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Volumn 413, Issue 1, 2006, Pages 155-176

A norm compression inequality for block partitioned positive semidefinite matrices

Author keywords

Block matrix; Matrix inequalities; Positive semidefinite matrix; Schatten norm

Indexed keywords

NUMBER THEORY; NUMERICAL ANALYSIS;

EID: 29344466882     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.08.017     Document Type: Article
Times cited : (29)

References (21)
  • 1
    • 2442586601 scopus 로고    scopus 로고
    • On the multiplicativity conjecture for quantum channels
    • G.G. Amosov, and A.S. Holevo On the multiplicativity conjecture for quantum channels Theor. Probab. Appl. 47 2002 143 146 Available from: .
    • (2002) Theor. Probab. Appl. , vol.47 , pp. 143-146
    • Amosov, G.G.1    Holevo, A.S.2
  • 2
    • 0001119866 scopus 로고    scopus 로고
    • On some additivity problems in quantum information theory
    • G.G. Amosov, A.S. Holevo, and R.F. Werner On some additivity problems in quantum information theory Problems Inform. Transmiss. 36 2000 25 34 Available from: .
    • (2000) Problems Inform. Transmiss. , vol.36 , pp. 25-34
    • Amosov, G.G.1    Holevo, A.S.2    Werner, R.F.3
  • 3
    • 0001079995 scopus 로고
    • Concavity of certain maps on positive definite matrices and applications to hadamard products
    • T. Ando Concavity of certain maps on positive definite matrices and applications to hadamard products Linear Algebra Appl. 26 1979 203 241
    • (1979) Linear Algebra Appl. , vol.26 , pp. 203-241
    • Ando, T.1
  • 4
    • 2442592867 scopus 로고
    • Log majorization and complementary Golden-Thompson inequalities
    • T. Ando, and F. Hiai Log majorization and complementary Golden-Thompson inequalities Linear Algebra Appl. 197,198 1994 113 131
    • (1994) Linear Algebra Appl. , vol.197-198 , pp. 113-131
    • Ando, T.1    Hiai, F.2
  • 6
    • 2442477562 scopus 로고    scopus 로고
    • Strong superadditivity of the entanglement of formation
    • K.M.R. Audenaert, and S.L. Braunstein Strong superadditivity of the entanglement of formation Commun. Math. Phys. 246 3 2004 443 452
    • (2004) Commun. Math. Phys. , vol.246 , Issue.3 , pp. 443-452
    • Audenaert, K.M.R.1    Braunstein, S.L.2
  • 8
    • 0001232734 scopus 로고
    • Norm inequalities for partitioned operators and an application
    • R. Bhatia, and F. Kittaneh Norm inequalities for partitioned operators and an application Math. Ann. 287 1990 719 726
    • (1990) Math. Ann. , vol.287 , pp. 719-726
    • Bhatia, R.1    Kittaneh, F.2
  • 9
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
    • M.-D. Choi Completely positive linear maps on complex matrices Linear Algebra Appl. 10 1975 285 290
    • (1975) Linear Algebra Appl. , vol.10 , pp. 285-290
    • Choi, M.-D.1
  • 10
    • 84968476176 scopus 로고
    • 1/q ≥ B(p + 2r)/q for r ≥ 0, p>0, q ≥ 1 with (1 + 2r)q ≥ p + 2r
    • 1/q ≥ B(p + 2r)/q for r ≥ 0, p>0, q ≥ 1 with (1 + 2r)q ≥ p + 2r Proc. Amer. Math. Soc. 101 1987 85 88
    • (1987) Proc. Amer. Math. Soc. , vol.101 , pp. 85-88
    • Furuta, T.1
  • 12
    • 38249018439 scopus 로고
    • Cauchy-Schwarz inequalities associated with positive semidefinite matrices
    • R.A. Horn, and R. Mathias Cauchy-Schwarz inequalities associated with positive semidefinite matrices Linear Algebra Appl. 142 1990 63 82
    • (1990) Linear Algebra Appl. , vol.142 , pp. 63-82
    • Horn, R.A.1    Mathias, R.2
  • 13
    • 0344551997 scopus 로고    scopus 로고
    • Inequalities for trace norms of 2 × 2 block matrices
    • Ch. King Inequalities for trace norms of 2 × 2 block matrices Commun. Math. Phys. 242 2003 531 545
    • (2003) Commun. Math. Phys. , vol.242 , pp. 531-545
    • King, Ch.1
  • 14
    • 0035981856 scopus 로고    scopus 로고
    • p norms for some product channels
    • p norms for some product channels J. Math. Phys. 43 2002 1247 1260
    • (2002) J. Math. Phys. , vol.43 , pp. 1247-1260
    • King, Ch.1
  • 15
    • 0000472839 scopus 로고
    • Means of positive linear operators
    • F. Kubo, and T. Ando Means of positive linear operators Math. Ann. 246 1980 205 224
    • (1980) Math. Ann. , vol.246 , pp. 205-224
    • Kubo, F.1    Ando, T.2
  • 17
    • 0001438007 scopus 로고
    • Functional calculus for sesquilinear forms and the purification map
    • W. Pusz, and S.L. Woronowicz Functional calculus for sesquilinear forms and the purification map Rep. Math. Phys. 8 1975 159 170
    • (1975) Rep. Math. Phys. , vol.8 , pp. 159-170
    • Pusz, W.1    Woronowicz, S.L.2
  • 18
    • 2442437901 scopus 로고    scopus 로고
    • Equivalence of additivity questions in quantum information theory
    • P.W. Shor Equivalence of additivity questions in quantum information theory Commun. Math. Phys. 246 3 2004 453 472
    • (2004) Commun. Math. Phys. , vol.246 , Issue.3 , pp. 453-472
    • Shor, P.W.1
  • 20
    • 14844321925 scopus 로고    scopus 로고
    • Notes on super-operator norms induced by Schatten norms
    • J. Watrous Notes on super-operator norms induced by Schatten norms Quant. Inf. Comp. 5 2005 58 68
    • (2005) Quant. Inf. Comp. , vol.5 , pp. 58-68
    • Watrous, J.1
  • 21
    • 0035981725 scopus 로고    scopus 로고
    • Counterexample to an additivity conjecture for output purity of quantum channels
    • R.F. Werner, and A.S. Holevo Counterexample to an additivity conjecture for output purity of quantum channels J. Math. Phys. 43 9 2002 4353 4357
    • (2002) J. Math. Phys. , vol.43 , Issue.9 , pp. 4353-4357
    • Werner, R.F.1    Holevo, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.