Quantum State Transition Path (QSTP)
Jincheng Zhang
Abstract
This paper introduces the Quantum State Transition Path (QSTP) framework, a novel approach to understanding and characterizing quantum phase transitions. The core premise of QSTP posits that quantum phase transitions are governed not merely by initial and final states, but crucially by a unique, deterministic trajectory – the transition path itself. This path, denoted as [Pq], represents the quantum mechanical process through which the system evolves from its initial state to its final state, incorporating all intermediate quantum states along the way. The framework leverages quantum simulation techniques to explore and identify these transition paths, potentially revealing new insights into quantum dynamics and offering a pathway toward understanding phenomena currently considered intractable with traditional approaches. This work lays the foundation for a more rigorous and predictive model of quantum phase transitions, with potential implications for a range of scientific and technological applications.