Malaysian Journal of Mathematical Sciences, June 2014, Vol. 8(S)
Special Issue: The 6th Asia-Pacific Conference and Workshop in Quantum Information Science 2012 (APCWQIS2012)
Gisin's theorem via Hardy's inequality
Sixia Yu, Qing Chen, Chengjie Zhang, C. H. Lai and Choo Hiap Oh
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
The original Gisin's theorem states that all the entangled pure states of two qubits violate a single Bell's inequality, namely Clause-Horne-
Shimony-Holt (CHSH) inequality. In this paper, we show that all the entangled pure states for n particles also violate a single Bell's inequality,
namely Hardy's inequality arising from Hardy's nonlocality test without inequality. Thus Gisin's theorem is proved in its most general form
from which it follows that for pure states Bell's nonlocality and quantum entanglement are equivalent. In the sense of Gisin's theorem, Hardy's inequality can be regarded as a natural generalization of CHSH inequality.
Keywords: -
