Abstract

This paper explores the application of quantum entanglement, specifically using squeezed states and entangled atom interferometry, to enhance the precision of weak gravitational field measurements. We delve into the theoretical framework of quantum metrology, highlighting the limitations imposed by the Standard Quantum Limit (SQL) and how entanglement can circumvent these limits, approaching the Heisenberg Limit. A detailed methodology is presented, outlining the creation and manipulation of entangled atomic states for gravitational field sensing. We present simulated results demonstrating a significant improvement in measurement sensitivity compared to classical approaches. The discussion contextualizes these findings within existing research, emphasizing the potential for developing advanced quantum sensors for applications ranging from fundamental physics research to geophysical exploration. We conclude by outlining future research directions, including addressing decoherence effects and exploring the scalability of these quantum metrology techniques.