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KY: Kybernetik

KY 1: Quantum Computing

KY 1.2: Talk

Monday, March 15, 1999, 14:45–15:30, ZO 3

Pattern Formation in Quantum Networks — •Ilki Kim and G"unter Mahler — Institut f. Theoretische Physik, Universit"at Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany

We investigate the iteration of a sequence of local and pair unitary trans- formations (quantum gate approximation), which can be interpreted to result from a Turing-head (pseudo-spin S) rotating along a closed Turing-tape (M additional pseudospins). The dynamical evolution of the Bloch-vector of S, which can be decomposed into primitive pure state Turing-head trajectories, gives rise to fascinating geometrical patterns reflecting the entanglement between head and tape. For specifc initial states (“input”), these patterns (“output”) can be easily calculated for any tape size. We thus show intuitive examples for quantum parallelism and, at the same time, means for local testing of quantum network dynamics.