190 citations · 1.6k across the 37 of their papers we have counts for
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Quantum Walks with Non-Orthogonal Position States
R. Matjeschk, A. Ahlbrecht, M. Enderlein +5
Quantum walks have by now been realized in a large variety of different physical settings. In some of these, particularly with trapped ions, the walk is implemented in phase space,…
Typical local measurements in generalised probabilistic theories: emergence of quantum bipartite correlations
Matthias Kleinmann, Tobias J. Osborne, Volkher B. Scholz +1
What singles out quantum mechanics as the fundamental theory of Nature? Here we study local measurements in generalised probabilistic theories (GPTs) and investigate how observatio…
Recurrence for discrete time unitary evolutions
F. A. Grünbaum, L. Velázquez, A. H. Werner +1
We consider quantum dynamical systems specified by a unitary operator U and an initial state vector ϕ. In each step the unitary is followed by a projective measurement checking whe…
Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations
Andre Ahlbrecht, Christopher Cedzich, Robert Matjeschk +3
Quantum walks subject to decoherence generically suffer the loss of their genuine quantum feature, a quadratically faster spreading compared to classical random walks. This intuiti…