Entanglement detection via the condition of quantum correlation

Journal Article · Sat Sep 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.032313· OSTI ID:21015944

Li, C -M ^[1]; Liyi, Hsu ^[2]; Chen, Y -N ^[3]; Chuu, D -S ^[1]; Brandes, Tobias ^[4]

---

1. Department of Electrophysics, National Chiao Tung University, Hsinchu 30050, Taiwan (China)
2. Department of Physics, Chung Yuan Christian University, Chung-li 32023, Taiwan (China)
3. Department of Physics and National Center for Theoretical Sciences, National Cheng Kung University, Tainan 701, Taiwan (China)
4. Institut fuer Theoretische Physik, Technische Universitaet Berlin, Hardenbergstrasse 36 D-10623 Berlin (Germany)

We develop a necessary condition of quantum correlation. It is utilized to construct a d-level bipartite Bell-type inequality which is strongly resistant to noise and requires only analyses of O(d) measurement outcomes compared to the previous result O(d{sup 2}). Remarkably, a connection between the arbitrary high-dimensional bipartite Bell-type inequality and entanglement witnesses is found. Through the necessary condition of quantum correlation, we propose that the witness operators to detect truly multipartite entanglement for a generalized Greenberger-Horne-Zeilinger (GHZ) state with two local measurement settings and a four-qubit singlet state with three settings. Moreover, we also propose a robust entanglement witness to detect a four-level tripartite GHZ state with only two local measurement settings.

• OSTI ID: 21015944
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BELL THEOREM
CORRELATIONS
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS