N. David Mermin

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To celebrate the 60th birthday of Charles H. Bennett I (1) publicly announce my referee reports for the original dense coding and telepor-tation papers, (2) present a very economical solution to the Bernstein-Vazirani problem that does not even hint at interference between multiple universes, and (3) describe how I inadvertently reinvented the Copen-hagen(More)
The Fourier-space approach to crystal symmetry 1;2 is extended to colored quasiperiodic structures as an example of the general case of indistinguishable quasiperiodic multicomponent elds. Examples are given of 2-and 5-color space groups on the 10-fold 2-dimensional lattice. We consider a multicomponent quasiperiodic eld (r) whose components (r) could(More)
Redundancies are pointed out in the widely used extension of the crystallographic concept of Bravais class to quasiperiodic materials. Such pitfalls can be avoided by abandoning the obsolete paradigm that bases ordinary crystallography on microscopic periodicity. The broadening of ordinary crystallography to include quasiperiodic materials is accomplished(More)
We describe, using the example of the one non{trivial rank{4 orthorhombic Bravais class, a procedure to determine the low-rank space groups that can arise from a given high-rank space group through a continuous phase transition. Consider a continuous structural phase transition whose only eeect in Fourier space is a slight distortion of the lattice of wave(More)
given in Table 1 are for an IBM 9021-720 mainframe computer. The program is in principle available for distribution , but interested parties should consult with the author first. Abstract As a pedagogical illustration of the Fourier-space approach to the crystallography of quasiperiodic crystals, a simple derivation is given of the space-group(More)