Uncertainty Relation and Inseparability Criterion

详细信息    查看全文

• 作者：Ashutosh K. Goswami ; Prasanta K. Panigrahi
• 关键词：Entanglement ; Positive partial transpose (PPT) ; Uncertainty ; Inseparability
• 刊名：Foundations of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：47
• 期：2
• 页码：229-235
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：History and Philosophical Foundations of Physics; Quantum Physics; Classical and Quantum Gravitation, Relativity Theory; Statistical Physics and Dynamical Systems; Classical Mechanics; Philosophy of S
• 出版者：Springer US
• ISSN：1572-9516
• 卷排序：47

文摘

We investigate the Peres–Horodecki positive partial transpose criterion in the context of conserved quantities and derive a condition of inseparability for a composite bipartite system depending only on the dimensions of its subsystems, which leads to a bi-linear entanglement witness for the two qubit system. A separability inequality using generalized Schrodinger–Robertson uncertainty relation taking suitable operators, has been derived, which proves to be stronger than the bi-linear entanglement witness operator. In the case of mixed density matrices, it identically distinguishes the separable and non separable Werner states.