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The quantum entanglement measure is determined, for the first time, for antiferromagnetic trimer spin-1/2 Heisenberg chains. The physical quantity proposed here to measure the entanglement is the distance between states by adopting the Hilbert–Schmidt norm. The method is applied to the new magnetic Cu(II) trimer system, (mathrm {2bcdot 3CuCl_2cdot 2H_2O}), and to the trinuclear Cu(II) halide salt, (mathrm {(3MAP)_2Cu_2Cl_8}). The decoherence temperature, above which the entanglement is suppressed, is determined for the both systems. A correlation among their decoherence temperatures and their respective exchange coupling constants is established; moreover, it is conjectured that the exchange coupling protects the system from decoherence as temperature increases.

Quantum entanglement in trimer spin-1/2 Heisenberg chains with antiferromagnetic coupling