Discrete and Continuous Systems of Logic in Nuclear Magnetic Resonance

TL;DR

This paper explores implementing various non-binary logic systems using nuclear magnetic resonance (NMR) spin dynamics, highlighting NMR's suitability for testing unconventional computational approaches despite not aiming for practical devices.

Contribution

It demonstrates the implementation of non-binary logic in NMR systems, providing insights into their potential and limitations for unconventional computation.

Findings

NMR can implement multiple non-binary logic systems

NMR's high experimental control makes it ideal for testing unconventional logic

Results are relevant for other spin-based computational platforms

Abstract

We implement several non-binary logic systems using the spin dynamics of nuclear spins in nuclear magnetic resonance (NMR). The NMR system is a suitable test system because of its high degree of experimental control; findings from NMR implementations are relevant for other computational platforms exploiting particles with spin, such as electrons or photons. While we do not expect the NMR system to become a practical computational device, it is uniquely useful to explore strengths and weaknesses of unconventional computational approaches, such as non-binary logic.