Title: Universal Quantum State Representation
Jincheng Zhang
Abstract
Quantum State Representation (QSR) is a novel formalism for representing quantum states, designed to facilitate efficient computation and communication across diverse quantum platforms. This paper introduces a 'Quantum Hierarchical State Space' – a layered network structuring quantum states – to enhance algorithm design and computational efficiency. We demonstrate the benefits of this structure through a rigorous analysis of key quantum algorithms, highlighting its potential to overcome current limitations in quantum software development. The core mechanism involves organizing states into a hierarchical system, allowing for targeted computation and improved algorithmic adaptability. This represents a significant step towards a more unified and versatile approach to quantum computing, offering a potential bridge between established paradigms.