We investigate the detection of entanglement in $n$ -partite quantum states. We obtain practical separability criteria to identify genuinely entangled and nonseparable mixed quantum states. No numerical optimization or eigenvalue evaluation is needed, and our criteria can be evaluated by simple computations involving components of the density matrix. We provide examples in which our criteria perform better than all known separability criteria. Specifically, we are able to detect genuine $n$ -partite entanglement which has previously not been identified. In addition, our criteria can be used in today's experiments.We investigate the detection of entanglement in $n$-partite quantum states. We obtain practical separability criteria to identify genuinely entangled and nonseparable mixed quantum states. No numerical optimization or eigenvalue evaluation is needed, and our criteria can be evaluated by simple computations involving components of the density matrix. We provide examples in which our criteria perform better than all known separability criteria. Specifically, we are able to detect genuine $n$-partite entanglement which has previously not been identified. In addition, our criteria can be used in today's experiments.

arXiv:1007.4493Physical Review ADec 14, 201049 citations

Detection of $k$ -nonseparable $n$ -partite quantum statesDetection of $k$-nonseparable $n$-partite quantum states

Ting Gao, Yan Hong

The detection of multipartite entanglement in arbitrary dimensional systems is investigated. We derive useful $k$ -separability criteria of mixed $n$ -partite ( $n\geq 3$ ) quantum states to detect $k$ -nonseparable $n$ -partite quantum states. Our criteria can be expressed by the elements of the density matrix, which allows a simple and practical evaluation and computation. They are experimentally accessible without quantum state tomography.The detection of multipartite entanglement in arbitrary dimensional systems is investigated. We derive useful $k$-separability criteria of mixed $n$-partite ($n\geq 3$) quantum states to detect $k$-nonseparable $n$-partite quantum states. Our criteria can be expressed by the elements of the density matrix, which allows a simple and practical evaluation and computation. They are experimentally accessible without quantum state tomography.

arXiv:1207.1596Jul 6, 20120 citations

Detecting k -nonseparability via quantum Fisher information

Yan Hong, Shunlong Luo, Hongting Song

The $k$ -nonseparability is a kind of multipartite quantum correlation which can be used to characterize some aspects of multipartite entanglement. In this paper, we discuss the detection of $k$ -nonseparability of $n$ -partite quantum states from an information perspective and obtain some $k$ -nonseparability criteria in terms of quantum Fisher information. These criteria can identify many $k$ -nonseparable states, and their advantages over an important and well-known $k$ -nonseparability criterion [M. Huber et al., Phys. Rev. A 88, 042328 (2013)] are illustrated by several typical examples.The $k$-nonseparability is a kind of multipartite quantum correlation which can be used to characterize some aspects of multipartite entanglement. In this paper, we discuss the detection of $k$-nonseparability of $n$-partite quantum states from an information perspective and obtain some $k$-nonseparability criteria in terms of quantum Fisher information. These criteria can identify many $k$-nonseparable states, and their advantages over an important and well-known $k$-nonseparability criterion [M. Huber et al., Phys. Rev. A 88, 042328 (2013)] are illustrated by several typical examples.

Physical Review AApr 10, 201534 citations

We investigate the detection of entanglement in

n

-partite quantum states. We obtain practical separability criteria to identify genuinely entangled and nonseparable mixed quantum states. No numerical optimization or eigenvalue evaluation is needed, and our criteria can be evaluated by simple computations involving components of the density matrix. We provide examples in which our criteria perform better than all known separability criteria. Specifically, we are able to detect genuine

n

-partite entanglement which has previously not been identified. In addition, our criteria can be used in today's experiments.

Detection of

k

-nonseparable

n

-partite quantum states

The detection of multipartite entanglement in arbitrary dimensional systems is investigated. We derive useful

k

-separability criteria of mixed

n

-partite (

n\geq 3

) quantum states to detect

k

-nonseparable

n

-partite quantum states. Our criteria can be expressed by the elements of the density matrix, which allows a simple and practical evaluation and computation. They are experimentally accessible without quantum state tomography.

The

k

-nonseparability is a kind of multipartite quantum correlation which can be used to characterize some aspects of multipartite entanglement. In this paper, we discuss the detection of

k

-nonseparability of

n

-partite quantum states from an information perspective and obtain some

k

-nonseparability criteria in terms of quantum Fisher information. These criteria can identify many

k

-nonseparable states, and their advantages over an important and well-known

k

-nonseparability criterion [M. Huber et al., Phys. Rev. A 88, 042328 (2013)] are illustrated by several typical examples.