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- 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)

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)

- 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)

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)

- N David Mermin
- 2008

Minkowski diagrams in 1+1 dimensional flat space-time are given a strictly geometric derivation, directly from two gedanken experiments incorporating the principle of the constancy of the velocity of light and the principle of (special) relativity. Rectangles of photon trajectories play a central role in determining the simultaneity convention and in… (More)

The role of measurement in quantum computation is examined in the light of John Bell's critique of the how the term " measurement " is used in quantum mechanics. I argue that within the field of quantum computer science the concept of measurement is precisely defined, unproblematic, amd forms the foundation of the entire subject. Here are some words which.… (More)

- Ron Lifshitz, N David Mermin, K Ha + Kb + Lc, Mc
- 1995

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)

I explain what kinds of correlation or even direct classical communication between detectors invalidate Bell's theorem, and what kinds do not. [1] of my simple demonstration [2] that their refutation [3] of an elementary version of Bell's theorem [4] cannot be correct. Rather than belabor misconceptions 1 in [3], I prefer to examine a question of more… (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)