We derive a general framework to identify genuinely multipartite entangled mixed quantum states in arbitrary-dimensional systems and show in exemplary cases that the constructed criteria are stronger than those previously known. Our criteria are simple functions of the given quantum state and detect genuine multipartite entanglement that had not been identified so far. They are experimentally accessible without quantum state tomography and are easily computable as no optimization or eigenvalue evaluation is needed.We derive a general framework to identify genuinely multipartite entangled mixed quantum states in arbitrary-dimensional systems and show in exemplary cases that the constructed criteria are stronger than those previously known. Our criteria are simple functions of the given quantum state and detect genuine multipartite entanglement that had not been identified so far. They are experimentally accessible without quantum state tomography and are easily computable as no optimization or eigenvalue evaluation is needed.

arXiv:0912.1870Physical Review LettersMay 24, 2010258 citations

Detection of genuine entanglement for multipartite quantum states

Hui Zhao, Yu-Qiu Liu, Naihuan Jing +1 more

arXiv:2302.08655Quantum Information ProcessingSep 17, 20225 citations

Svetlichny’s approach to detecting genuine multipartite entanglement in arbitrarily-high-dimensional systems by a Bell-type inequality

Dong-Ling Deng, Zi-Sui Zhou, Jing‐Ling Chen

Based on the assumption of partial separability, we derive Bell-type inequalities for $N$ $d$ -dimensional (qudit) systems, which can detect experimentally genuine multipartite entanglement that cannot be reduced to mixtures of states in which a smaller number of particles are entangled. We also introduce the concept ``resolution'' to measure the strength of these inequalities to distinguish full entanglement from partial entanglement when white noise is added to the system.Based on the assumption of partial separability, we derive Bell-type inequalities for $N$ $d$-dimensional (qudit) systems, which can detect experimentally genuine multipartite entanglement that cannot be reduced to mixtures of states in which a smaller number of particles are entangled. We also introduce the concept ``resolution'' to measure the strength of these inequalities to distinguish full entanglement from partial entanglement when white noise is added to the system.

Physical Review AAug 13, 20098 citations

Based on the assumption of partial separability, we derive Bell-type inequalities for

N

d

-dimensional (qudit) systems, which can detect experimentally genuine multipartite entanglement that cannot be reduced to mixtures of states in which a smaller number of particles are entangled. We also introduce the concept ``resolution'' to measure the strength of these inequalities to distinguish full entanglement from partial entanglement when white noise is added to the system.