Towards algorithm-free physical equilibrium model of computing

TL;DR

This paper proposes a novel physical equilibrium-based computing model that replaces traditional algorithms with parallel physical processes, aiming to efficiently solve NP-complete problems by leveraging equilibrium states.

Contribution

It introduces a fundamentally different computing paradigm based on physical equilibrium, moving away from sequential algorithms for solving complex problems.

Findings

Physical systems can represent solutions as equilibrium states.

Quantum circuits are proposed for implementing the model.

The model offers a new approach to NP-complete problems.

Abstract

Our computers today, from sophisticated servers to small smartphones, operate based on the same computing model, which requires running a sequence of discrete instructions, specified as an algorithm. This sequential computing paradigm has not yet led to a fast algorithm for an NP-complete problem despite numerous attempts over the past half a century. Unfortunately, even after the introduction of quantum mechanics to the world of computing, we still followed a similar sequential paradigm, which has not yet helped us obtain such an algorithm either. Here a completely different model of computing is proposed to replace the sequential paradigm of algorithms with inherent parallelism of physical processes. Using the proposed model, instead of writing algorithms to solve NP-complete problems, we construct physical systems whose equilibrium states correspond to the desired solutions and let them evolve to search for the solutions. The main requirements of the model are identified and quantum circuits are proposed for its potential implementation.