Scattering quantum walks on graphs are parameterized by vertex scattering matrices, shown to include known walks, and extended to open versions on edges or vertices that yield quantum channels with spectral and dynamical properties tied to associated Markov chains.
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Unitary and Open Scattering Quantum Walks on Graphs
Scattering quantum walks on graphs are parameterized by vertex scattering matrices, shown to include known walks, and extended to open versions on edges or vertices that yield quantum channels with spectral and dynamical properties tied to associated Markov chains.