Entanglement and quantum teleportation conditions from non-local quantum computing theory

Abstract

Entanglement and quantum teleportation are two inter-related subjects and can be explained through four fundamental non-local quantum computing diagonal operator-state relations, which model the conservative phase-interaction between two adjacent atoms of an entangled atomic chain. Each model atom possesses four eigen-states. There exists a minimum focus distance between the two atoms for the entanglement to exist. Consequently, there exist perpetual elastic phase-changing events on the entire entangled chain at every discrete time interval that is evaluated and shown here. It is analogous to Newton’s first law of motion in discrete time. Quantum teleportation means every extra $2\pi$ phase between the atoms can be translated in Fourier space into an additional separation distance, a quantized value.