Mots-clés : tripartite information
@article{TMF_2018_197_3_a11,
author = {I. Ya. Aref'eva and I. V. Volovich and O. V. Inozemtsev},
title = {Evolution of holographic entropy quantities for composite quantum systems},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {510--517},
year = {2018},
volume = {197},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a11/}
}
TY - JOUR AU - I. Ya. Aref'eva AU - I. V. Volovich AU - O. V. Inozemtsev TI - Evolution of holographic entropy quantities for composite quantum systems JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2018 SP - 510 EP - 517 VL - 197 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a11/ LA - ru ID - TMF_2018_197_3_a11 ER -
%0 Journal Article %A I. Ya. Aref'eva %A I. V. Volovich %A O. V. Inozemtsev %T Evolution of holographic entropy quantities for composite quantum systems %J Teoretičeskaâ i matematičeskaâ fizika %D 2018 %P 510-517 %V 197 %N 3 %U http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a11/ %G ru %F TMF_2018_197_3_a11
I. Ya. Aref'eva; I. V. Volovich; O. V. Inozemtsev. Evolution of holographic entropy quantities for composite quantum systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 3, pp. 510-517. http://geodesic.mathdoc.fr/item/TMF_2018_197_3_a11/
[1] I. Ya. Arefeva, I. V. Volovich, O. V. Inozemtsev, “Golograficheskii kontrol informatsii i dinamicheskoe izmenenie topologii sostavnykh otkrytykh kvantovykh sistem”, TMF, 193:3 (2017), 493–504 | DOI | DOI | MR
[2] M. Ohya, I. Volovich, Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems, Springer, Dordrecht, 2011 | DOI | MR
[3] A. S. Trushechkin, I. V. Volovich, “Perturbative treatment of inter-site couplings in the local description of open quantum networks”, Europhys. Lett., 113:3 (2016), 30005, 6 pp. | DOI
[4] S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in non-equilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021, 19 pp., arXiv: 1612.00213 | DOI | MR
[5] I. V. Volovich, S. V. Kozyrev, “Manipulyatsiya sostoyaniyami vyrozhdennoi kvantovoi sistemy”, Tr. MIAN, 294 (2016), 256–267 | DOI | DOI | MR
[6] I. V. Volovich, “Cauchy–Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light”, Phys. Lett. A, 380:1 (2016), 56–58 | DOI | MR
[7] I. Aref'eva, I. Volovich, Holographic photosynthesis, arXiv: 1603.09107
[8] I. Ya. Arefeva, “Golograficheskoe opisanie kvark-glyuonnoi plazmy, obrazuyuscheisya pri stolknoveniyakh tyazhelykh ionov”, UFN, 184:6 (2014), 569–598 | DOI | DOI
[9] I. Ya. Aref'eva, I. V. Volovich, “Holographic photosynthesis and entanglement entropy”, International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP38 (Tokyo University of Science, Japan, 1–7 October, 2017), 2019 (to appear)
[10] S. Ryu, T. Takayanagi, “Aspects of holographic entanglement entropy”, JHEP, 08 (2006), 045, 47 pp., arXiv: hep-th/0605073 | DOI
[11] V. E. Hubeny, M. Rangamani, T. Takayanagi, “A covariant holographic entanglement entropy proposal”, JHEP, 07 (2007), 062, 64 pp., arXiv: 0705.0016 | DOI | MR
[12] D. S. Ageev, I. Ya. Arefeva, “Probuzhdenie i skrembling v protsesse golograficheskogo nagreva”, TMF, 193:1 (2017), 146–161, arXiv: 1701.07280 | DOI | DOI | MR
[13] D. S. Ageev, I. Y. Aref'eva, “Holographic non-equilibrium heating”, JHEP, 2018 (2018), 103, 18 pp., arXiv: 1704.07747 | DOI
[14] B. Groisman, S. Popescu, A. Winter, “Quantum, classical, and total amount of correlations in a quantum state”, Phys. Rev. A, 72:3 (2005), 032317, 11 pp., arXiv: quant-ph/0410091 | DOI | MR
[15] D. Ryuel, Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 171 | MR
[16] H. Araki, E. H. Lieb, “Entropy inequalities”, Commun. Math. Phys., 18:2 (1970), 160–170 | DOI
[17] H. Casini, M. Huerta, “Remarks on the entanglement entropy for disconnected regions”, JHEP, 03 (2009), 048, 19 pp., arXiv: 0812.1773 | DOI | MR
[18] P. Hayden, M. Headrick, A. Maloney, “Holographic mutual information is monogamous”, Phys. Rev. D, 87:4 (2013), 046003, 11 pp., arXiv: 1107.2940 | DOI
[19] A. Kumar, “Multiparty quantum mutual information: an alternative definition”, Phys. Rev. A, 96:1 (2017), 012332, 5 pp., arXiv: 1504.07176 | DOI
[20] S. Watanabe, “Information theoretical analysis of multivariate correlation”, IBM J. Res. Develop., 4:1 (1960), 66–82 | DOI | MR
[21] R. Horodecki, “Informationally coherent quantum systems”, Phys. Lett. A, 187:2 (1994), 145–150 | DOI | MR
[22] D. Yang, K. Horodecki, M. Horodecki, P. Horodecki, J. Oppenheim, W. Song, “Squashed entanglement for multipartite states and entanglement measures based on the mixed convex roof ”, IEEE Trans. Inform. Theory, 55:7 (2009), 3375–3387, arXiv: 0704.2236 | DOI | MR
[23] M. E. Shirokov, “Mery korrelyatsii v beskonechnomernykh kvantovykh sistemakh”, Matem. sb., 207:5 (2016), 93–142 | DOI | DOI | MR | Zbl
[24] N. J. Cerf, S. Massar, S. Schneider, “Multipartite classical and quantum secrecy monotones”, Phys. Rev. A, 66:4 (2002), 042309, 13 pp., arXiv: quant-ph/0202103 | DOI
[25] S. Sazim, P. Agrawal, Quantum mutual information and quantumness vectors for multi-qubit systems, arXiv: 1607.05155
[26] K. Bradler, M. M. Wilde, S. Vinjanampathy, D. B. Uskov, “Identifying the quantum correlations in light-harvesting complexes”, Phys. Rev. A, 82:6 (2010), 062310, 12 pp., arXiv: 0912.5112 | DOI