Wu Wei in Chuang Tzu as Life-Systematic

Wu wei (non-doing) in Chuang Tzu is expressed in story-bits reflecting life-slices. They are lifesystematic, not random, not having a system. One; Chuang Tzu is a dragonfly over the pond of life, dotting the water of daily ongoing without dotting it. Two; the dotting is dot-sayings that yam life\u27s concrete bits into story-coherence. Three; Chuang Tzu dots and struts around to let others say, and life-coherenc.e appears. FoUl\u27; life-coherence is a life-family of concrete bits, a thread of many life-fibres twisted together. Five; Chu Hsi and Chuang Tzu have dot-sayings that draw readers into making systems of their own to attribute them to Chu and Chuang Tzu. System is then a verb, to let-make systems, weaving out a system beyond system. Six; this system-beyond is expressed in spontaneous flexuous story-nets to cipher comprehensive/ systematic life. Seven; being flexibly systematic expresses the inexpressible One Poem of life. All this while, Chuang Tzu has been winking at us, letting us spin out all the above. That is tacit wu wei- of living happily ever after

Categorifications and cyclotomic rational double affine Hecke algebras

Varagnolo and Vasserot conjectured an equivalence between the category O for CRDAHA's and a subcategory of an affine parabolic category O of type A. We prove this conjecture. As applications, we prove a conjecture of Rouquier on the dimension of simple modules of CRDAHA's and a conjecture of Chuang-Miyachi on the Koszul duality for the category O of CRDAHA's.Comment: 85 page

Multi-output programmable quantum processor

By combining telecloning and programmable quantum gate array presented by Nielsen and Chuang [Phys.Rev.Lett. 79 :321(1997)], we propose a programmable quantum processor which can be programmed to implement restricted set of operations with several identical data outputs. The outputs are approximately-transformed versions of input data. The processor successes with certain probability.Comment: 5 pages and 2 PDF figure

Additive versus abelian 2-representations of fiat 2-categories

We study connections between additive and abelian 2-rep- resentations of fiat 2-categories, describe combinatorics of 2-categories in terms of multisemigroups and determine the annihilator of a cell 2- representation. We also describe, in detail, examples of fiat 2-categories associated to sl2-categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras

Nuclear Magnetic Resonance Implementation of a Quantum Clock Synchronization Algorithm

The quantum clock synchronization algorithm proposed by I. L. Chuang (Phys. Rev. Lett, 85, 2006(2000)) has been implemented in a three qubit nuclear magnetic resonance quantum system. The effective-pure state is prepared by the spatial averaging approach. The time difference between two separated clocks can be determined by reading out directly through the NMR spectra.Comment: 13 pages, 5 figure