Fetching the paper…
Reading the bibliography…
The structure of cones of positive and k-positive maps acting on a finite-dimensional Hilbert space is investigated.
W. F. Stinespring, Positive functions on C ∗ C^{\ast} -algebras, Proc. Amer. Math. Soc
1955
Earlier work this paper cites.
E. C. G. Sudarshan, P. M. Mathews and J. Rau, Stochastic dynamics of quantum-mechanical systems, Phys. Rev
1961
Earlier work this paper cites.
E. Størmer, Positive linear maps of operator algebras, Acta Math
1963
Earlier work this paper cites.
J. de Pillis, Linear transformations which preserve Hermitian and positive semidefinite operators, Pacific J. Math
1967
Earlier work this paper cites.
W. Arverson, Subalgebras of C ∗ C^{\ast} -algebras, Acta Math
1969
Earlier work this paper cites.
K. Kraus, General state changes in quantum theory, Ann. Phys
1971
Earlier work this paper cites.
A. Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep. Math. Phys
1972
Earlier work this paper cites.
M.-D. Choi, Positive linear maps on C ∗ C^{\ast} -algebras, Canad. J. Math
1972
Earlier work this paper cites.
M.-D. Choi, Positive semidefinite biquadratic forms, Lin. Alg. Appl
1975
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices, Lin. Alg. Appl
1975
Earlier work this paper cites.
S. L. Woronowicz, Nonextendible positive maps, Commun. Math. Phys
1976
Earlier work this paper cites.
S. L. Woronowicz, Positive maps of low-dimensional matrix algebras, Rep. Math. Phys
1976
Earlier work this paper cites.
M.-D. Choi, Some assorted inequalities for positive linear maps on C ∗ C^{\ast} -algebras, J. Operator Theory
1980
Earlier work this paper cites.
E. Størmer, Decomposable positive maps on C ∗ C^{\ast} -algebras, Proc. Am. Math. Soc
1982
Earlier work this paper cites.
K. Takasaki and J. Tomiyama, On the geometry of positive maps in matrix algebras, Mathematische Zeit
1983
Earlier work this paper cites.
A. G. Robertson, Positive projections on C ∗ C^{\ast} -algebra and an extremal positive map, J. London Math. Soc
1985
Earlier work this paper cites.
E. Størmer, Extension of positive maps into B ( H ) B(H) , J. Funct. Anal
1986
Earlier work this paper cites.
K. Tanahashi, J. Tomiyama, Indecomposable positive maps in matrix algebras, Canad. Math. Bull
1988
Earlier work this paper cites.
H. Osaka, Indecomposable positive maps in low-dimensional matrix algebras, Lin. Alg. Appl
1991
Cited alongside, same era.
S.-J. Cho, S.-H. Kye, and S.-G. Lee, Generalized Choi map in 3 3 -dimensional matrix algebra, Lin. Alg. Appl
1992
Cited alongside, same era.
A. Peres, Separability criterion for density matrices, Phys. Rev. Lett
1996
Cited alongside, same era.
M. Horodecki, P. Horodecki and R. Horodecki, Separability of mixed states: necessary and sufficient conditions, Phys. Lett
1996
Cited alongside, same era.
R. T. Rockafellar, Convex Analysis
1997
Cited alongside, same era.
K.-C. Ha, Atomic positive linear maps in matrix algebras, Publ. RIMS Kyoto Univ
1998
Cited alongside, same era.
O. Gühne et al., Experimental detection of entanglement via witness operators and local measurements, J. Mod. Opt
2003
Later among the works it cites.
F. Benatti, R. Floreanini and M. Piani, Non-Decomposable Quantum Dynamical Semigroups and Bound Entangled States, Open Syst. Inf. Dyn
2004
Later among the works it cites.
T. Ando, Cones and norms in the tensor product of matrix spaces, Lin. Alg. Appl
2004
Later among the works it cites.
K. Życzkowski and I. Bengtsson, On duality between quantum states and quantum maps, Open Syst. Inf. Dyn
2004
Later among the works it cites.
F. Hulpke, D. Bruß, M. Lewenstein, and A. Sanpera, Simplifying Schmidt number witnesses via higher-dimensional embeddings, Quant. Inf. Comp
2004
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Horodecki, P. Horodecki and R. Horodecki, Mixed-state entanglement and distillation: is there a “bound” entanglement in nature?, Phys. Rev. Lett
1998
Cited alongside, same era.
P. Horodecki, M. Horodecki and R. Horodecki, Bound entanglement can be activated, Phys. Rev. Lett
1999
Cited alongside, same era.
M.-H. Eom and S.-H. Kye, Duality for positive linear maps in matrix algebras, Math. Scand
2000
Cited alongside, same era.
B. Terhal and P. Horodecki, A Schmidt number for density matrices Phys Rev
2000
Cited alongside, same era.
B. Terhal, Bell Inequalities and the Separability Criterion, Phys. Lett
2000
Cited alongside, same era.
M. Lewenstein, B. Kraus, J. I. Cirac and P. Horodecki, Optimization of entanglement witnesses, Phys Rev
2000
Cited alongside, same era.
M. Bourennane et al., Witnessing multipartite entanglement, Phys. Rev. Lett
2004
Later among the works it cites.
A. S. Holevo, M. E. Shirokov, R. F. Werner, Separability and Entanglement-Breaking in Infinite Dimensions, Russian Math. Surveys
2005
Later among the works it cites.
L. Clarisse, Characterization of distillability of entanglement in terms of positive maps, Phys. Rev
2005
Later among the works it cites.
M. Asorey, A. Kossakowski, G. Marmo, E. C. G. Sudarshan Relations Between Quantum Maps and Quantum States, Open Syst. Inf. Dyn
2006
Later among the works it cites.
I. Bengtsson and K. Życzkowski, Geometry of Quantum States
2006
Later among the works it cites.
D. Chruściński and A. Kossakowski, On the structure of entanglement witnesses and new class of positive indecomposable maps, Open Sys. Inf. Dyn
2007
Later among the works it cites.
K. S. Ranade, M. Ali, The Jamiołkowski isomorphism and a conceptionally simple proof for the correspondence between vectors having Schmidt number k k and k k -positive maps, Open Sys. Inf. Dyn
2007
Later among the works it cites.
E. Størmer, Separable states and positive maps, J. Funct. Anal
2008
Later among the works it cites.
R. Horodecki, P. Horodecki and M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys
2008
Later among the works it cites.
G. Sarbicki, Spectral properties of entanglement witnesses, J. Phys
2008
Later among the works it cites.
Łukasz Skowronek, Quantum Entanglement and certain problems in mathematics, Master’s Thesis, Krakow 2008, http://chaos.if.uj.edu.pl/ ~ \tilde{\,} karol/kzstudent.htm
2008
Later among the works it cites.
St. J. Szarek, E. Werner, and K. Życzkowski, Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive, J. Math. Phys
2008
Later among the works it cites.
J. K. Korbicz, M. L. Almeida, J. Bae, M. Lewenstein, A. Acin, Structural approximations to positive maps and entanglement-breaking channels, Phys. Rev
2008
Later among the works it cites.