Geometric Quantum Entanglement for Enhanced Computation
Jincheng Zhang
Abstract
This paper explores the potential of geometric quantum entanglement – a novel approach to encoding and manipulating quantum information – to achieve exponential speedups in certain computations. We introduce a new methodology based on the design of entanglement structures intrinsically linked to geometric properties, aiming to leverage the underlying mathematical structures of geometry to enhance computational capabilities. The core mechanism centers around creating entangled states where the entanglement itself reflects geometric relationships, offering a pathway toward fundamentally new algorithmic optimizations. This work investigates the theoretical implications and potential practical applications of this approach, emphasizing the role of geometric entanglement as a key enabler of accelerated computation.