41 citations · 263 across the 42 of their papers we have counts for
44 papers
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…
On the Weak Contractibility of the Space of Pure States
Daniel D. Spiegel, Markus J. Pflaum
We prove that the space of pure states of a nonelementary, simple, separable, real rank zero -algebra has trivial homotopy groups of…
Charting the space of ground states with tensor networks
Marvin Qi, David T. Stephen, Xueda Wen +4
We employ matrix product states (MPS) and tensor networks to study topological properties of the space of ground states of gapped many-body systems. We focus on families of states…
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…
Localization in Hochschild homology
Markus J. Pflaum
Localization methods are ubiquitous in cyclic homology theory, but vary in detail and are used in different scenarios. In this paper we will elaborate on a common feature of locali…