Quantum Computing Through Adaptive Geometry
Jincheng Zhang
Abstract
Quantum computing offers the potential for unprecedented computational power, but its implementation faces significant challenges regarding coherence, error correction, and scalability. This paper proposes a novel approach to quantum computation based on adaptive geometry, dynamically adjusting geometric transformations to enhance qubit coherence and stability. We explore a system where the qubit's state is continuously monitored and transformed, allowing for precise control over the quantum system. The core mechanism leverages a set of predefined transformations, which are dynamically adjusted based on the current state of the qubits, to mitigate noise and improve fidelity. This paper details the design of the adaptive geometry framework, its implementation, and preliminary results demonstrating significant improvements in coherence times and error rates compared to traditional approaches. The proposed method offers a promising pathway towards more robust and efficient quantum computation.