Extremal quantum states in coupled systems

K. R. Parthasarathy

Annales de l'I.H.P. Probabilités et statistiques (2005)

  • Volume: 41, Issue: 3, page 257-268
  • ISSN: 0246-0203

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Parthasarathy, K. R.. "Extremal quantum states in coupled systems." Annales de l'I.H.P. Probabilités et statistiques 41.3 (2005): 257-268. <http://eudml.org/doc/77844>.

@article{Parthasarathy2005,
author = {Parthasarathy, K. R.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Coupled quantum systems; Marginal states; Extreme points; Doubly stochastic matrices; Separable and nonseparable states},
language = {eng},
number = {3},
pages = {257-268},
publisher = {Elsevier},
title = {Extremal quantum states in coupled systems},
url = {http://eudml.org/doc/77844},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Parthasarathy, K. R.
TI - Extremal quantum states in coupled systems
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2005
PB - Elsevier
VL - 41
IS - 3
SP - 257
EP - 268
LA - eng
KW - Coupled quantum systems; Marginal states; Extreme points; Doubly stochastic matrices; Separable and nonseparable states
UR - http://eudml.org/doc/77844
ER -

References

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  1. [1] R.B. Bapat, T.E.S. Raghavan, Nonnegative Matrices and Applications, Encyclopaedia of Mathematics and its Applications, vol. 64, Cambridge University Press, 1997. Zbl0879.15015MR1449393
  2. [2] G. Birkhoff, Three observations on linear algebra, Univ. Nac. Tucumán Rev. Ser. A5 (1946) 147-151. Zbl0060.07906MR20547
  3. [3] J.P.R. Christensen, J. Vesterstrom, A note on extreme positive definite matrices, Math. Ann.244 (1979) 65-68. Zbl0396.15011MR550062
  4. [4] R. Grome, S. Pierce, W. Watkins, Extremal correlation matrices, Linear Algebra Appl.134 (1990) 63-70. Zbl0703.15028MR1060010
  5. [5] M. Horodecki, P. Horodecki, R. Horodecki, Separability of mixed states: necessary and sufficient conditions, Phys. Lett. A223 (1–2) (1996) 1-8. Zbl1037.81501MR1421501
  6. [6] R. Loewy, Extreme points of a convex subset of the cone of positive semidefinite matrices, Math. Ann.253 (1980) 227-232. Zbl0426.46008MR597831
  7. [7] K.R. Parthasarathy, On extremal correlations, J. Statist Plann. Inference103 (2002) 73-80. Zbl1005.62061MR1896990

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