The measures of quantum entangled state via negativity and concurrence

In this thesis, EPR paradox, concepts such as non- locality, Bell?s inequalities, measurement problem, entagled states ect. Concurrence and negativity are well-known for the entanglement measures in bipartite quantum systems Experiments performed by means of entangled states are examined and how the entanglement concept being at the very heart of quantum mechanics, will reveal itself in the other fields o physics is investigated. One of the most surprising consequences of quantum mechanics is the entaglement of two or more distant particles. In 1935, Einstein-Podolsky-Rosen suggested the first classic entangled two-particle state, and proposed a gedankenexperiment. So far the defining measure has not been found for arbitrary qudits . We extend arbitrary states of the quantum systems and show how to construct entanglement via concurrence and negativity measurements.