Tight Binding Hamiltonians and Quantum Turing Machines

Details Tight Binding Hamiltonians and Quantum Turing Machines Tight Binding Hamiltonians and Quantum Turing Machines

1996-10-17

arxiv.org/abs/quant-ph/9610026v1

Phys.Rev.Lett.78:590-593,1997

Physics

Quantum Physics

4 pages Latex, 2 postscript figures, submitted to Phys Rev Letters

Scientific paper

10.1103/PhysRevLett.78.590

This paper extends work done to date on quantum computation by associating potentials with different types of computation steps. Quantum Turing machine Hamiltonians, generalized to include potentials, correspond to sums over tight binding Hamiltonians each with a different potential distribution. Which distribution applies is determined by the initial state. An example, which enumerates the integers in succession as binary strings, is analyzed. It is seen that for some initial states the potential distributions have quasicrystalline properties and are similar to a substitution sequence.

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