Entanglement introduces an instantaneous correlation between quantum particles and that challenges classical intuitions. We see a pressing need to develop a comprehensive understanding of the application of quantum entanglement in modern fields like spintronics, photonics, and quantum communication. Concurrently, entropy - a classical measure of disorder - is an ideal mathematical method to play a similar role in the quantum system, i.e. quantifying the information content of an entangled system. On top of that, new methods like concurrence and negativity provide additional measurement for more complicated systems like in mixed states entanglement. Adding another layer to this intricate connection is the quantum phase - a phenomenon arising from the quantum evolution of a system's wave function – which comprises the dynamic, geometric and topological components. The major significance of this project lies not only in its potential to unravel more intricate connection between entanglement and the quantum phases as a theoretical pursuit, but also in its practical implications for emerging technologies in the fields of quantum spintronics, photonics and communications. Study may lead to new quantum technologies that could be realized in the nanoscience platforms of spintronics and photonics as well as in the fields of communication, e.g. quantum radar or teleportation. This study would lead naturally to a greater understanding of the physics of entanglement on quantum transport and curvature. This, we hope, may lead to a preliminary understanding of how gravity may have an impact on photon-based quantum communication.
