# 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.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Quantum Theory and Relativity