A necessary and sufficient criterion for multipartite separable states
نویسندگان
چکیده
منابع مشابه
Separable multipartite mixed states: operational asymptotically necessary and sufficient conditions.
We introduce an operational procedure to determine, with arbitrary probability and accuracy, optimal entanglement witnesses for every multipartite entangled state. This method provides an operational criterion for separability which is asymptotically necessary and sufficient. Our results are also generalized to detect all different types of multipartite entanglement.
متن کاملSeparability criterion for multipartite pure quantum states
Using the modified tensor product of graphs defined in [1], we present here a graphical criterion for the separability of m-partite pure quantum states living in a real or complex Hilbert space. The criterion gives both necessary and sufficient condition for the separability of such states. This criterion was first conjectured by S. L. Braunstein, S. Ghosh, T. Mansour, S. Severini, and R. C. Wi...
متن کاملNecessary and sufficient conditions for local manipulation of multipartite pure quantum states
Suppose that several parties jointly possess a pure multipartite state, |ψ〉. Using local operations on their respective systems and classical communication (i.e. LOCC), it may be possible for the parties to transform deterministically |ψ〉 into another joint state |φ〉. In the bipartite case, the Nielsen majorization theorem gives the necessary and sufficient conditions for this process of entang...
متن کاملA combinatorial criterion for k-separability of multipartite Dicke states
Zhihua Chen, Zhihao Ma, Ting Gao, and Simone Severini Department of Mathematics, College of Science, Zhejiang University of Technology, Hangzhou 310024, China Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China and Department of Computer Science, University College Lon...
متن کاملA sufficient condition for additively separable functions
Additively separable functions on RN are of the form I;= 1 Ui(Xi). These functions have the obvious property that they are completely separable. That is, the induced orders on the (N 1)-dimensional sets {(x,, . . . , xN): xi0 = c} are independent of c. A natural question is whether the opposite is also true, that is, whether complete separability of a function V implies additive separability. D...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 2000
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(00)00595-8