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The Great Debate in 1920 at the Smith-sonian Museum of Natural History between Harlow Shapley and Heber Cur-tis concerned the size of the Milky Way and whether it constituted the entire universe or was just one of innumerable island universes, or separate galaxies. The issue was settled in 1924 when Edwin Hubble observed Cepheid variables in the An-dromeda… (More)

- N David Mermin
- 2011

Two examples are given that substantially simplify the no-hidden-variables theorem of Kochen and Specker, greatly reducing the number of observables considered and requiring no intricate geometric argument. While one of the examples also obeys a more powerful version of Bell's theorem, the other does not. The examples provide a new perspective on both of… (More)

- N David Mermin
- 1999

In honor of Daniel Greenberger's 65th birthday, I record for posterity two superb examples of his wit, offer a proof of an important theorem on quantum correlations that even those of us over 60 can understand, and suggest, by trying to make it look silly, that invoking``quantum nonlocality'' as an explanation for such correlations may be too cheap a way… (More)

- N David Mermin
- 2002

A strategy is suggested for teaching mathematically literate students, with no background in physics, just enough quantum mechanics for them to understand and develop algorithms in quantum computation and quantum information theory. Although the article as a whole addresses teachers of physics well versed in quantum mechanics, the central pedagogical… (More)

II. Quantum Computation: General features and some simple examples A. The general computational process We would like a suitably programmed quantum computer to act on a number x to produce another number f (x) for some specified function f. Appropriately interpreted, with an accuracy that increases with increasing k, we can treat all such numbers as… (More)

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)

- N D Mermin, D S Wright, D A Rabson, N D Rokhsar, A Yamamoto, A bullet +3 others
- 2001

85 (1) Of the 16 general rank-4 Bravais classes, 14 have lattices that are simply the sum of a rank-3 crystallographic lattice and a one-dimensional lattice that is independently invariant under all point-group operations.* As a result, the space groups in all these cases can be trivially inferred from the Fourier-space forms of the ordinary rank-3 space… (More)

Through the reformulation of crystallography that treats periodic and quasiperiodic structures on an equal footing in three-dimensional Fourier space, a novel computation is given of the Bravais classes for the simplest kinds of incommensurately modulated crystals: (3+3) Bravais classes in the cubic system and (3+ 1) Bravais classes in any of the other six… (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)

- N David Mermin
- 1991

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)