Accession Number:

ADA456488

Title:

A Computational Library Using P-adic Arithmetic for Exact Computation With Rational Numbers in Quantum Computing

Descriptive Note:

Final rept. 7 Jan 2005-30 Jun 2006

Corporate Author:

TOWSON UNIV MD

Personal Author(s):

Report Date:

2005-11-30

Pagination or Media Count:

26.0

Abstract:

Many classes of physical problems can be modeled through the use of sets of linear equations. The solution of the sets of equations is equivalent to calculation of a matrix inverse or generalized inverse, or to the reduction of the matrix to some type of canonical form, including determination of characteristic equation. Conventional machine computation relies on p-ary for a radix number p such as 2 or 10, or floating-point computation, poor conditioning in connection with round-off error can result in unreliable answers. For scientific computations related to quantum physics, a possible approach is to use techniques of exact linear computation.

Subject Categories:

  • Theoretical Mathematics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE