1. Creating Very True Quantum Algorithms for Quantum Energy Based Computing.
- Author
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Nagata, Koji, Nakamura, Tadao, Geurdes, Han, Batle, Josep, Abdalla, Soliman, Farouk, Ahmed, and Diep, Do Ngoc
- Subjects
- *
QUANTUM computing , *QUANTUM mechanics , *MATHEMATICAL functions , *PARALLEL computers , *FACTORS (Algebra) - Abstract
An interpretation of quantum mechanics is discussed. It is assumed that quantum is energy. An algorithm by means of the energy interpretation is discussed. An algorithm, based on the energy interpretation, for fast determining a homogeneous linear function
f (x ) :=s .x =s 1x 1 +s 2x 2 + ⋯ +s N x N is proposed. Herex = (x 1, …,x N ),x j ∈R and the coefficientss = (s 1, …,s N ),s j ∈N . Given the interpolation values (f(1),f(2),...,f(N))=y→, the unknown coefficients s=(s1(y→),…,sN(y→)) of the linear function shall be determined, simultaneously. The speed of determining the values is shown to outperform the classical case by a factor of N . Our method is based on the generalized Bernstein-Vazirani algorithm to qudit systems. Next, by usingM parallel quantum systems,M homogeneous linear functions are determined, simultaneously. The speed of obtaining the set ofM homogeneous linear functions is shown to outperform the classical case by a factor ofN ×M . [ABSTRACT FROM AUTHOR]- Published
- 2018
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