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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Quanteninformation I

MP 1.2: Talk

Tuesday, February 28, 2012, 09:40–10:05, ZHG 003

Renormalization Group and Continuum Limit of Quantum Cellular Automata — •Zoltan Zimboras — Quantum Information Theory Group, ISI, Torino

We develop a renormalization group formalism for Quantum Cellular Automata (reminiscent of the algebraic renormalization group of Buchholz and Verch). Using this formalism, we can define the continuum limit for certain automata. As a particular example, we show that the continuum limit of the so-called "Glider Clifford Cellular Automaton" is the 1+1 dimensional relativistic QFT of free majorana fermions.