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The absolute separability problem asks for a characterization of the quantum states $\rho \in M_m\otimes M_n$ with the property that $U\rho U^\dagger$ is separable for all unitary matrices $U$.
E. Størmer, “Positive linear maps of operator algebras,” Acta Math
1963
Earlier work this paper cites.
M.-D. Choi, “Completely positive linear maps on complex matrices,” Linear Algebra Appl
1975
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}^{*} -algebras,” J. Operator Theory
1980
Earlier work this paper cites.
R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model,” Phys. Rev. A
1989
Earlier work this paper cites.
S.-J. Cho, S.-H. Kye, and S. G. Lee, “Generalized Choi maps in 3 3 -dimensional matrix algebras,” Linear Algebra Appl
1992
Earlier work this paper cites.
Springer-Verlag, 1993
M. Grötschel, L. Lovász, and A. Schrijver, Geometric algorithms and combinatorial optimization · 1993
Earlier work this paper cites.
A. Peres, “Separability criterion for density matrices,” Phys. Rev. Lett
1996
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and R. Horodecki, “Separability of mixed states: Necessary and sufficient conditions,” Phys. Lett. A
1996
Earlier work this paper cites.
L. Vandenberghe and S. Boyd, “Semidefinite programming,” SIAM Review
1996
Earlier work this paper cites.
Springer, 1997
R. Bhatia, Matrix analysis · 1997
Earlier work this paper cites.
P. Horodecki, “Separability criterion and inseparable mixed states with positive partial transposition,” Phys. Lett. A
1997
Earlier work this paper cites.
A. Y. Kitaev, “Quantum computations: Algorithms and error correction,” Russian Math. Surveys
1997
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and R. Horodecki, “Mixed-state entanglement and distillation: Is there a “bound” entanglement in nature?,” Phys. Rev. Lett
1998
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, “Unextendible product bases and bound entanglement,” Phys. Rev. Lett
1999
Earlier work this paper cites.
M. Horodecki and P. Horodecki, “Reduction criterion of separability and limits for a class of distillation protocols,” Phys. Rev. A
1999
Earlier work this paper cites.
G. Vidal and R. Tarrach, “Robustness of entanglement,” Phys. Rev. A
1999
Earlier work this paper cites.
D. Brußand A. Peres, “Construction of quantum states with bound entanglement,” Phys. Rev. A
2000
Earlier work this paper cites.
M. Kuś and K. Życzkowski, “Geometry of entangled states,” Phys. Rev. A
2001
Earlier work this paper cites.
F. Verstraete, K. Audenaert, and B. D. Moor, “Maximally entangled mixed states of two qubits,” Phys. Rev. A
2001
Cited alongside, same era.
A. K. Ekert, C. M. Alves, D. K. L. Oi, M. Horodecki, P. Horodecki, and L. C. Kwek, “Direct estimations of linear and nonlinear functionals of a quantum state,” Phys. Rev. Lett
2002
Cited alongside, same era.
L. Gurvits and H. Barnum, “Largest separable balls around the maximally mixed bipartite quantum state,” Phys. Rev. A
2002
Cited alongside, same era.
L. Gurvits, “Classical deterministic complexity of Edmonds’ problem and quantum entanglement,” in Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing
2003
Cited alongside, same era.
E. Knill, “Separability from spectrum.” Published electronically at http://qig.itp.uni-hannover.de/qiproblems/15 , 2003
2003
Cited alongside, same era.
M. Navascués, M. Owari, and M. B. Plenio, “Power of symmetric extensions for entanglement detection,” Phys. Rev. A
2009
Later among the works it cites.
S. Gharibian, “Strong NP-hardness of the quantum separability problem,” Quantum Inf. Comput
2010
Later among the works it cites.
C. Mehl, V. Mehrmann, and H. Xu, “Singular-value-like decomposition for complex matrix triples,” Journal of computational and applied mathematics
2010
Later among the works it cites.
N. Johnston and D. W. Kribs, “A family of norms with applications in quantum information theory II,” Quantum Inf. Comput
2011
Later among the works it cites.
D. Chruściński and F. A. Wudarski, “Geometry of entanglement witnesses for two qutrits,” Open Systems & Information Dynamics
2011
Later among the works it cites.
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K. Chen and L.-A. Wu, “A matrix realignment method for recognizing entanglement,” Quantum Inf. Comput
2003
Cited alongside, same era.
O. Rudolph, “Some properties of the computable cross norm criterion for separability,” Phys. Rev. A
2003
Cited alongside, same era.
D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, “Unextendible product bases, uncompletable product bases and bound entanglement,” Commun. Math. Phys
2003
Cited alongside, same era.
J. Watrous, “Theory of quantum information lecture notes, lecture 7.” published electronically at http://www.cs.uwaterloo.ca/ watrous/lecture-notes.html , 2004
2004
Cited alongside, same era.
A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, “A complete family of separability criteria,” Phys. Rev. A
2004
Cited alongside, same era.
S. Bandyopadhyay, S. Ghosh, and V. Roychowdhury, “Non-full rank bound entangled states satisfying the range criterion,” Phys. Rev. A
2005
Cited alongside, same era.
J. Watrous, “Notes on super-operator norms induced by Schatten norms,” Quantum Inf. Comput
2005
Cited alongside, same era.
K.-C. Ha and S.-H. Kye, “Entanglement witnesses arising from exposed positive linear maps,” Open Syst. Inf. Dyn
2011
Later among the works it cites.
2011
Later among the works it cites.
M. Grant and S. Boyd, “CVX: MATLAB software for disciplined convex programming, version 2.0 beta.” http://cvxr.com/cvx , Sept. 2012
2012
Later among the works it cites.
PhD thesis, University of Guelph, 2012
N. Johnston, Norms and Cones in the Theory of Quantum Entanglement · 2012
Later among the works it cites.
2012
Later among the works it cites.
N. Johnston, “Separability from spectrum for qubit–qudit states,” Phys. Rev. A
2013
Later among the works it cites.
K.-C. Ha, “Notes on extremality of the Choi map,” Linear Algebra Appl
2013
Later among the works it cites.
D. Chruściński and G. Sarbicki, “Optimal entanglement witnesses for two qutrits,” Open Systems & Information Dynamics
2013
Later among the works it cites.
T. Tanaka, Y. Ota, M. Kanazawa, G. Kimura, H. Nakazato, and F. Nori, “Determining eigenvalues of a density matrix with minimal information in a single experimental setting,” Phys. Rev. A
2014
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N. Ganguly, J. Chatterjee, and A. S. Majumdar, “Witness of mixed separable states useful for entanglement creation,” Phys. Rev. A
2014
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2014
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The number of possible orderings of the real numbers x i x j x_{i}x_{j} ( i ≤ j i\leq j ), subject to the constraint that x 1 > x 2 > … > x n > 0 x_{1}>x_{2}>...>x_{n}>0
N. Johnston, “The On-Line Encyclopedia of Integer Sequences.” A237749 , February 2014 · 2014
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2014
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A. Arunachalam, N. Johnston, and V. Russo, “Supplementary scripts for implementing separability from spectrum SDPs numerically.” https://bitbucket.org/vprusso/sep-from-spec-software , 2014
2014
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