Pairwise quantum criteria and teleportation in a spin square complex

Abstract

Thermal non-classical correlations quantified by concurrence entanglement, local quantum uncertainty, and quantum coherence in a four-qubit square chain are exactly examined. The influences of the Hamiltonian parameters on the mentioned pairwise quantum criteria and fidelity of teleportation are studied, and the most interesting findings are discussed in detail. It is found that the tuning anisotropy results in enhancing the thermal quantum correlations and coherence as well as average fidelity until achieving maximum values. We persuasively deduce that quantum coherence is a more efficient criterion than that of concurrence and local quantum uncertainty to detect the quantumness of a thermal state.

Magnetic properties and entanglement of the octanuclear nickel phosphonate-based cage

“…In the first summation of eq. ( 1), the pairs i, j iterate through the tuples (1, 2), (3, 7), (4, 5), and (6, 8) of ferromagnetic interactions, and the second summation iterates through the tuples (1, 3), (1,4), (2,3), (2,4), (5,6), (5,8), (6,7), and (7, 8) for the antiferromagnetic interactions. The results of the magnetization plateaus and magnetic susceptibility investigations, when it involves non-trivial Heisenberg exchange anisotropies ∆ 1 and ∆ 2 (J i ), and the single-ion anisotropy property D is turned off using the Hamiltonian eq.…”

“…Research on quantum correlations, entanglement, and their relation to magnetic susceptibility in low-dimensional systems has attracted significant attention [4,5,6]. Thermal non-classical correlations quantified by concurrence entanglement, local quantum uncertainty, and quantum coherence in a four-qubit square chain, as well as the fidelity of teleportation, have been exactly examined [7,8]. Exactly solvable spin chains are important cornerstones of the quantum magnetism.…”

Local quantum Fisher information and local quantum uncertainty for general X states

“…The behavior of LQFI and LQU in various specific two-qubit systems was considered by many researchers [28,29,30,31,32,33,34,35,36,37,38]. In the previous paper [39], the behavior of LQU and LQFI (together with the entropic discord) was studied on the example of Bell-diagonal states, which are a subclass of X states and allow to include both DM and KSEA interactions but without Zeeman's terms.…”

Entanglement of the Ising–Heisenberg diamond spin- 1/2 cluster in evolution

“…the behaviour of thermal entanglement was also investigated. Recently, thermal entanglement, local quantum uncertainty, and quantum coherence in a four-qubit square chain described by the Heisenberg XXZ Hamiltonian was exactly examined [56]. The authors studied the influences of the Hamiltonian parameters on these criteria and fidelity of teleportation.…”