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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…
On Strong Stability and Robust Strong Stability of Linear Difference Equations with Two Delays
Bin Zhou
This paper provides a necessary and sufficient condition for guaranteeing exponential stability of the linear difference equation where are constan…
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…
Properties of the Wigner distribution for n arbitrary operators
René Schwonnek, Reinhard F. Werner
We study a generalization of the Wigner function to arbitrary tuples of hermitian operators, which is a distribution uniquely characterized by the property that the marginals for a…
Wigner distributions for n arbitrary observables
René Schwonnek, Reinhard F. Werner
We study a generalization of the Wigner function to arbitrary tuples of hermitian operators. We show that for any collection of hermitian operators A1...An , and any quantum state…