Combinatorial logic devices based on a multi-path active ring circuit

TL;DR

This paper introduces a novel active ring circuit-based logic device that finds computational paths through resonance conditions, demonstrated via numerical modeling for prime factorization and shortest path problems.

Contribution

It presents a new active ring circuit design that performs computation by searching for resonance paths, combining electric and magnetic components for versatile problem solving.

Findings

Successfully modeled prime factorization using the device.

Demonstrated shortest path finding on a mesh network.

The system naturally searches for resonance paths based on circuit parameters.

Abstract

In this work, we describe a logic device in which an act of computation is associated with finding a path connecting input and output ports. The device is based on an active ring circuit comprising electric and magnetic parts. The electric part includes an amplifier, a phase shifter, and an attenuator. The magnetic part is a multi-port magnetic matrix comprising delay lines and frequency filters. Signals propagating on different paths may accumulate different phase shifts. Auto-oscillations occur in the circuit when the magnetic and electric parts match each other to meet the resonance amplitude and phase conditions. The system naturally searches for a resonance path that depends on the position of the electric phase shifter and amplification level. The path is detected by the set of power sensors. The proposed logic device can be used for solving a variety of computational problems. We present the results of numerical modeling illustrating prime factorization and finding the shortest path connected selected points on the mesh.