A novel geometrical approach to quantum teleportation and remote estimation

Abstract

The process of transmitting an arbitrary unknown quantum state through quantum and classical channels between distant sender and receiver locations is commonly referred to as quantum teleportation. When physical presence at the quantum teleportation destination is impossible, we utilize quantum remote estimation to analyze the received information. This study introduces a novel geometrical approach to quantum teleportation based on a dipolar interacting magnetic system. Furthermore, we examine quantum remote estimation of the initial phase at the output of the geometric quantum teleportation via the current model. The research explores the impact of quantum-level crossings resulting from the magnetic anisotropies of dipolar interacting systems on the processes of quantum teleportation and quantum remote estimation. The results indicate that quantum teleportation and quantum remote estimation encounter challenges at the boundary of quantum level crossings but can be optimized in other states, such as the ground states. Our finding highlights the need for further investigations into geometric quantum teleportation and its implications.