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Uspekhi Mat. Nauk, 2005, Volume 60, Issue 2(362), Pages 153–154 (Mi umn1411)  

This article is cited in 44 scientific papers (total in 44 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

On the notion of entanglement in Hilbert spaces

R. F. Wernera, A. S. Holevob, M. E. Shirokovb

a Institute of Mathematical Physics, TUB, Braunschweig, Germany
b Steklov Mathematical Institute, Russian Academy of Sciences


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English version:
Russian Mathematical Surveys, 2005, 60:2, 359–360

Bibliographic databases:

MSC: 47A67, 47B10, 94A40
Presented: А. В. Булинский
Accepted: 15.03.2005

Citation: R. F. Werner, A. S. Holevo, M. E. Shirokov, “On the notion of entanglement in Hilbert spaces”, Uspekhi Mat. Nauk, 60:2(362) (2005), 153–154; Russian Math. Surveys, 60:2 (2005), 359–360

Citation in format AMSBIB
\by R.~F.~Werner, A.~S.~Holevo, M.~E.~Shirokov
\paper On the notion of entanglement in Hilbert spaces
\jour Uspekhi Mat. Nauk
\yr 2005
\vol 60
\issue 2(362)
\pages 153--154
\jour Russian Math. Surveys
\yr 2005
\vol 60
\issue 2
\pages 359--360

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    2. M. E. Shirokov, “On properties of quantum channels related to their classical capacity”, Theory Probab. Appl., 52:2 (2008), 250–276  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. M. E. Shirokov, “Entropy characteristics of subsets of states. II”, Izv. Math., 71:1 (2007), 181–218  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. M. E. Shirokov, A. S. Holevo, “On Approximation of Infinite-Dimensional Quantum Channels”, Problems Inform. Transmission, 44:2 (2008), 73–90  mathnet  crossref  mathscinet  isi  elib
    5. A. S. Holevo, “Entanglement-Breaking Channels in Infinite Dimensions”, Problems Inform. Transmission, 44:3 (2008), 171–184  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    6. M. E. Shirokov, “On Channels with Finite Holevo Capacity”, Theory Probab. Appl., 53:4 (2009), 648–662  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    7. Owari M., Plenio M.B., Polzik E.S., Serafini A., Wolf M.M., “Squeezing the limit: quantum benchmarks for the teleportation and storage of squeezed states”, New J. Phys., 10 (2008), 113014, 20 pp.  crossref  isi  elib
    8. V. Yu. Protasov, M. E. Shirokov, “Generalized compactness in linear spaces and its applications”, Sb. Math., 200:5 (2009), 697–722  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. Skowronek Ł., Størmer E., Życzkowski K., “Cones of positive maps and their duality relations”, J. Math. Phys., 50:6 (2009), 062106, 18 pp.  crossref  mathscinet  zmath  adsnasa  isi
    10. M. E. Shirokov, “On properties of the space of quantum states and their application to the construction of entanglement monotones”, Izv. Math., 74:4 (2010), 849–882  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    11. Gharibian S., “Strong NP-hardness of the quantum separability problem”, Quantum Inf. Comput., 10:3-4 (2010), 343–360  mathscinet  zmath  isi  elib
    12. A. S. Holevo, “Entropy gain and the Choi–Jamiolkowski correspondence for infinite-dimensional quantum evolutions”, Theoret. and Math. Phys., 166:1 (2011), 123–138  mathnet  crossref  crossref  mathscinet  adsnasa  isi
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    18. Fritz T., “Beyond Bell's Theorem: Correlation Scenarios”, New J. Phys., 14 (2012), 103001  crossref  mathscinet  isi
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    20. Min Jiang, Shunlong Luo, Shuangshuang Fu, “Channel-state duality”, Phys. Rev. A, 87:2 (2013)  crossref  zmath  isi
    22. Crann J., Neufang M., “Quantum Channels Arising From Abstract Harmonic Analysis”, J. Phys. A-Math. Theor., 46:4 (2013), 045308  crossref  mathscinet  zmath  adsnasa  isi  elib
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    26. Ivan J.S., Sabapathy K.K., Simon R., “Nonclassicality Breaking Is the Same as Entanglement Breaking for Bosonic Gaussian Channels”, Phys. Rev. A, 88:3 (2013), 032302  crossref  isi  elib
    27. Guo Yu., “The Chsh-Type Inequalities for Infinite-Dimensional Quantum Systems”, Mod. Phys. Lett. B, 27:21 (2013), 1350151  crossref  mathscinet  isi  elib
    28. Guo Yu., Hou J., “Realignment Operation and Ccnr Criterion of Separability for States in Infinite-Dimensional Quantum Systems”, Rep. Math. Phys., 72:1 (2013), 25–40  crossref  mathscinet  zmath  isi
    29. Guo Yu., Hou J., Wang Yu., “Concurrence for Infinite-Dimensional Quantum Systems”, Quantum Inf. Process., 12:8 (2013), 2641–2653  crossref  mathscinet  zmath  isi
    30. Holik F., Massri C., Plastino A., Zuberman L., “On the Lattice Structure of Probability Spaces in Quantum Mechanics”, Int. J. Theor. Phys., 52:6 (2013), 1836–1876  crossref  mathscinet  zmath  isi
    31. Guo Yu, Hou JinChuan, “Entanglement Detection Beyond the Ccnr Criterion for Infinite-Dimensions”, Chin. Sci. Bull., 58:11 (2013), 1250–1255  crossref  isi
    32. M. E. Shirokov, “Schmidt Number and Partially Entanglement-Breaking Channels in Infinite-Dimensional Quantum Systems”, Math. Notes, 93:5 (2013), 766–779  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
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