Quantum Topology for Scalable Quantum Computation
Jincheng Zhang
Abstract
Quantum computation, leveraging the unique properties of quantum mechanics, holds immense potential for scientific discovery and technological advancement. However, scaling quantum systems to larger numbers poses significant challenges, primarily due to the difficulty in controlling and manipulating complex quantum states. This paper proposes a novel approach to quantum computation based on self-adaptive topology, offering a pathway towards more efficient and scalable quantum circuits. We introduce a framework that dynamically adjusts the topology of a quantum network to optimize performance based on the desired quantum algorithm. The core mechanism focuses on intelligently restructuring the network's connections to minimize errors and maximize fidelity. We demonstrate the effectiveness of this approach through a simplified model and preliminary results on a small-scale quantum circuit simulator. The potential implications of this research lie in significantly enhancing the speed and robustness of quantum computations, paving the way for more practical quantum algorithms.