Robust Hadamard Matrices, Unistochastic Rays in Birkhoff Polytope and Equi-Entangled Bases in Composite Spaces
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Karol Zyczkowski | Grzegorz Rajchel | Adam Gasiorowski | K. Życzkowski | Grzegorz Rajchel | Adam Gasiorowski
[1] Uffe Haagerup,et al. Orthogonal Maximal Abelian *-Subalgebras of the N×n Matrices and Cyclic N-Roots , 1995 .
[2] On the reconstruction of a unitary matrix from its moduli , 1991 .
[3] K. Życzkowski,et al. Classical 1D maps, quantum graphs and ensembles of unitary matrices , 2000, nlin/0011050.
[4] R. Werner. All teleportation and dense coding schemes , 2000, quant-ph/0003070.
[5] J. H. E. Cohn. Hadamard Matrices and Some Generalisations , 1965 .
[6] B. Karlsson,et al. H-2-reducible complex Hadamard matrices of order 6 , 2011 .
[7] Yik-Hoi Au-Yeung,et al. Permutation matrices whose convex combinations are orthostochastic , 1991 .
[8] F. Rezakhanlou. Hydrodynamic limit for attractive particle systems on ${\bf Z}^d$ , 1991 .
[9] Vlad Gheorghiu,et al. Construction of equally entangled bases in arbitrary dimensions via quadratic Gauss sums and graph states , 2010 .
[10] Karol Zyczkowski,et al. Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant , 2009, 0909.0116.
[11] S. Agaian. Hadamard Matrices and Their Applications , 1985 .
[12] Wojciech Słomczyński,et al. Random unistochastic matrices , 2001, Journal of Physics A: Mathematical and General.
[13] H. Sommers,et al. Random bistochastic matrices , 2007, 0711.3345.
[14] T. Rolski. On random discrete distributions , 1980 .
[15] Petre Dita,et al. Separation of unistochastic matrices from the double stochastic ones: Recovery of a 3×3 unitary matrix from experimental data , 2006, math-ph/0603077.
[16] Wojciech Tadej,et al. A Concise Guide to Complex Hadamard Matrices , 2006, Open Syst. Inf. Dyn..
[17] Ondrej Turek,et al. Equiangular tight frames and unistochastic matrices , 2016, 1607.04528.
[18] J. J. Seidel,et al. Equilateral point sets in elliptic geometry , 1966 .
[19] R. Feldman. Construction , 2004, SP-110: Hyperbolic Paraboloid Shells.
[20] Vahid Karimipour,et al. Equientangled bases in arbitrary dimensions , 2006 .
[21] Ferenc SzollHosi,et al. Construction, classification and parametrization of complex Hadamard matrices , 2011, 1110.5590.
[22] Richard Sinkhorn. A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices , 1964 .
[23] William P. Orrick. Switching Operations for Hadamard Matrices , 2008, SIAM J. Discret. Math..
[24] Exponentially convergent algorithm to generate random points in a $d$--dimensional body , 2013 .
[25] Wojciech Tadej,et al. Birkhoff’s Polytope and Unistochastic Matrices, N = 3 and N = 4 , 2005 .
[26] C. Jarlskog,et al. Unitarity Polygons and CP Violation Areas and Phases in the Standard Electroweak Model , 1988 .
[27] R. Craigen. Equivalence classes of inverse orthogonal and unit Hadamard matrices , 1991, Bulletin of the Australian Mathematical Society.
[28] Stella Stylianou,et al. On skew-Hadamard matrices , 2008, Discret. Math..
[29] Yik-Hoi Au-Yeung,et al. 3×3 Orthostochastic matrices and the convexity of generalized numerical ranges , 1979 .