Fetching the paper…
Reading the bibliography…
From the physical point of view entanglement witnesses define a universal tool for analysis and classification of quantum entangled states.
J. Schwinger, Unitary operator bases
1960
Earlier work this paper cites.
E. Størmer, Positive linear maps of operator algebras
1963
Earlier work this paper cites.
J. de Pillis, Linear transformations which preserve hermitian and positive semidefinite operators
1967
Earlier work this paper cites.
J. F. Clauser, M.A. Horne, A. Shimony, R.A. Holt Proposed experiment to test local hidden variables theories
1969
Earlier work this paper cites.
R. T. Rockafellar, Convex Analysis
1970
Earlier work this paper cites.
M.-D. Choi, Positive linear maps on C ∗ C^{*} -algebras
1972
Earlier work this paper cites.
A. Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators
1972
Earlier work this paper cites.
M.-D. Choi, Completely Positive Linear Maps on Complex Matrices
1975
Earlier work this paper cites.
S. L. Woronowicz, Positive maps of low dimensional matrix algebras
1976
Earlier work this paper cites.
S. L. Woronowicz, Nonextedible positive maps
1976
Earlier work this paper cites.
M.-D. Choi and T.-T. Lam, Extremal positive semidefinite forms
1977
Earlier work this paper cites.
M.-D. Choi, Some assorted inequalities for positive linear maps on C ∗ C^{*} -algebras
1982
Earlier work this paper cites.
A. G. Robertson, Automorphisims of spin factors and the decomposition of positive maps
1983
Earlier work this paper cites.
K. Takasaki and J. Tomiyama, Mathematische Zeitschrift 184
1983
Earlier work this paper cites.
K. Tanahashi and J. Tomiyama, Indecomposable positive maps in matrix algebras
1988
Earlier work this paper cites.
R. F. Werner, Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
1989
Earlier work this paper cites.
W. K. Wootters and B. D. Fields, Optimal State-Determination by Mutually Unbiased Measurements
1989
Earlier work this paper cites.
H. Osaka, Indecomposable positive maps in low dimensional matrix algebras
1991
Earlier work this paper cites.
S. J. Cho, S.-H. Kye, and S. G. Lee, Generalized Choi maps in 3-dimensional matrix algebras
1992
Earlier work this paper cites.
R. Haag, Local Quantum Physics: Fields, Particles, Algebras
1992
Earlier work this paper cites.
H. Osaka, A Class of Extremal Positive Maps in 3 × 3 3\times 3 Matrix Algebras
1992
Earlier work this paper cites.
H. Osaka, A series of absolutely indecomposable positive maps in matrix algebras
1993
Earlier work this paper cites.
S. Yamagami, Cyclic inequalities
1993
Earlier work this paper cites.
A. Peres, Higher order Schmidt decompositions
1995
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed states: necessary and sufficient condition
1996
Earlier work this paper cites.
A. Peres, Separability Criterion for Density Matrices
1996
Earlier work this paper cites.
P. Horodecki, Separability criterion and inseparable mixed states with positive partial transposition
1997
Earlier work this paper cites.
K.-C. Ha, Atomic positive linear maps in matrix algebras
1998
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenco, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, Unextendible product basis and bound entanglement
1999
Earlier work this paper cites.
A. Acin, A. Andrianov, L. Costa, E. Jane, J. I. Latorre, and R. Tarrach, Generalized Schmidt decomposition and classification of three-quantum-bit states
2000
Earlier work this paper cites.
M.-H. Eom and S.-H. Kye, Duality for positive maps in matrix algebras
2000
Earlier work this paper cites.
P. Horodecki and B. Terhal, A Schmidt number for density matrices
2000
Earlier work this paper cites.
M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Optimization of entanglement witnesses
2000
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information
2000
Earlier work this paper cites.
A. K. Pati, Existence of the Schmidt decomposition for tripartite systems
2000
Earlier work this paper cites.
B. M. Terhal, Bell inequalities and separability criterion
2000
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and R. Horodecki, Separability of n n -particle mixed states: necessary and sufficient conditions in terms of linear maps
2001
Earlier work this paper cites.
M. Lewenstein, B. Kraus, P. Horodecki, and J. I. Cirac, Characterization of separable states and entanglement witnesses
2001
Earlier work this paper cites.
A. Sanpera, D. Bruss, and M. Lewenstein, Schmidt number witnesses and bound entanglement
2001
Earlier work this paper cites.
B. M. Terhal, A family of indecomposable positive linear maps based on entangled quantum states
2001
Earlier work this paper cites.
R. A. Bertlmann, H. Narnhofer, and W. Thirring, A Geometric Picture of Entanglement and Bell Inequalities
2002
Earlier work this paper cites.
A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Distinguishing separable and entangled states
2002
Earlier work this paper cites.
K. Chen and L.-A. Wu, A matrix realinment method for recognizing entanglement
2003
Earlier work this paper cites.
D. P. DiVincenco, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, Unextendible product basis, uncompletable product basis and and bound entanglement
2003
Cited alongside, same era.
K.-C. Ha, A class of atomic positive linear maps in matrix algebras
2003
Cited alongside, same era.
A. Kossakowski, A Class of Linear Positive Maps in Matrix Algebras
2003
Cited alongside, same era.
V. Paulsen, Completely Bounded Maps and Operator Algebras
2003
Cited alongside, same era.
A. O. Pittenger and M. H. Rubin, The geometry of entanglement witnesses and local detection of entanglement
2003
Cited alongside, same era.
P. Arrighi and Ch. Patricot, On Quantum Operations as Quantum States
2004
Cited alongside, same era.
Ł. Skowronek, E. Størmer, and K. Życzkowski, Cones of positive maps and their duality relations
2009
Later among the works it cites.
J. Sperling and W. Vogel, Necessary and sufficient conditions for bipartite entanglement
2009
Later among the works it cites.
E. Alfsen and F. Shultz, Unique decompositions, faces, and automorphisms of separable states
2010
Later among the works it cites.
D. Chruściński, A. Kossakowski, T. Matsuoka, K. Młodawski, A class of Bell diagonal states and entanglement witnesses
2010
Later among the works it cites.
D. Chruściński and J. Pytel, Constructing optimal entanglement witnesses II: witnessing entanglement in 4 N × 4 N 4N\times 4N systems
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
F. Benatti, R. Floreanini, and M. Piani, Non-decomposable quantum dynamical semigroups and bound entangled states
2004
Cited alongside, same era.
A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, A complete family of separability criteria
2004
Cited alongside, same era.
K.-C. Ha and S.-H. Kye, Construction of entangled states with positive partial transposes based on indecomposable positive linear maps
2004
Cited alongside, same era.
F. Hulpke, D. Bruss, M. Lewenstein, and A. Sanpera, Simplifying Schmidt number witnesses via higher-dimensional embeddings
2004
Cited alongside, same era.
A. Bertlmann, K. Durstberger, B. C. Hiesmayr, P. Krammer, Optimal Entanglement Witnesses for Qubits and Qutrits
2005
Cited alongside, same era.
P. Hyllus, O. Gühne, D. Bruss, and M. Lewenstein, Relations between Entanglement Witnesses and Bell Inequalities
2005
Cited alongside, same era.
2011
Later among the works it cites.
R. Augusiak, J. Tura, and M. Lewenstein, A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces
2011
Later among the works it cites.
R. Augusiak, G. Sarbicki, and M. Lewenstein, Optimal decomposable witnesses without the spanning property
2011
Later among the works it cites.
R. Augusiak, J. Tura, and M. Lewenstein, A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces
2011
Later among the works it cites.
D. Chruściński and J. Pytel, Optimal entanglement witnesses from generalized reduction and Robertson maps
2011
Later among the works it cites.
D. Chruściński and F. A. Wudarski, Geometry of entanglement witnesses for two qutrits
2011
Later among the works it cites.
K-C. Ha and S-H. Kye, Entanglement witnesses arising from exposed positive linear maps
2011
Later among the works it cites.
K-C. Ha and S-H. Kye, One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps
2011
Later among the works it cites.
A. S. Holevo, On the Choi-Jamiolkowski Correspondence in Infinite Dimensions
2011
Later among the works it cites.
R. Sengupta and Arvind, Extremal extensions of entanglement witnesses: Finding new bound entangled states
2011
Later among the works it cites.
J. Sperling and W. Vogel, Determination of the Schmidt number
2011
Later among the works it cites.
F. Buscemi, All Entangled Quantum States Are Nonlocal
2012
Later among the works it cites.
D. Chruściński and G. Sarbicki, Exposed positive maps: a sufficient condition
2012
Later among the works it cites.
D. Chruściński and Filip A. Wudarski, Geometry of entanglement witnesses parameterized by SO(3) group
2012
Later among the works it cites.
D. Chruściński and G. Sarbicki, Exposed positive maps in M 4 ( C ) M_{4}(C)
2012
Later among the works it cites.
K.-C. Ha, Optimal witnesses detecting positive-partial-transpose entangled states in ℂ n ⊗ ℂ n \mathbb{C}^{n}\otimes\mathbb{C}^{n}
2012
Later among the works it cites.
K-C. Ha and S-H. Kye, Optimality for indecomposable entanglement witnesses
2012
Later among the works it cites.
K.-C. Ha and S.-H. Kye, The structural physical approximations and optimal entanglement witnesses
2012
Later among the works it cites.
K.-C. Ha and H. Yu, Optimal indecomposable witnesses without extremality or the spanning property
2012
Later among the works it cites.
S.-H. Kye Necessary conditions for optimality of decomposable entanglement witnesses
2012
Later among the works it cites.
S.-H. Kye, H. Osaka, Classification of bi-qutrit positive partial transpose entangled edge states by their ranks
2012
Later among the works it cites.
W. A. Majewski, On the structure of positive maps; finite dimensional case
2012
Later among the works it cites.
X. Qi and J. Hou, Characterization of optimal entanglement witnesses
2012
Later among the works it cites.
Ł. Skowronek and E. Størmer, Choi matrices, norms and entanglement associated with positive maps on matrix algebras
2012
Later among the works it cites.
Ch. Spengler, M. Huber, S. Brierley, T. Adaktylos, B. C. Hiesmayr, Entanglement detection via mutually unbiased bases
2012
Later among the works it cites.
C. Branciard, D. Rosset, Y.-C. Liang, and N. Gisin, Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
2013
Later among the works it cites.
D. Chruściński and G. Sarbicki, Optimal entanglement witnesses for two qutrits
2013
Later among the works it cites.
M. Jiang, S. Luo, and S. Fu Channel-state duality
2013
Later among the works it cites.
S.-H. Kye, Facial structures for various notions of positivity and applications to the theory of entanglement
2013
Later among the works it cites.
X. Li and W. Wu, A class of generalized positive linear maps on matrix algebras
2013
Later among the works it cites.
W. A. Majewski and T. Tylec, On the structure of positive maps. II. Low dimensional matrix algebras
2013
Later among the works it cites.
G. Sarbicki and D. Chruściński, A class of exposed indecomposable positive maps
2013
Later among the works it cites.
R. Sengupta and Arvind, Extremal extensions of entanglement witnesses and their connection with unextendable product bases
2013
Later among the works it cites.
J. Sperling and W. Vogel, Multipartite Entanglement Witnesses
2013
Later among the works it cites.
E. Størmer, Positive linear maps of operator algebras
2013
Later among the works it cites.
B.-H. Wang and D.-Y. Long, Structural physical approximations and entanglement witnesses
2013
Later among the works it cites.
J. P. Zwolak and D. Chruściński, New tools for investigating positive maps in matrix algebras
2013
Later among the works it cites.