Non-selective Measurement in a Tripartite Quantum System

Abstract

Abstract In a tripartite quantum system, research has shown how the dynamics can create correlations and entanglement especially for indirect correlation between the particles. Although, there is no direct correlation between the particles in some cases, however, after evolution or transformation they become entangled. In this paper, we demonstrate the use of one type of von Neumann measurement called the non-selective measurement. The objective of this paper is to investigate the effects of non-selective measurement on a chain of three oscillators A, B, C with nearest neighbour coupling when we performed the photon number measurement on A. We are interested to investigate the effects of quantum measurement on the correlation and entanglement, that is, whether it will increase or decrease and also the effects on the whole tripartite quantum system. It was discovered that, after the measurement on A, the correlation of oscillators A, B and A, C collapse to factorizable states and do not effect the entanglement of oscillator B,C.