메뉴 건너뛰기




Volumn 24, Issue 1, 2013, Pages

Decomposition and partial trace of positive matrices with hermitian blocks

Author keywords

norm inequalities; partial trace; Positive definite matrices; separable state

Indexed keywords


EID: 84874136172     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X13500109     Document Type: Article
Times cited : (18)

References (14)
  • 1
    • 77955241465 scopus 로고    scopus 로고
    • Unique decompositions, faces, and automorphisms of separable states
    • E. Alfsen and F. Shultz, Unique decompositions, faces, and automorphisms of separable states, J. Math. Phys. 51 (2010) 052201.
    • (2010) J. Math. Phys , vol.51 , pp. 052201
    • Alfsen, E.1    Shultz, F.2
  • 3
    • 80052101887 scopus 로고    scopus 로고
    • Norm and anti-norm inequalities for positive semi-definite matrices
    • J.-C. Bourin and F. Hiai, Norm and anti-norm inequalities for positive semi-definite matrices, Internat. J. Math. 22 (2011) 1121-1138.
    • (2011) Internat. J. Math , vol.22 , pp. 1121-1138
    • Bourin, J.-C.1    Hiai, F.2
  • 4
    • 84869471130 scopus 로고    scopus 로고
    • Unitary orbits of Hermitian operators with convex and concave functions
    • J.-C. Bourin and E.-Y. Lee, Unitary orbits of Hermitian operators with convex and concave functions, Bull. London Math. Soc. 44 (2012) 1085-1102.
    • (2012) Bull. London Math. Soc , vol.44 , pp. 1085-1102
    • Bourin, J.-C.1    Lee, E.-Y.2
  • 5
    • 84863986061 scopus 로고    scopus 로고
    • On a decomposition lemma for positive semidefinite block-matrices
    • J.-C. Bourin, E.-Y. Lee and M. Lin, On a decomposition lemma for positive semidefinite block-matrices, Linear Algebra Appl. 437 (2012) 1906-1912.
    • (2012) Linear Algebra Appl , vol.437 , pp. 1906-1912
    • Bourin, J.-C.1    Lee, E.-Y.2    Lin, M.3
  • 6
    • 84872101227 scopus 로고    scopus 로고
    • Positive matrices partitioned into a small number of hermitian blocks
    • J.-C. Bourin, E.-Y. Lee and M. Lin, Positive matrices partitioned into a small number of Hermitian blocks, Linear Algebra Appl. 438 (2013) 2591-2598.
    • (2013) Linear Algebra Appl , vol.438 , pp. 2591-2598
    • Bourin, J.-C.1    Lee, E.-Y.2    Lin, M.3
  • 7
    • 0141752800 scopus 로고    scopus 로고
    • A matrix realignment method for recognizing entanglement
    • K. Chen and L.-A. Wu, A matrix realignment method for recognizing entanglement, Quantum Inf. Comput. 3 (2003) 193-202. (Pubitemid 37189502)
    • (2003) Quantum Information and Computation , vol.3 , Issue.3 , pp. 193-202
    • Chen, K.1    Wu, L.-A.2
  • 8
    • 0000082109 scopus 로고
    • Applications of Grassmann's extensive algebra
    • W. K. Clifford, Applications of Grassmann's extensive algebra, Amer. J. Math. 1 (1878) 350-358.
    • (1878) Amer. J. Math , vol.1 , pp. 350-358
    • Clifford, W.K.1
  • 9
    • 33749149457 scopus 로고    scopus 로고
    • Introduction to representations of the canonical commutation and anticommutation relations
    • Springer
    • J. Derezínski, Introduction to Representations of the Canonical Commutation and Anticommutation Relations, Lecture Notes in Physics, Vol. 695 (Springer, 2006), pp. 65-145.
    • (2006) Lecture Notes in Physics , vol.695 , pp. 65-145
    • Derezínski, J.1
  • 10
    • 84874430644 scopus 로고    scopus 로고
    • Majorization criterion for distillability of a bipartite quantum system
    • T. Hiroshima, Majorization criterion for distillability of a bipartite quantum system, Phys. Rev. Lett. 86 (2003) 5184-5187.
    • (2003) Phys. Rev. Lett , vol.86 , pp. 5184-5187
    • Hiroshima, T.1
  • 11
    • 0042376719 scopus 로고    scopus 로고
    • Separability of mixed states: Necessary and sufficient conditions
    • M. Horodecki, P. Horodecki and R. Horodecki, Separability of mixed states: Necessary and sufficient conditions, Phys. Lett. A 223 (1996) l-8.
    • (1996) Phys. Lett. A , vol.223
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 12
    • 0035963009 scopus 로고    scopus 로고
    • Separable states are more disordered globally than locally
    • DOI 10.1103/PhysRevLett.86.5184
    • M. A. Nielsen and J. Kempe, Separable states are more disordered globally than locally, Phys. Rev. Lett. 86 (2001) 5184-5187. (Pubitemid 32527769)
    • (2001) Physical Review Letters , vol.86 , Issue.22 , pp. 5184-5187
    • Nielsen, M.A.1    Kempe, J.2
  • 14
    • 68249148066 scopus 로고
    • The singular values of a sum of completely continuous operators
    • Consultants Bureau
    • S. Ju. Rotfel'd, The singular values of a sum of completely continuous operators, in Topics in Mathematical Physics, Vol. 3 (Consultants Bureau, 1969), pp. 73-78.
    • (1969) Topics in Mathematical Physics , vol.3 , pp. 73-78
    • Rotfel'D, S.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.