effect wave function on a cylinder. We show that it displays translational symmetry breaking in the axial direction for sufficient…
Typical support and Sanov large deviations of correlated states
I. Bjelakovic, J. -D. Deuschel, T. Krueger +3
Discrete stationary classical processes as well as quantum lattice states are asymptotically confined to their respective typical support, the exponential growth rate of which is g…
Bounds for the adiabatic approximation with applications to quantum computation
Sabine Jansen, Mary-Beth Ruskai, Ruedi Seiler
We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of…