Quantum Computation Based on Measurement Theory
Jincheng Zhang
Abstract
This paper proposes a novel computational model based on quantum measurement theory. The core idea is to treat computation as a series of quantum measurements, offering a potentially transformative paradigm for computing. We decompose computational tasks into sequences of measurements, leveraging mathematical tools from quantum measurement theory to perform calculations. The model explores the impact of the measurement process on computational efficiency. Unlike existing models rooted in classical physics, this approach directly addresses the fundamental role of measurement in information processing, potentially unlocking new computational possibilities. The model is presented with detailed mathematical formulations, focusing on measurement operators, state vectors, and the dynamics of measurement processes. The analysis aims to provide a theoretical framework for understanding and developing quantum computation based on the principles of measurement. ---