Maccone, Quantum-enhanced measurements: beating the standard quantum limit. Wacker, Increasing thermoelectric performance using coherent transport. Hybertsen, Probing the conductance superposition law in single-molecule circuits with parallel paths. Fan, Quantum coherence and geometric quantum discord. Fan, Maximum coherence in the optimal basis. Fan, Steered quantum coherence as a signature of quantum phase transitions in spin chains. Ma, Quantum uncertainty relation using coherence. Adesso, Measuring quantum coherence with entanglement. Zurek, Decoherence, einselection, and the quantum origins of the classical. Mansour, Local quantum uncertainty and local quantum Fisher information in two-coupled double quantum dots. Mansour, Thermal quantum correlations in a two-qubit Heisenberg model under Calogero-Moser and Dzyaloshinsky-Moriya interactions. Oulouda, Local quantum uncertainty vs negativity through Gisin states. Mansour et al., Non-classical correlations in multipartite generalized coherent states. Adesso, Characterizing nonclassical correlations via local quantum uncertainty. Vedral, Brukner, Necessary and sufficient condition for nonzero quantum discord. Vedral, Classical, quantum and total correlations. Zurek, Quantum discord: a measure of the quantumness of correlations. Streltsov, Quantum Correlations Beyond Entanglement (Springer, Cham, 2015), pp.17–22 Oppenheim, (Quantumness in the context of) resource theories. Daoud, Entangled thermal mixed states for multi-qubit systems. Dahbi, Randomized entangled mixed states from phase states. El Falaki, Decay of negativity of randomized multiqubit mixed states. Salah, Quantum correlations through spin coherent states. Scott, Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions. Wang, Measures of genuine multipartite entanglement for graph states. Brennen, An observable measure of entanglement for pure states of multi-qubit systems. Wallach, Global entanglement in multiparticle systems. Zagoskin, A characterization of global entanglement. Buchleitner, Concurrence of mixed bipartite quantum states in arbitrary dimensions. Buchleitner, Decoherence and Multipartite Entanglement. Dahbi, Quantum secret sharing protocol using maximally entangled multi-qudit states. Sanders, Quantum secret sharing with qdit graph states. Ekert, Quantum cryptography based on bell’s theorem. Brassard, Quantum cryptography: public key distribution and coin tossing. Zeilinger, Experimental quantum teleportation. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. We further show that depending on the temperature, DM, and KSEA interaction strengths, not only can the coherence and non-classical correlations be preserved, but that the initial mixed states can be readily transformed into maximally correlated and coherent states.Ĭ.H. The dynamical behavior of quantum correlations and coherence has been proven to be largely non-oscillatory. The \(\ell _1\) norm of coherence was shown to be more dependable than the relative entropy of coherence for quantifying coherence. Quantum correlations and coherence in spin chains have distinct natures and behave differently, which we find intriguing. We show that the qualitative as well as the quantitative features of the quantum correlations and coherence depend largely upon the parameters of the two-qubit spin-chain and magnetic field. Using local quantum uncertainty, we estimate quantum correlations in the considered thermal state, whereas quantum coherence is measured using \(\ell _1\) norm of coherence and relative entropy of coherence. We address the dynamics of quantum coherence and non-classical correlations in a two-qubit one-dimensional XXZ Heisenberg spin- \(\frac\) chain when exposed to a homogeneous magnetic field and characterized by the combined effects of temperature, Dzyaloshinsky–Moriya (DM), Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions.
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