• Corpus ID: 14902454

A Possible New Quantum Algorithm: Arithmetic with Large Integers via the Chinese Remainder Theorem

@article{Fulling1999APN,
  title={A Possible New Quantum Algorithm: Arithmetic with Large Integers via the Chinese Remainder Theorem},
  author={Stephen A. Fulling},
  journal={arXiv: Quantum Physics},
  year={1999}
}
  • S. Fulling
  • Published 11 November 1999
  • Physics, Mathematics
  • arXiv: Quantum Physics
Residue arithmetic is an elegant and convenient way of computing with integers that exceed the natural word size of a computer. The algorithms are highly parallel and hence naturally adapted to quantum computation. The process differs from most quantum algorithms currently under discussion in that the output would presumably be obtained by classical superposition of the output of many identical quantum systems, instead of by arranging for constructive interference in the wave function of a… 

Figures from this paper

References

SHOWING 1-9 OF 9 REFERENCES
Large Numbers, the Chinese Remainder Theorem, and the Circle of Fifths
whose solutions are integers that grow rapidly with n. (This is a cooked-up example. For a realistic problem of this nature, look at [2], especially the formula at the end, and contemplate
The Art of Computer Programming
TLDR
The arrangement of this invention provides a strong vibration free hold-down mechanism while avoiding a large pressure drop to the flow of coolant fluid.
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1999
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1997
Phys. Rev. A
  • Phys. Rev. A
  • 1996
The Art of Computer Programming 2 / Seminumerical Algorithms
  • D. Knuth
  • Computer Science, Materials Science
  • 1971
TLDR
The process includes selectively extracting metal values such as molybdenum and copper from ferrosilicate slags containing less than 5 percent by weight magnetite into a molten immiscible metal sulfide matte, which is then subjected to solvent extraction or precipitation to produce the desired metal product.
Math. Comput
  • Math. Comput
  • 1966
Fulling , Large numbers , the Chinese remainder theorem , and the circle of fifths , submitted to Math
  • The Art of Computer Programming