Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer*

Abstract

We investigate the teleportation of an entangled state via a couple of quantum channels, which are composed of a spin-1/2 Heisenberg dimer in two infinite Ising–Heisenberg chains. The heterotrimetallic coordination polymer CuIIMnII(L1)][FeIII(bpb)(CN)2]·ClO4 · H2O (abbreviated as Fe–Mn–Cu) can be regarded as an actual material for this chain. We apply the transfer-matrix approach to obtain the density operator for the Heisenberg dimer and use the standard teleportation protocol to derive the analytical expression of the density matrix of the output state and the average fidelity of the entanglement teleportation. We study the effects of the temperature T, anisotropy coupling parameter Δ, Heisenberg coupling parameter J 2 and external magnetic field h on the quantum channels. The results show that anisotropy coupling Δ and Heisenberg coupling J 2 can favor the generation of the output concurrence and expand the scope of the successful average fidelity.

Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity

“…11(a), we fixed J 0 = 1, J = 4 and ∆ = 0.5. As can be seen, the average fidelity remains above 2/3 for weak magnetic fields in the original model [47]. When the impurity is induced in the model, in contrast to the original case, the behavior of the average fidelity becomes more robust, enabling teleportation of information in the regions of very strong magnetic fields.…”

“…In panels of this figure, solid lines describe the average fidelity of the original model recently investigated by Y. -D. Zheng et al [47]. In Fig.…”

“…On the other hand, motivated by the heterotrimetallic coordination compound [Cu II Mn II (L 1 )][Fe III (bpb)(CN) 2 ] • ClO 4 • H 2 O, abbreviated by simple notation Fe − Mn − Cu [36], the magnetization process and thermal entanglement of such a polymer on the 1-D Ising-Heisenebrg spin model have already been investigated in detail [46]. Not long ago, the entanglement teleportation via a couple of quantum channel based on the Ising-Heisenberg spin configuration of heterotrimetallic Fe − Mn − Cu coordination polymer was examined so far [47]. A very similar study has been carried out on the heterobimetalic coordination polymer [(Tp) 2 Fe 2 (CN) 6 (OAc)(bap)Cu 2 (CH 3 OH) • 2CH 3 OH • H 2 O] in Ref.…”

Unconventional strengthening of a bipartite entanglement of a mixed spin-(1/2,1) Heisenberg dimer achieved through Zeeman splitting

“…At fixed values of the model parameters, the specific value of the negativity (27) pertinent to the nondegenerate quantum ferrimagnetic ground state |QFI + is surprisingly much greater at nonzero magnetic fields than the zero-field value (24) inherent to the two-fold degenerate quantum ferrimagnetic phase |QFI ± forming the respective ground state in the zero-field limit. It could be thus concluded that the Zeeman splitting of energy levels due to the external magnetic field leads to an unexpected sudden rise of the bipartite quantum entanglement of the mixed spin-(1/2,1) Heisenberg dimer, which is in contrast with naive expectation that the magnetic field suppresses the quantum entanglement.…”

“…It is noteworthy that entanglement measures such as negativity [13][14][15] or concurrence [16] can be related via certain witnesses to thermodynamic quantities [17,18], which additionally offer an intriguing possibility for experimental testing [19,20]. Some quantum protocols such as a quantum teleportation of information cannot be even realized without many-particle entangled states [21][22][23][24].…”