Separability Criterion Of Quantum States

This thesis will probe the property of non-locality from the separability criterion of quantum states, and present a geometric diagram of a separable state: If a mixed stateσis separable, there are 2^nS(σ) linearly independent product vectors which span thesame Hilbert space as the 2^nS(σ) "likely" strings ofσ^(?)n do. This diagram results in a criterion for separability which is strictly stronger than the inorder criterion in [M. A. Nielsen and J. Kempe. Separable states are more disordered globally than locally. Phys. Rev. Lett, 2001, 86: 5184-5187].This means that the number of product bases of states of a system has close link to the nonlocality of the system.