67 citations · 211 across the 8 of their papers we have counts for
8 papers
An algorithm to factorize quantum walks into shift and coin operations
C. Cedzich, T. Geib, R. F. Werner
We provide an algorithm that factorizes one-dimensional quantum walks into a protocol of two basic operations: A fixed conditional shift that transports particles between cells and…
Chiral Floquet systems and quantum walks at half period
C. Cedzich, T. Geib, A. H. Werner +1
We classify chiral symmetric periodically driven quantum systems on a one-dimensional lattice. The driving process is local, can be continuous or discrete in time, and we assume a…
Singular continuous Cantor spectrum for magnetic quantum walks
C. Cedzich, J. Fillman, T. Geib +1
In this note, we consider a physical system given by a two-dimensional quantum walk in an external magnetic field. In this setup, we show that both the topological structure as wel…
Quantum walks: Schur functions meet symmetry protected topological phases
C. Cedzich, T. Geib, F. A. Grünbaum +3
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phase…
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…
Quantum walks in external gauge fields
C. Cedzich, T. Geib, A. H. Werner +1
Describing a particle in an external electromagnetic field is a basic task of quantum mechanics. The standard scheme for this is known as "minimal coupling", and consists of replac…
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…