English

Identification of three-qubit entanglement

Quantum Physics 2015-06-12 v1

Abstract

We present a way of identifying all kinds of entanglement for three-qubit pure states in terms of the expectation values of Pauli operators. The necessary and sufficient conditions to classify the fully separable, biseparable, and genuine entangled states are explicitly given. The approach can be generalized to multipartite high-dimensional cases. For three-qubit mixed states, we propose two kinds of inequalities in terms of the expectation values of complementary observables. One inequality has advantages in entanglement detection of the quantum state with positive partial transpositions, and the other is able to detect genuine entanglement. The results give an effective method for experimental entanglement identification.

Keywords

Cite

@article{arxiv.1301.4317,
  title  = {Identification of three-qubit entanglement},
  author = {Ming-Jing Zhao and Ting-Gui Zhang and Xianqing Li-Jost and Shao-Ming Fei},
  journal= {arXiv preprint arXiv:1301.4317},
  year   = {2015}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-21T23:11:38.987Z