67 citations · 270 across the 9 of their papers we have counts for
4 papers · 1 filter
Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
Thomas Nitsche, Tobias Geib, Christoph Stahl +5
We study topological phenomena of quantum walks by implementing a novel protocol that extends the range of accessible properties to the eigenvalues of the walk operator. To this en…
Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
C. Cedzich, T. Geib, C. Stahl +3
We provide a classification of translation invariant one-dimensional quantum walks with respect to continuous deformations preserving unitarity, locality, translation invariance, a…
The topological classification of one-dimensional symmetric quantum walks
C. Cedzich, T. Geib, F. A. Grünbaum +4
We give a topological classification of quantum walks on an infinite 1D lattice, which obey one of the discrete symmetry groups of the tenfold way, have a gap around some eigenvalu…
Bulk-edge correspondence of one-dimensional quantum walks
C. Cedzich, F. A. Grünbaum, C. Stahl +3
We outline a theory of symmetry protected topological phases of one-dimensional quantum walks. We assume spectral gaps around the symmetry-distinguished points +1 and -1, in which…