Quantum State Compression and Information Extraction via Quantum Decoherence
Jincheng Zhang
Abstract
This paper investigates a novel approach to quantum state compression and information extraction leveraging the inherent properties of quantum decoherence. The core concept involves utilizing the decoherence process itself as a tool for compressing quantum states while simultaneously extracting information preserved during this process. We demonstrate a theoretical framework wherein controlled decoherence can be harnessed to reduce the dimensionality of a quantum state, effectively compressing it, and simultaneously identify and isolate the information content that survives the decoherence. This work establishes a new perspective on quantum information processing, viewing decoherence not merely as a detrimental effect but as a potentially valuable resource for information manipulation. The proposed method offers a fundamentally different strategy for quantum state manipulation compared to traditional approaches, presenting a promising avenue for enhanced quantum state compression and information retrieval. The framework includes key mathematical formulations describing the decoherence process, state compression, and information extraction.