Entanglement and Relativity

• Main Authors: Pan Feng-Ming, 潘鳳鳴
• Other Authors: Lin Feng-Li
• Format: Others
• Language: en_US
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/96397726684607141646

碩士 === 國立臺灣師範大學 === 物理學系 === 99 === We study the entanglement in the relativistic framework. The bipartite quantum state can be classied into pure state or mixed state. One can judge if the pure state is entangled or not by Schmidt decomposition, and the bi-partite entanglement of pure state is quantied by the von Neumann entropy. On the other hand, we adopt the positive partial transpose (PPT) criterion to study the entanglement for the mixed separable states, and quantify it by evaluating the quantities such as the concurrence and negativity. We study the properties of von Neumann entropy, concurrence and negativity under Lorentz transformation. Some examples for the entanglement in the weak and strong gravitational elds are discussed.