# Aachen 2019 – scientific programme

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# AKPIK: Arbeitskreis Physik, moderne Informationstechnologie und Künstliche Intelligenz

## AKPIK 2: Machine-learning methods and computing in particle physics

### AKPIK 2.9: Talk

### Tuesday, March 26, 2019, 17:20–17:30, H10

**Universal Self-Organizing Logic Gates: A Wave Digital Emulation** — Karlheinz Ochs, •Enver Solan, Dennis Michaelis, and Leon Schmitz — Ruhr-University Bochum, Bochum, Germany

Self-organizing logic gates are logic gates that can be operated in 'reverse' mode, meaning that every node can electively used as input or output node. This property can be exploited in the context of cryptographic methods, which rely on one-way functions. A commonly deployed one-way function in today's cryptographic approaches is the prime factorization where it is easy to check whether a given prime factorization results in a certain number, but it is difficult to obtain the prime factorization of a given number. In this work, the authors show a general electrical circuit with multiple memristors that can function as either a self-organzing or-gate or and-gate. It is known that it is possible to construct any logical conjunction with these two gates. The authors then exploit the wave digital method, which is known to preserve stability, to obtain a highly flexible emulator of the electrical circuit that for example could be implemented on a digital signal processor. This enables live parameter optimization and sensitivity analyses, making it a powerful tool to investigate different physical memristor models in this application. The simulation results verify a proper functioning of the emulator.