Title: Universal Quantum State Collapse as a Computation
Jincheng Zhang
Abstract
Quantum state collapse is a fundamental and often perplexing aspect of quantum mechanics, yet its role in the evolution of quantum systems is a subject of ongoing investigation. This paper explores a novel mathematical framework for understanding collapse as a computation, proposing that it represents a complex, computationally intensive process. We present a rigorous mathematical proof demonstrating that collapsing a quantum state inherently involves a computational step, opening the door to a fundamentally new approach to quantum algorithm design. We argue that this perspective shifts away from approximations and towards a more precise, mathematically grounded understanding of quantum computation. This work aims to provide a foundational basis for exploring and potentially designing quantum algorithms with unprecedented levels of control and predictability.