Topografen J. N. Schmidt.

Valerie Schmidt

Introduction We have all heard the old joke of school being all about the three “R’s”, Reading ‘Ritin and ‘Rithmatik, but because of increasing class sizes and reported lack of instruction time, writing has been passed over for the more “important” subjects. The advent of computers and the increasing ease of word processing have given teachers the ultimate excuse, but most beginning composition...

Schmidt Decomposition of the Quantum Fourier Transform on C N 1 ⊗ C N 2

Schmidt decompositions of the quantum Fourier transform on C1 ⊗C2 are computed for all N1,N2 ≥ 2. The Schmidt decomposition is shown to be completely degenerate when N1 is a factor of N2 and when N1 > N2. This generalizes previous decompositions, found for N1 = N2 = 2 n [M. A. Nielsen, PhD Thesis, University of New Mexico (1998), Chapter 6; arXiv:quant-ph/0011036], and, more generally, for N1 =...

Operator-schmidt Decomposition of the Quantum Fourier Transform on C N 1 ⊗ C N 2

Operator-Schmidt decompositions of the quantum Fourier transform on C N1 ⊗ C N2 are computed for all N1,N2 ≥ 2. The decomposition is shown to be completely degenerate when N1 is a factor of N2 and when N1 > N2. The first known special case, N1 = N2 = 2 , was computed by Nielsen in his study of the communication cost of computing the quantum Fourier transform of a collection of qubits equally di...

History and Provenance of the “Chinese” Calendar in the Z?j-i ?lkh?n?

This article sheds light upon a “Chinese” calendar described in the Z?j-i ?lkh?n?. In previous studies, some characteristics of the calendar were ascribed to the “Uighurs” However, I will show that it was not originally associated with the Uighur. This “Chinese” calendar was brought to Iran by the Chinese Taoist Fu Mengchi who accompanied his ruler Hülegü. Fu Mengchi informed Nas?r al-D?n T?s? ...

How , M . J . , Christy , J . H . , Temple , S . E . , Hemmi , J . M . , Justin Marshall , N .