Title | Bell's inequality, generalized concurrence and entanglement in qubits |
Publication Type | Journal Article |
Year of Publication | 2019 |
Authors | P-Y. Chang, S-K. Chu, and C-T. Ma |
Journal | Int. J. Mod. Phys. A |
Volume | 34 |
Pagination | 1950032 |
Date Published | MAR 10 |
Type of Article | Article |
ISSN | 0217-751X |
Keywords | Bell's inequality, entanglement, generalized concurrence, QUBIT |
Abstract | It is well known that the maximal violation of the Bell's inequality for a two-qubit system is related to the entanglement formation in terms of a concurrence. However, a generalization of this relation to an n-qubit state has not been found. In this paper, we demonstrate some extensions of the relation between the upper bound of the Bell's violation and a generalized concurrence in several n-qubit states. In particular, we show the upper bound of the Bell's violation can be expressed as a function of the generalized concurrence, if a state can be expressed in terms of two variables. We apply the relation to the Wen-Plaquette model and show that the topological entanglement entropy can be extracted from the maximal Bell's violation. |
DOI | 10.1142/S0217751X19500325 |