14,249 research outputs found

    Quantum Walks and Reversible Cellular Automata

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    We investigate a connection between a property of the distribution and a conserved quantity for the reversible cellular automaton derived from a discrete-time quantum walk in one dimension. As a corollary, we give a detailed information of the quantum walk.Comment: 15 pages, minor corrections, some references adde

    Lefschetz fibrations with small slope

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    We construct Lefschetz fibrations over S2S^2 which do not satisfy the slope inequality. This gives a negative answer to a question of Hain.Comment: 9 pages, 2 figures, Main changes are the corrections of the statement and proof of Theorem 1.5. This version correct the statements and proofs of Corollary 1.3 and 1.
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