Fast Quantum Maps
G. G. Athanasiu (U. Crete), E. G. Floratos (NRCPS Demokritos), S., Nicolis (CNRS-LMPT Tours)
TL;DR
This paper introduces number theoretic tools that enable fast computations for quantum mechanics over finite fields of odd size, achieving speedups similar to the Fast Fourier Transform.
Contribution
It presents novel number theoretic methods that significantly accelerate quantum computations over finite fields of arbitrary odd size.
Findings
Achieved computational speedups comparable to FFT for finite field quantum calculations.
Developed general number theoretic tools applicable to quantum mechanics over finite fields.
Demonstrated efficiency improvements in quantum map computations.
Abstract
We develop number theoretic tools that allow to perform computations relevant for the quantum mechanics over finite fields of arbitrary, odd size, with the same speedup that is enjoyed by the Fast Fourier Transform.
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