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Violation of the Bell inequality in quantum critical random spin-1/2 chains

João C. Getelina, Thiago Rodrigues de Oliveira, José A. Hoyos

arXiv:1711.10005Physics Letters AAug 8, 20188 citations

The Hilbert-Schmidt norm as a measure of entanglement in spin-1/2 Heisenberg chain: generalized Bell inequality and distance between states

Saulo L L da Silva, Daniel H. T. Franco

In this letter, we show that the measure of entanglement using the generalized Bell inequality and the distance between states coincide when we use the Hilbert-Schmidt norm. Our conclusions apply to the spin-1/2 Heisenberg chains with interaction between the first neighbors.

arXiv:2104.09661Apr 19, 20210 citations

Quantum Entanglement and Bell’s Inequality

Biao Wu

Springer eBooksJan 1, 20231 citation

Quantum entanglement and Bell inequalities in Heisenberg spin chains

Wang, X, Paolo Zanardi A

We show that in one-dimensional isotropic Heisenberg model two-qubit thermal entanglement and maximal violation of Bell inequalities are directly related with a thermodynamical state function, i.e., the internal energy. Therefore they are completely determined by the partition function, the central object of thermodynamics. For ferromagnetic ring we prove that there is no thermal entanglement at any temperature. Explicit relations between the concurrence and the measure of maximal Bell inequality violation are given.We show that in one-dimensional isotropic Heisenberg model two-qubit thermal entanglement and maximal violation of Bell inequalities are directly related with a thermodynamical state function, i.e., the internal energy. Therefore they are completely determined by the partition function, the central object of thermodynamics. For ferromagnetic ring we prove that there is no thermal entanglement at any temperature. Explicit relations between the concurrence and the measure of maximal Bell inequality violation are given.

Feb 19, 2002145 citations

Entanglement and Bell Inequalities

Marian Kupczyński

arXiv:quant-ph/0407199Journal of Russian Laser ResearchNov 1, 200536 citations

Entanglement, Bell Inequalities and Quantum Information

Pierre Meystre, Murray Sargent

Springer eBooksJan 1, 20070 citations

Quantum entanglement and Bell inequalities in Heisenberg spin chains

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