A Computational Library Using P-adic Arithmetic for Exact Computation With Rational Numbers in Quantum Computing
Final rept. 7 Jan 2005-30 Jun 2006
TOWSON UNIV MD
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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.
- Theoretical Mathematics
- Quantum Theory and Relativity