Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure

Hirjibehedin, 2006, Spin coupling in engineered atomic structures, Science, 312, 1021, 10.1126/science.1125398 Brune, 2006, Assembly and probing of spin chains of finite size, Science, 312, 1005, 10.1126/science.1127387 Shulman, 2012, Demonstration of entanglement of electrostatically coupled singlet-triplet qubits, Science, 336, 202, 10.1126/science.1217692 Joulain, 2016, Quantum thermal transistor, Phys. Rev. Lett., 116, 10.1103/PhysRevLett.116.200601 Amselem, 2009, Experimental four-qubit bound entanglement, Nat. Phys., 5, 748, 10.1038/nphys1372 Barreiro, 2010, Experimental multiparticle entanglement dynamics induced by decoherence, Nat. Phys., 6, 943, 10.1038/nphys1781 Monz, 2011, 14-qubit entanglement: Creation and coherence, Phys. Rev. Lett., 106, 10.1103/PhysRevLett.106.130506 Wang, 2001, Entanglement in the quantum Heisenberg xy model, Phys. Rev. A, 64, 10.1103/PhysRevA.64.012313 Amico, 2004, Dynamics of entanglement in one-dimensional spin systems, Phys. Rev. A, 69, 10.1103/PhysRevA.69.022304 Mintert, 2005, Measures and dynamics of entangled states, Phys. Rep., 415, 207, 10.1016/j.physrep.2005.04.006 Hazzard, 2014, Quantum correlations and entanglement in far-from-equilibrium spin systems, Phys. Rev. A, 90, 10.1103/PhysRevA.90.063622 Qian, 2014, Pre-management of disentanglement, J. Phys. A, 47, 10.1088/1751-8113/47/26/265304 Kuzmak, 2015, Geometry of a two-spin quantum state in evolution, J. Phys. A, 49, 10.1088/1751-8113/49/4/045301 Wick, 2015, Entanglement formation under random interactions, J. Phys. A, 49, 10.1088/1751-8113/49/2/025303 Dür, 2000, Three qubits can be entangled in two inequivalent ways, Phys. Rev. A, 62, 10.1103/PhysRevA.62.062314 Hill, 1997, Entanglement of a pair of quantum bits, Phys. Rev. Lett., 78, 5022, 10.1103/PhysRevLett.78.5022 Wootters, 1998, Entanglement of formation of an arbitrary state of two qubits, Phys. Rev. Lett., 80, 2245, 10.1103/PhysRevLett.80.2245 Coffman, 2000, Distributed entanglement, Phys. Rev. A, 61, 10.1103/PhysRevA.61.052306 Guo, 2002, Scheme for the preparation of multiparticle entanglement in cavity qed, Phys. Rev. A, 65, 10.1103/PhysRevA.65.042102 Yamamoto, 2002, Polarization-entangled W state using parametric down-conversion, Phys. Rev. A, 66, 10.1103/PhysRevA.66.064301 Xiang, 2003, Scheme for preparation of the W-state by using linear optical elements, J. Opt. B: Quantum Semiclassical Opt., 5, 208, 10.1088/1464-4266/5/3/302 Eibl, 2004, Experimental realization of a three-qubit entangled W state, Phys. Rev. Lett., 92, 10.1103/PhysRevLett.92.077901 Jin, 2009, Generation of Greenberger–Horne–Zeilinger and W states for stationary qubits in a spin network via resonance scattering, Phys. Rev. A, 79, 10.1103/PhysRevA.79.042341 Zhang, 2014, Generation of W state and GHZ state of multiple atomic ensembles via a single atom in a nonresonant cavity, Opt. Commun., 312, 269, 10.1016/j.optcom.2013.09.047 Hu, 2015, W state generation by adding independent single photons, Quantum Inf. Process., 14, 2847, 10.1007/s11128-015-1030-0 Gorbachev, 2003, Can the states of the W-class be suitable for teleportation?, Phys. Lett. A, 314, 267, 10.1016/S0375-9601(03)00906-X Joo, 2003, Quantum teleportation via a W state, New J. Phys., 5, 136, 10.1088/1367-2630/5/1/136 Gorbachev, 2005, On multiparticle W states, their implementations and application in the quantum informational problems, Laser Phys. Lett., 3, 59, 10.1002/lapl.200510069 Cao, 2005, Teleportation of a two-particle entangled state via W class states, Physica A, 347, 177, 10.1016/j.physa.2004.08.033 Y. Li, Y. Liu, Supervised secure entanglement sharing for faithful quantum teleportation via tripartite W states, arXiv preprint arXiv:0709.1449. Li, 2007, The states of w-class as shared resources for perfect teleportation and superdense coding, J. Phys. A, 40, 10871, 10.1088/1751-8113/40/35/010 Zhu, 2015, W-state analyzer and multi-party measurement-device-independent quantum key distribution, Sci. Rep., 5, 17449, 10.1038/srep17449 C.H. Bennett, Quantum cryptography: Public key distribution and coin tossing, in: International Conference on Computer System and Signal Processing, IEEE, 1984, pp. 175–179. Lo, 2014, Secure quantum key distribution, Nat. Photonics, 8, 595, 10.1038/nphoton.2014.149 Horodecki, 1996, Separability of mixed states: necessary and sufficient conditions, Phys. Lett. A, 223, 1, 10.1016/S0375-9601(96)00706-2 Peres, 1996, Separability criterion for density matrices, Phys. Rev. Lett., 77, 1413, 10.1103/PhysRevLett.77.1413 Vidal, 2002, Computable measure of entanglement, Phys. Rev. A, 65, 10.1103/PhysRevA.65.032314 Li, 2006, Thermal entanglement versus mixture in a spin chain: Generation of maximally entangled mixed states, Physica A, 370, 430, 10.1016/j.physa.2006.03.001 Wang, 2007, Entanglement oscillations in open Heisenberg chains, Physica A, 383, 316, 10.1016/j.physa.2007.04.100 An, 2007, Entanglement dynamics of qubits in a common environment, Physica A, 382, 753, 10.1016/j.physa.2007.04.008 Guo, 2009, Pairwise entanglement of a three-qubit Heisenberg xy chain in a nonuniform magnetic field with intrinsic decoherence, Physica A, 388, 2254, 10.1016/j.physa.2009.01.030 Hide, 2012, Concurrence in disordered systems, J. Phys. A, 45, 10.1088/1751-8113/45/11/115302 Kuwahara, 2013, Role of external fields in enhancing long-distance entanglement at finite temperatures, J. Phys. A, 46, 10.1088/1751-8113/46/15/155302 Soltani, 2014, Quantum correlations in the 1d spin-1/2 ising model with added Dzyaloshinskii–Moriya interaction, Physica A, 416, 321, 10.1016/j.physa.2014.08.017 Fumani, 2016, Magnetic entanglement in spin-1/2 xy chains, Physica A, 445, 256, 10.1016/j.physa.2015.11.004 Mahmoudi, 2016, Effect of the Dzyaloshinskii–Moriya interaction on the propagation velocity of the entanglement, Physica A, 456, 176, 10.1016/j.physa.2016.03.012 Şahintaş, 2016, Entanglement in a four qubit j1–j2 Heisenberg xxz system with Dzyaloshinskii–Moriya interaction, Physica A, 448, 10, 10.1016/j.physa.2015.12.069 Gebremariam, 2016, Dynamics of quantum correlation of four qubits system, Physica A, 457, 437, 10.1016/j.physa.2016.03.098 Breuer, 2004, Non-markovian dynamics in a spin star system: Exact solution and approximation techniques, Phys. Rev. B, 70, 10.1103/PhysRevB.70.045323 Palumbo, 2006, Quantum correlations in a generalized spin star system, Open Syst. Inf. Dyn., 13, 309, 10.1007/s11080-006-9011-5 Krovi, 2007, Non-markovian dynamics of a qubit coupled to an ising spin bath, Phys. Rev. A, 76, 10.1103/PhysRevA.76.052117 Ferraro, 2008, Non-markovian dynamics of a single electron spin coupled to a nuclear spin bath, Phys. Rev. B, 78, 10.1103/PhysRevB.78.064309 Rossini, 2008, Bang–bang control of a qubit coupled to a quantum critical spin bath, Phys. Rev. A, 77, 10.1103/PhysRevA.77.052112 Wan-Li, 2009, Tunable thermal entanglement in an effective spin-star system using coupled microcavities, Chin. Phys. B, 18, 3677, 10.1088/1674-1056/18/9/012 Arshed, 2010, Channel capacities of an exactly solvable spin-star system, Phys. Rev. A, 81, 10.1103/PhysRevA.81.062353 Anza, 2010, Tripartite thermal correlations in an inhomogeneous spin–star system, J. Phys. B: At. Mol. Opt. Phys., 43, 10.1088/0953-4075/43/20/205501 Militello, 2011, Genuine tripartite entanglement in a spin-star network at thermal equilibrium, Phys. Rev. A, 83, 10.1103/PhysRevA.83.042305 San~Ma, 2013, Tripartite entanglement of a spin star model with Dzyaloshinskii–Moriya interaction, Quantum Inf. Process., 12, 321, 10.1007/s11128-012-0378-7 Behzadi, 2013, Thermal tripartite quantum correlations: quantum discord and entanglement perspectives, Eur. Phys. J. D, 67, 1, 10.1140/epjd/e2013-30435-9 D. Türkpençe, F. Altintas, M. Paternostro, Ö.E. Müstecaplıoğlu, A photonic carnot engine powered by a quantum spin-star network, arXiv preprint arXiv:1611.01475. Reinhard, 2012, Tuning a spin bath through the quantum–classical transition, Phys. Rev. Lett., 108, 10.1103/PhysRevLett.108.200402 Hanson, 2008, Coherent dynamics of a single spin interacting with an adjustable spin bath, Science, 320, 352, 10.1126/science.1155400 Hutton, 2002, Comparison of star and ring topologies for entanglement distribution, Phys. Rev. A, 66, 10.1103/PhysRevA.66.032320 Hutton, 2004, Mediated entanglement and correlations in a star network of interacting spins, Phys. Rev. A, 69, 10.1103/PhysRevA.69.042312 De~Chiara, 2004, Quantum cloning in spin networks, Phys. Rev. A, 70 Chen, 2010, Improving fidelity of quantum cloning via the Dzyaloshinskii–Moriya interaction in a spin network, Phys. Rev. A, 81, 10.1103/PhysRevA.81.032338 Mostafa Motamedifar, Pairwise thermal entanglement and quantum discord in a three-ligand spin-star structure, accepted for being published in QINP journal 2017.