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Entanglement of multipartite Schmidt-correlated states. (English) Zbl 1220.81168
Summary: We generalize the Schmidt-correlated states to multipartite systems. The related equivalence under SLOCC, the separability, entanglement witness, entanglement measures of negativity, concurrence and relative entropy are investigated in detail for the generalized Schmidt-correlated states.

MSC:
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
94A17 Measures of information, entropy
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[1] Nielsen, M.A.; Chuang, I.L., Quantum computation and quantum information, (2000), Cambridge Univ. Press Cambridge · Zbl 1049.81015
[2] Peres, A., Phys. rev. lett., 77, 1413, (1996)
[3] Horodecki, M.; Horodecki, P.; Horodecki, R., Phys. lett. A, 223, 1, (1996)
[4] Nielsen, M.A.; Kempe, J., Phys. rev. lett., 86, 5184, (2001)
[5] Rudolph, O., Quantum inf. proc., 4, 219, (2005)
[6] Chen, K.; Wu, L.A., Quantum inf. comput., 3, 193, (2003)
[7] Bennett, C.H.; DiVincenzo, D.P.; Smolin, J.A.; Wootters, W.K., Phys. rev. A, 54, 3824, (1996)
[8] Horodecki, M.; Bruß, D.; Plenio, M.B.; Virmani, S., Quantum inf. comput., J. math. phys., Quantum inf. comput., 7, 1, (2007)
[9] Uhlmann, A.; Rungta, P.; Buzek, V.; Caves, C.M.; Hillery, M.; Milburn, G.J.; Albeverio, S.; Fei, S.M., Phys. rev. A, Phys. rev. A, J. opt. B: quantum semiclass. opt., 3, 223, (2001)
[10] Vidal, G.; Werner, R.F., Phys. rev. A, 65, 032314, (2002)
[11] Vedral, V.; Plenio, M.B., Phys. rev. A, 57, 1619, (1998)
[12] Wootters, W.K., Phys. rev. lett., 80, 2245, (1998)
[13] Terhal, B.M.; Gerd, K.; Vollbrecht, K.G.H.; Fei, S.M.; Jost, J.; Li-Jost, X.Q.; Wang, G.F.; Fei, S.M.; Wang, Z.X.; Zhao, H., Phys. rev. lett., Phys. lett. A, Phys. lett. A, 329, 414, (2004)
[14] Rungta, P.; Caves, C.M., Phys. rev. A, 67, 012307, (2003)
[15] Chen, K.; Albeverio, S.; Fei, S.M., Phys. rev. lett., 95, 040504, (2005)
[16] Chen, K.; Albeverio, S.; Fei, S.M., Phys. rev. lett., 95, 210501, (2005)
[17] Breuer, H.-P., J. phys. A: math. gen., 39, 11847, (2006)
[18] Rains, E.M., Phys. rev. A, 60, 179, (1999)
[19] Khasin, M.; Kosloff, R., Phys. rev. A, 76, 012304, (2007)
[20] Albeverio, S.; Fei, S.M., J. opt. B: quantum semiclass. opt., 3, 223, (2001)
[21] Rains, E.M., Phys. rev. A, 60, 1, (1999)
[22] Virmani, S.; Sacchi, M.F.; Plenio, M.B.; Markham, D., Phys. lett. A, 288, 62, (2001)
[23] Chen, Y.X.; Yang, D., Quantum inf. proc., 1, 389, (2002)
[24] Khasin, M.; Kosloff, R.; Steinitz, D., Phys. rev. A, 75, 052325, (2007)
[25] Pan, F.; Lu, G.Y., Int. J. mod. phys. B, 20, 1333, (2006)
[26] Lamata, L.; León, J.; Salgado, D.; Solano, E., Phys. rev. A, 74, 052336, (2006)
[27] Pati, A.K., Phys. lett. A, 278, 118, (2000)
[28] Terhal, B.M., Phys. lett. A, 271, 319, (2000)
[29] Hyllus, P.; Gühne, O.; Bruß, D.; Lewenstein, M., Phys. rev. A, 72, 012321, (2005)
[30] de Vicente, J.I., Quantum inf. comput., 7, 624, (2007)
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