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Volumn 11, Issue 1, 2004, Pages 43-52

On positive maps, entanglement and quantization

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EID: 4043056498     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:OPSY.0000024754.43298.95     Document Type: Review
Times cited : (3)

References (41)
  • 2
    • 0346048205 scopus 로고    scopus 로고
    • Implementability of Liouville evolution, Koopman and Banach-Lamperti theorems in classical and quantum dynamics
    • I. Antoniou, W. A. Majewski and Z. Suchanecki, Implementability of Liouville evolution, Koopman and Banach-Lamperti theorems in classical and quantum dynamics, Open Sys. Information Dyn. 9, 1 (2002).
    • (2002) Open Sys. Information Dyn. , vol.9 , pp. 1
    • Antoniou, I.1    Majewski, W.A.2    Suchanecki, Z.3
  • 8
    • 0016522050 scopus 로고
    • Completely positive maps on complex matrices
    • M.-D., Choi, Completely Positive Maps on Complex Matrices, Lin. Alg. Appl. 10, 285 (1975).
    • (1975) Lin. Alg. Appl. , vol.10 , pp. 285
    • Choi, M.-D.1
  • 10
    • 0011048773 scopus 로고
    • Charactérisation des espaces vectoriels ordonnés sous-jacents aux algèbres de von Neumann
    • A. Connes, Charactérisation des espaces vectoriels ordonnés sous-jacents aux algèbres de von Neumann, Ann. Inst. Fourier, Grenoble 24, 121 (1974).
    • (1974) Ann. Inst. Fourier, Grenoble , vol.24 , pp. 121
    • Connes, A.1
  • 12
    • 11644279337 scopus 로고
    • Time dependent statistics of the Ising model
    • R. J. Glauber, Time dependent statistics of the Ising model, J. Mat. Phys. 4, 294 (1963).
    • (1963) J. Mat. Phys. , vol.4 , pp. 294
    • Glauber, R.J.1
  • 13
    • 0037599242 scopus 로고    scopus 로고
    • Entangled states with positive partial transposes arising from indecomposable positive linear maps
    • K-Ch. Ha, S-H. Kye, Y. S. Park, Entangled states with positive partial transposes arising from indecomposable positive linear maps, Phys. Lett. A 313, 163 (2003).
    • (2003) Phys. Lett. A , vol.313 , pp. 163
    • Ha, K.-Ch.1    Kye, S.-H.2    Park, Y.S.3
  • 14
    • 0042376719 scopus 로고    scopus 로고
    • Separability of mixed states: Necessary and sufficient conditions
    • M. Horodecki, P. Horodecki, R. Horodecki, Separability of mixed states: necessary and sufficient conditions, Phys. Lett A 223, 1 (1996).
    • (1996) Phys. Lett. A , vol.223 , pp. 1
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 15
    • 0001393005 scopus 로고
    • Isometries of operator algebras
    • R. V. Kadison, Isometries of operator algebras, Annals of Math 54, 325 (1951).
    • (1951) Annals of Math. , vol.54 , pp. 325
    • Kadison, R.V.1
  • 16
    • 4043107730 scopus 로고    scopus 로고
    • A class of linear positive maps in matrix algebras
    • A. Kossakowski, A class of linear positive maps in matrix algebras, Open Sys. Information Dyn. 10, 213 (2003).
    • (2003) Open Sys. Information Dyn. , vol.10 , pp. 213
    • Kossakowski, A.1
  • 17
    • 0038722043 scopus 로고    scopus 로고
    • On quantum correlations for stochastic dynamics of XXZ type
    • S. Kozieł, A. W. Majewski, On quantum correlations for stochastic dynamics of XXZ type, Acta Phys. Polonica B 34, 3731 (2003).
    • (2003) Acta Phys. Polonica B , vol.34 , pp. 3731
    • Kozieł, S.1    Majewski, A.W.2
  • 18
    • 31244434323 scopus 로고    scopus 로고
    • Evolution of quantum correlations for jump-type quantum stochastic dynamics
    • S. Kozieł, A. W. Majewski, Evolution of quantum correlations for jump-type quantum stochastic dynamics, Acta Phys. Polonica B 33, 1103 (2002).
    • (2002) Acta Phys. Polonica B , vol.33 , pp. 1103
    • Kozieł, S.1    Majewski, A.W.2
  • 20
    • 84972545497 scopus 로고
    • On the isometries of certain function spaces
    • J. Lamperti, On the isometries of certain function spaces, Pacific J. Math. 8, 459 (1958).
    • (1958) Pacific J. Math. , vol.8 , pp. 459
    • Lamperti, J.1
  • 22
    • 72249114600 scopus 로고    scopus 로고
    • On entanglement of states and quantum correlations
    • J. M. Combes, J. Cuntz, G. A. Elliott, G. Nenciu, H. Siedentop, S. Stratila, eds., Theta, Bucharest, LANL preprint, math-phys/0202030
    • A. W. Majewski, On entanglement of states and quantum correlations, in: Operator algebras and Mathematical Physics, J. M. Combes, J. Cuntz, G. A. Elliott, G. Nenciu, H. Siedentop, S. Stratila, eds., Theta, Bucharest, 2003 LANL preprint, math-phys/0202030.
    • (2003) Operator Algebras and Mathematical Physics
    • Majewski, A.W.1
  • 24
    • 0037059725 scopus 로고    scopus 로고
    • On entanglement of formation
    • A. W. Majewski, On entanglement of formation, J. Phys. A; Math. Gen. 35, 123 (2002).
    • (2002) J. Phys. A; Math. Gen. , vol.35 , pp. 123
    • Majewski, A.W.1
  • 26
    • 0003300735 scopus 로고
    • Quantum stochastic dynamics I: Spin systems on a lattice
    • Paper 2
    • A. W. Majewski, B. Zegarliński, Quantum Stochastic Dynamics I: Spin Systems on a Lattice, Math. Phys. Electronic J. 1, Paper 2 (1995).
    • (1995) Math. Phys. Electronic J. , vol.1
    • Majewski, A.W.1    Zegarliński, B.2
  • 30
    • 4043148237 scopus 로고    scopus 로고
    • On quantum stochastic dynamics for quantum spin systems on a lattice; Low temperature problem
    • S. Miracle-Solé, J. Ruiz, V. Zagrebnov, eds., World Scientific
    • A. W. Majewski, B. Zegarliński, On quantum stochastic dynamics for quantum spin systems on a lattice; Low temperature problem, in: Mathematical Results in Statistical Mechanics, S. Miracle-Solé, J. Ruiz, V. Zagrebnov, eds., World Scientific, 1999.
    • (1999) Mathematical Results in Statistical Mechanics
    • Majewski, A.W.1    Zegarliński, B.2
  • 32
    • 0002161524 scopus 로고
    • ¿From deterministic dynamics to probabilistic descriptions
    • B. Misra, I. Prigogine and M. Courbage, ¿From deterministic dynamics to probabilistic descriptions, Physica 98 A, 1 (1979).
    • (1979) Physica , vol.98 A , pp. 1
    • Misra, B.1    Prigogine, I.2    Courbage, M.3
  • 33
    • 84968806755 scopus 로고
    • Characterization of conditional expectation as a transformation on function spaces
    • S-T. C. Moy, Characterization of conditional expectation as a transformation on function spaces, Pacific J. Math. 4, 47 (1954).
    • (1954) Pacific J. Math. , vol.4 , pp. 47
    • Moy, S.-T.C.1
  • 34
    • 0037574296 scopus 로고    scopus 로고
    • Separability criterion for density matrices
    • A. Peres, Separability criterion for density matrices, Phys. Rev. Lett 77, 1413 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1413
    • Peres, A.1
  • 35
    • 84968483087 scopus 로고
    • Applications of the theory of Boolean rings to general topology
    • M. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41, 375 (1937).
    • (1937) Trans. Amer. Math. Soc. , vol.41 , pp. 375
    • Stone, M.1
  • 36
    • 0000896652 scopus 로고
    • Positive linear maps of operator algebras
    • E. Størmer, Positive linear maps of operator algebras, Acta Math. 110, 233 (1963).
    • (1963) Acta Math. , vol.110 , pp. 233
    • Størmer, E.1
  • 39
    • 2542445630 scopus 로고
    • Ordered normed tensor products
    • (Advanced Study Institute held in Marburg) A. Hartkämper and H. Neumann, eds., Lecture Notes in Physics, Springer Verlag
    • G. Wittstock, Ordered Normed Tensor Products, in: Foundations of Quantum Mechanics and Ordered Linear Spaces, (Advanced Study Institute held in Marburg) A. Hartkämper and H. Neumann, eds., Lecture Notes in Physics 29, Springer Verlag 1974.
    • (1974) Foundations of Quantum Mechanics and Ordered Linear Spaces , vol.29
    • Wittstock, G.1
  • 40
    • 0000260392 scopus 로고
    • Positive maps of low dimensional matrix algebras
    • S. L. Woronowicz, Positive maps of low dimensional matrix algebras, Rep. Math. Phys. 10, 165 (1976).
    • (1976) Rep. Math. Phys. , vol.10 , pp. 165
    • Woronowicz, S.L.1


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