Algorithmic Self-Assembly of Quantum Circuits
Jincheng Zhang
Abstract
This paper explores the potential for algorithmic self-assembly to revolutionize quantum circuit design. Traditionally, quantum circuit design is a highly manual and often inefficient process, heavily reliant on expert intuition and trial-and-error. We propose a novel approach where a quantum circuit is treated as a self-assembling system, governed by an evolutionary algorithm. This algorithm iteratively refines circuit topology and gate parameters to meet pre-specified performance criteria – such as fidelity, circuit depth, and gate count. The core claim is that by mimicking the self-assembly behavior observed in biological systems, we can automate the creation of optimized quantum circuits. This work formalizes this process, outlining a genetic algorithm that drives the automated design. The system's ability to explore a vast design space and adapt to complex performance requirements represents a significant advancement in the field, potentially unlocking the full capabilities of quantum computation. This paper details the algorithm's architecture, the optimization criteria, and the underlying mathematical framework, showcasing a viable path towards automated quantum circuit construction.