The Tensor Harish-Chandra–Itzykson–Zuber Integral II: Detecting Entanglement in Large Quantum Systems

[1]  B. Collins,et al.  The tensor Harish-Chandra–Itzykson–Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers , 2020, Journal of the European Mathematical Society.

[2]  R. Gurau.  Notes on tensor models and tensor field theories , 2019, Annales de l’Institut Henri Poincaré D.

[3]  O. Gühne,et al.  Entanglement characterization using quantum designs , 2020, Quantum.

[4]  Éric Fusy,et al.  Combinatorial study of graphs arising from the Sachdev-Ye-Kitaev model , 2018, Eur. J. Comb..

[5]  H. Weinfurter,et al.  Multipartite entanglement analysis from random correlations , 2019, 1910.10732.

[6]  M. Lewenstein,et al.  Quantum Entanglement , 2020, Quantum Mechanics.

[7]  I. Nechita,et al.  The joint distribution of the marginals of multipartite random quantum states , 2018, Random Matrices: Theory and Applications.

[8]  Otfried Gühne,et al.  Characterizing Multipartite Entanglement with Moments of Random Correlations. , 2018, Physical review letters.

[9]  B. Collins,et al.  Free probability for purely discrete eigenvalues of random matrices , 2015, Journal of the Mathematical Society of Japan.

[10]  Minh C. Tran,et al.  Correlations between outcomes of random measurements , 2016, 1605.08529.

[11]  K. Życzkowski,et al.  Genuinely multipartite entangled states and orthogonal arrays , 2014, 1404.3586.

[12]  J. Ryan,et al.  Colored Tensor Models - a Review , 2011, 1109.4812.

[13]  I. Goulden,et al.  Monotone Hurwitz Numbers and the HCIZ Integral , 2011, 1107.1015.

[14]  I. Goulden,et al.  Monotone Hurwitz numbers and the HCIZ integral II , 2011, 1107.1001.

[15]  B. Kraus.  Local unitary equivalence and entanglement of multipartite pure states , 2010, 1005.5295.

[16]  B. Kraus,et al.  Local unitary equivalence of multipartite pure states. , 2009, Physical review letters.

[17]  Giorgio Parisi,et al.  Maximally multipartite entangled states , 2007, 0710.2868.

[18]  Alexandru Nica,et al.  Lectures on the Combinatorics of Free Probability , 2006 .

[19]  F. Brandão,et al.  Are all maximally entangled states pure , 2005, quant-ph/0505121.

[20]  A. J. Scott.  Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions , 2003, quant-ph/0310137.

[21]  Roland Speicher,et al.  Free Probability Theory and Random Matrices , 2003 .

[22]  S. Braunstein,et al.  Multipartite entanglement , 2002, quant-ph/0205068.

[23]  B. Collins.  Moments and cumulants of polynomial random variables on unitarygroups, the Itzykson-Zuber integral, and free probability , 2002, math-ph/0205010.

[24]  P. Zinn-Justin.  Adding and multiplying random matrices: a generalization of Voiculescu's formulas. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[25]  C. Itzykson,et al.  The planar approximation. II , 1980 .

[26]  Harish-Chandra.  Differential Operators on a Semisimple Lie Algebra , 1957 .