@article {ISI:000462066300003,
title = {Bell{\textquoteright}s inequality, generalized concurrence and entanglement in qubits},
journal = {Int. J. Mod. Phys. A},
volume = {34},
number = {6-7},
year = {2019},
month = {MAR 10},
pages = {1950032},
publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
type = {Article},
abstract = {It is well known that the maximal violation of the Bell{\textquoteright}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{\textquoteright}s violation and a generalized concurrence in several n-qubit states. In particular, we show the upper bound of the Bell{\textquoteright}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{\textquoteright}s violation.},
keywords = {Bell{\textquoteright}s inequality, entanglement, generalized concurrence, QUBIT},
issn = {0217-751X},
doi = {10.1142/S0217751X19500325},
author = {Chang, Po-Yao and Chu, Su-Kuan and Ma, Chen-Te}
}
@article { ISI:000492838300012,
title = {Two-dimensional dilaton gravity theory and lattice Schwarzian theory},
journal = {Int. J. Mod. Phys. A},
volume = {34},
number = {29},
year = {2019},
month = {OCT 20},
pages = {1950176},
publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
type = {Article},
abstract = {We report a holographic study of a two-dimensional dilaton gravity theory with the Dirichlet boundary condition for the cases of nonvanishing and vanishing cosmological constants. Our result shows that the boundary theory of the two-dimensional dilaton gravity theory with the Dirichlet boundary condition for the case of nonvanishing cosmological constants is the Schwarzian term coupled to a dilaton field, while for the case of vanishing cosmological constant, a theory does not have a kinetic term. We also include the higher derivative term R-2, where R is the scalar curvature that is coupled to a dilaton field. We find that the form of the boundary theory is not modified perturbatively. Finally, we show that a lattice holographic picture is realized up to the second-order perturbation of boundary cutoff epsilon(2) under a constant boundary dilaton field and the nonvanishing cosmological constant by identifying the lattice spacing a of a lattice Schwarzian theory with the boundary cutoff epsilon of the two-dimensional dilaton gravity theory.},
keywords = {Dilaton gravity theory, higher derivative term, isometry, lattice Schwarzian theory},
issn = {0217-751X},
doi = {10.1142/S0217751X19501768},
author = {Chu, Su-Kuan and Ma, Chen-Te and Wu, Chih-Hung}
}
@article { ISI:000442061000013,
title = {Maximally entangled state and Bell{\textquoteright}s inequality in qubits},
journal = {ANNALS OF PHYSICS},
volume = {395},
year = {2018},
month = {AUG},
pages = {183-195},
keywords = {Bell{\textquoteright}s inequality, Maximally entangled state, Topological field theories, Topological states of matter},
issn = {0003-4916},
doi = {10.1016/j.aop.2018.05.016},
author = {Chu, Su-Kuan and Ma, Chen-Te and Miao, Rong-Xin and Wu, Chih-Hung}
}
@article { ISI:000411472400012,
title = {Bell{\textquoteright}s inequality and entanglement in qubits},
journal = {JOURNAL OF HIGH ENERGY PHYSICS},
number = {9},
year = {2017},
month = {SEP 20},
issn = {1029-8479},
doi = {10.1007/JHEP09(2017)100},
author = {Chang, Po-Yao and Chu, Su-Kuan and Ma, Chen-Te}
}