Ai, Jian-Feng; Zhang, Jian-Song; Chen, Ai-Xi Transmitting bipartite and multipartite correlations via spin chains under phase decoherence. (English) Zbl 1263.81068 Int. J. Quantum Inf. 10, No. 6, Paper No. 1250073, 11 p. (2012). Summary: We investigate the transfer of bipartite (measured by cocurrence) and multipartite (measured by global discord) quantum correlations though spin chains under phase decoherence. The influence of phase decoherence and anisotropy parameter upon quantum correlations transfer is investigated. On the one hand, in the case of no phase decoherence, there is no steady state quantum correlations between spins. On the other hand, if the phase decoherence is larger than zero, the bipartite quantum correlations can be transferred through a Heisenberg XXX chain for a long time and there is steady state bipartite entanglement. For a Heisenberg XX chain, bipartite entanglement between two spins is destroyed completely after a long time. Multipartite quantum correlations of all spins are more robust than bipartite quantum correlations. Thus, one can store multipartite quantum correlations in spin chains for a long time under phase decoherence. MSC: 81P45 Quantum information, communication, networks (quantum-theoretic aspects) 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 81S22 Open systems, reduced dynamics, master equations, decoherence 81P40 Quantum coherence, entanglement, quantum correlations 94A40 Channel models (including quantum) in information and communication theory Keywords:quantum correlations; phase decoherence; spin chain PDFBibTeX XMLCite \textit{J.-F. Ai} et al., Int. J. Quantum Inf. 10, No. 6, Paper No. 1250073, 11 p. (2012; Zbl 1263.81068) Full Text: DOI References: [1] Nielsen M. A., Quantum Computation and Quantum Information (2000) · Zbl 1049.81015 [2] DOI: 10.1103/PhysRevLett.70.1895 · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895 [3] DOI: 10.1103/PhysRevLett.67.661 · Zbl 0990.94509 · doi:10.1103/PhysRevLett.67.661 [4] DOI: 10.1103/PhysRevLett.91.207901 · doi:10.1103/PhysRevLett.91.207901 [5] DOI: 10.1038/35102129 · doi:10.1038/35102129 [6] DOI: 10.1038/nature01494 · doi:10.1038/nature01494 [7] DOI: 10.1103/PhysRevA.67.042311 · doi:10.1103/PhysRevA.67.042311 [8] DOI: 10.1103/PhysRevLett.92.187902 · doi:10.1103/PhysRevLett.92.187902 [9] DOI: 10.1103/PhysRevA.72.022345 · doi:10.1103/PhysRevA.72.022345 [10] DOI: 10.1103/PhysRevA.71.032310 · doi:10.1103/PhysRevA.71.032310 [11] DOI: 10.1103/PhysRevA.71.032309 · doi:10.1103/PhysRevA.71.032309 [12] DOI: 10.1103/PhysRevA.71.042330 · doi:10.1103/PhysRevA.71.042330 [13] DOI: 10.1103/PhysRevA.82.052320 · doi:10.1103/PhysRevA.82.052320 [14] DOI: 10.1103/PhysRevA.81.032120 · doi:10.1103/PhysRevA.81.032120 [15] DOI: 10.1103/PhysRevA.84.052316 · doi:10.1103/PhysRevA.84.052316 [16] DOI: 10.1016/j.physa.2011.12.016 · doi:10.1016/j.physa.2011.12.016 [17] DOI: 10.1007/978-3-662-09642-0 · doi:10.1007/978-3-662-09642-0 [18] DOI: 10.1103/PhysRevA.44.5401 · doi:10.1103/PhysRevA.44.5401 [19] DOI: 10.1088/0953-4075/43/2/025501 · doi:10.1088/0953-4075/43/2/025501 [20] DOI: 10.1140/epjd/e2011-20148-6 · doi:10.1140/epjd/e2011-20148-6 [21] DOI: 10.1016/0003-4916(61)90115-4 · Zbl 0129.46401 · doi:10.1016/0003-4916(61)90115-4 [22] DOI: 10.1103/PhysRevLett.80.2245 · Zbl 1368.81047 · doi:10.1103/PhysRevLett.80.2245 [23] DOI: 10.1103/PhysRevA.84.042109 · doi:10.1103/PhysRevA.84.042109 [24] DOI: 10.1103/PhysRevA.48.3900 · doi:10.1103/PhysRevA.48.3900 [25] DOI: 10.1103/PhysRevLett.77.1413 · Zbl 0947.81003 · doi:10.1103/PhysRevLett.77.1413 [26] DOI: 10.1016/S0375-9601(96)00706-2 · Zbl 1037.81501 · doi:10.1016/S0375-9601(96)00706-2 [27] DOI: 10.1103/PhysRevA.65.032314 · doi:10.1103/PhysRevA.65.032314 [28] DOI: 10.1103/PhysRevA.54.3824 · Zbl 1371.81041 · doi:10.1103/PhysRevA.54.3824 [29] DOI: 10.1103/PhysRevA.53.2046 · doi:10.1103/PhysRevA.53.2046 [30] DOI: 10.1103/PhysRevLett.88.017901 · Zbl 1255.81071 · doi:10.1103/PhysRevLett.88.017901 [31] DOI: 10.1088/0305-4470/34/35/315 · Zbl 0988.81023 · doi:10.1088/0305-4470/34/35/315 [32] DOI: 10.1103/PhysRevA.77.042303 · doi:10.1103/PhysRevA.77.042303 [33] DOI: 10.1103/PhysRevLett.106.120401 · Zbl 1255.81032 · doi:10.1103/PhysRevLett.106.120401 [34] DOI: 10.1103/PhysRevA.81.022106 · doi:10.1103/PhysRevA.81.022106 [35] DOI: 10.1016/j.physrep.2011.08.003 · doi:10.1016/j.physrep.2011.08.003 [36] DOI: 10.1103/PhysRevLett.106.190502 · doi:10.1103/PhysRevLett.106.190502 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.