Topological Optimization of Quantum Circuits
Jincheng Zhang
Abstract
This paper explores the potential of topological optimization for quantum circuit design. Traditional quantum circuit design relies heavily on classical optimization techniques, often leading to complex and error-prone circuits. This work proposes a novel approach leveraging the inherent properties of topological networks to minimize circuit complexity and reduce errors. The core concept involves mapping quantum circuits onto a topologically protected network, where the topological features inherently constrain and optimize the circuit layout. This approach aims to reduce qubit-qubit distances and unwanted interactions, thereby enhancing the robustness and scalability of quantum computation. The theoretical framework presented here outlines the key considerations and potential benefits of this topological optimization strategy. Further research and development in this area are anticipated to significantly impact the design and implementation of future quantum computers. ---