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quant-ph2010★ 2 cited
Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality
Yutaka Shikano, Hosho Katsura
We introduce and study a class of discrete-time quantum walks on a one-dimensional lattice. In contrast to the standard homogeneous quantum walks, coin operators are inhomogeneous…
quant-ph2010★ 19 cited
Entanglement in valence-bond-solid states on symmetric graphs
Hosho Katsura, Naoki Kawashima, Anatol N. Kirillov +2
We study quantum entanglement in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model defined on two-dimensional graphs with reflection and/or inversion symmetry. The g…