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Discrete and Continuous Systems of Logic in Nuclear Magnetic Resonance
Pedro M. Aguiar, Robert Hornby, Cameron Mcgarry, Simon O’keefe and Angelika Sebald

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.

Keywords: Non-binary logic, ternary logic, continuous logic, nuclear magnetic resonance, spin dynamics, experimental implementation

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