41 citations · 263 across the 42 of their papers we have counts for
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Stratification of the space of density matrices via invariant theory and Uhlmann's connection
Howy Jordan, Markus J. Pflaum, Gerd Rudolph
The space of density matrices is the full state space of an -level quantum system. While it has been asserted in the literature on quantum information theory that de…
A Classifying Space for Phases of Matrix Product States
Daniel D. Spiegel, Marvin Qi, David T. Stephen +3
We construct a topological space consisting of translation invariant injective matrix product states (MPS) of all physical and bond dimensions and show that it has th…
Homotopical Foundations of Parametrized Quantum Spin Systems
Agnes Beaudry, Michael Hermele, Juan Moreno +3
In this paper, we present a homotopical framework for studying invertible gapped phases of matter from the point of view of infinite spin lattice systems, using the framework of al…
Deformation quantization and homological reduction of a lattice gauge model
Markus J. Pflaum, Gerd Rudolph, Matthias Schmidt
For a compact Lie group we consider a lattice gauge model given by the -Hamiltonian system which consists of the cotangent bundle of a power of with its canonical symple…
A homological approach to singular reduction in deformation quantization
Martin Bordemann, Hans-Christian Herbig, Markus J. Pflaum
We use the method of homological quantum reduction to construct a deformation quantization on singular symplectic quotients in the situation, where the coefficients of the moment m…
On the deformation quantization of symplectic orbispaces
Markus J. Pflaum
In the first part of this article we provide a geometrically oriented approach to the theory of orbispaces which originally had been introduced by Chen. We explain the notion of a…