Dimensional Geometry Adaptive Quantum Computing
Jincheng Zhang
Abstract
This paper investigates the potential of dimensionality-aware quantum computing, specifically exploring the concept of a novel approach that leverages quantum entanglement to expand computational space beyond the limitations of classical physics. We introduce a new method for manipulating quantum states through a geometric transformation, enabling calculations in higher dimensions without the need for traditional positional operations. The core mechanism centers around establishing a quantum entanglement network to directly map quantum states to higher-dimensional spaces, exploiting the correlated nature of entanglement to perform computations. The study aims to demonstrate the feasibility of this approach, highlighting its potential to address complex problems currently intractable for classical computers. The proposed method promises a paradigm shift in quantum algorithm design and offers a pathway to fundamentally expand the capabilities of quantum computation.