Pattern formation in quantum Turing machines

Details Pattern formation in quantum Turing machines Pattern formation in quantum Turing machines

1999-02-05

arxiv.org/abs/quant-ph/9902020v1

Physics

Quantum Physics

Accepted for publication in Phys.Rev.A, 3 figures, REVTEX file

Scientific paper

10.1103/PhysRevA.60.692

We investigate the iteration of a sequence of local and pair unitary transformations, which can be interpreted to result from a Turing-head (pseudo-spin $S$) rotating along a closed Turing-tape ($M$ additional pseudo-spins). The dynamical evolution of the Bloch-vector of $S$, which can be decomposed into $2^{M}$ primitive pure state Turing-head trajectories, gives rise to fascinating geometrical patterns reflecting the entanglement between head and tape. These machines thus provide intuitive examples for quantum parallelism and, at the same time, means for local testing of quantum network dynamics.

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