메뉴 건너뛰기




Volumn 289, Issue 3, 2009, Pages 1057-1086

Unital quantum channels - Convex structure and revivals of Birkhoff's theorem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67650649520     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0824-2     Document Type: Article
Times cited : (168)

References (28)
  • 3
    • 0035981679 scopus 로고    scopus 로고
    • Additivity for unital qubit channels
    • C. King 2002 Additivity for unital qubit channels J. Math. Phys. 43 4641 4653
    • (2002) J. Math. Phys. , vol.43 , pp. 4641-4653
    • King, C.1
  • 4
    • 34249740634 scopus 로고    scopus 로고
    • Simplification of additivity conjecture in quantum information theory
    • DOI 10.1007/s11128-007-0051-8
    • M. Fukuda 2007 Simplification of additivity conjecture in quantum information theory Quant. Inf. Comp. 6 179 186 (Pubitemid 46828872)
    • (2007) Quantum Information Processing , vol.6 , Issue.3 , pp. 179-186
    • Fukuda, M.1
  • 5
    • 34547605048 scopus 로고    scopus 로고
    • Simplifying additivity problems using direct sum constructions
    • M. Fukuda M.M. Wolf 2007 Simplifying additivity problems using direct sum constructions J. Math. Phys. 48 2101
    • (2007) J. Math. Phys. , vol.48 , pp. 2101
    • Fukuda, M.1    Wolf, M.M.2
  • 6
    • 55349112175 scopus 로고    scopus 로고
    • Additivity and distinguishability of random unitary channels
    • B. Rosgen 2008 Additivity and distinguishability of random unitary channels J. Math. Phys. 49 102107
    • (2008) J. Math. Phys. , vol.49 , pp. 102107
    • Rosgen, B.1
  • 7
    • 45749122617 scopus 로고
    • Bistochastic operators on finite-dimensional von-Neumann algebras
    • S.L. Tregub 1986 Bistochastic operators on finite-dimensional von-Neumann algebras Soviet Math. 30 105
    • (1986) Soviet Math. , vol.30 , pp. 105
    • Tregub, S.L.1
  • 9
    • 1542365806 scopus 로고
    • On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras
    • L.J. Landau R.F. Streater 1993 On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras Lin. Alg. Appl. 193 107 127
    • (1993) Lin. Alg. Appl. , vol.193 , pp. 107-127
    • Landau, L.J.1    Streater, R.F.2
  • 10
    • 0001336132 scopus 로고
    • Three observations on linear algebra
    • G. Birkhoff 1946 Three observations on linear algebra Univ. Nac. Tucuan. Revista A 5 147 151
    • (1946) Univ. Nac. Tucuan. Revista A , vol.5 , pp. 147-151
    • Birkhoff, G.1
  • 12
    • 28844438788 scopus 로고    scopus 로고
    • Entanglement of assistance and multipartite state distillation
    • J.A. Smolin F. Verstraete A. Winter 2005 Entanglement of assistance and multipartite state distillation Phys. Rev. A 72 052317
    • (2005) Phys. Rev. A , vol.72 , pp. 052317
    • Smolin, J.A.1    Verstraete, F.2    Winter, A.3
  • 13
    • 35448975107 scopus 로고
    • Linear transformations which preserve trace and positive semidefiniteness of operators
    • A. Jamiolkowski 1972 Linear transformations which preserve trace and positive semidefiniteness of operators Rep. Math. Phys. 3 275 278
    • (1972) Rep. Math. Phys. , vol.3 , pp. 275-278
    • Jamiolkowski, A.1
  • 15
    • 22544443063 scopus 로고    scopus 로고
    • On extremal quantum states of composite systems with fixed marginals
    • DOI 10.1063/1.1776642
    • O. Rudolph 2004 On extremal quantum states of composite systems with fixed marginals J. Math. Phys. 45 11 4035 4041 (Pubitemid 41015860)
    • (2004) Journal of Mathematical Physics , vol.45 , Issue.11 , pp. 4035-4041
    • Rudolph, O.1
  • 18
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
    • M.-D. Choi 1975 Completely positive linear maps on complex matrices Lin. Alg. Appl. 10 285 290
    • (1975) Lin. Alg. Appl. , vol.10 , pp. 285-290
    • Choi, M.-D.1
  • 19
    • 33750503156 scopus 로고    scopus 로고
    • On the minimum number of unitaries needed to describe a random-unitary channel
    • DOI 10.1016/j.physleta.2006.08.038, PII S0375960106012898
    • F. Buscemi 2006 On the minimal number of unitaries needed to describe a random-unitary channel Phys. Lett. A 360 256 258 (Pubitemid 44660077)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.360 , Issue.2 , pp. 256-258
    • Buscemi, F.1
  • 21
    • 84961347834 scopus 로고    scopus 로고
    • Entanglement of assistance
    • Proc. Quantum Computing and Quantum Communications Palm Springs, Berlin-Heidelberg-New York: Springer
    • DiVincenzo, D.P., Fuchs, C.A., Mabuchi, H., Smolin, J.A., Thapliyal, A.V., Uhlmann, A.: Entanglement of assistance. In: Proc. Quantum Computing and Quantum Communications, First NASA Intl. Conf., Palm Springs, Berlin-Heidelberg-New York: Springer, 1999, pp. 247-257
    • (1999) First NASA Intl. Conf. , pp. 247-257
    • Divincenzo, D.P.1    Fuchs, C.A.2    Mabuchi, H.3    Smolin, J.A.4    Thapliyal, A.V.5    Uhlmann, A.6
  • 22
    • 0036509287 scopus 로고    scopus 로고
    • Computable measure of entanglement
    • G. Vidal R.F. Werner 2002 Computable measure of entanglement Phys. Rev. A 65 032314
    • (2002) Phys. Rev. A , vol.65 , pp. 032314
    • Vidal, G.1    Werner, R.F.2
  • 23
    • 0035981725 scopus 로고    scopus 로고
    • Counterexample to an additivity conjecture for output purity of quantum channels
    • R.F. Werner A.S. Holevo 2002 Counterexample to an additivity conjecture for output purity of quantum channels J. Math. Phys. 43 4353 4357
    • (2002) J. Math. Phys. , vol.43 , pp. 4353-4357
    • Werner, R.F.1    Holevo, A.S.2
  • 24
    • 0035679286 scopus 로고    scopus 로고
    • Entanglement measures under symmetry
    • K.G.H. Vollbrecht R.F. Werner 2001 Entanglement measures under symmetry Phys. Rev. A 64 062307
    • (2001) Phys. Rev. A , vol.64 , pp. 062307
    • Vollbrecht, K.G.H.1    Werner, R.F.2
  • 25
    • 33846696655 scopus 로고    scopus 로고
    • Some observations on the Youla form and conjugate-normal matrices
    • H. Faßbender Kh.D. Ikramov 2006 Some observations on the Youla form and conjugate-normal matrices Lin. Alg. Appl. 422 29 38
    • (2006) Lin. Alg. Appl. , vol.422 , pp. 29-38
    • Faßbender, H.1    Ikramov, Kh.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.