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Showing 2015 · math-phShow all
3 papers · 2 filters
math-ph2015
Quantum walks on simplicial complexes
Kaname Matsue, Osamu Ogurisu, Etsuo Segawa
We construct a new type of quantum walks on simplicial complexes as a natural extension of the well-known Szegedy walk on graphs. One can numerically observe that our proposing qua…
math-ph2015★ 8 cited
Dynamics of an Open System for Repeated Harmonic Perturbation
Hiroshi Tamura, Valentin A. Zagrebnov
We use the Kossakowski-Lindblad-Davies formalism to consider an open system defined as the Markovian extension of one-mode quantum oscillator S, perturbed by a piecewise stationary…
math-ph2015★ 36 cited
Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
Hajime Nagoya
We develop the theory of irregular conformal blocks of the Virasoro algebra. In previous studies, expansions of irregular conformal blocks at regular singular points were obtained…