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The Bures metric is a natural choice in measuring the distance of density operators representing states in quantum mechanics.
N. G. de Bruijn, On some multiple integrals involving determinants , J. Indian Math. Soc. 19
1955
Earlier work this paper cites.
D. J. C. Bures, An Extension of Kakutani’s Theorem on Infinite Product Measures to the Tensor Product of Semifinite w*-Algebras , Trans. Am. Math. Soc. 135
1969
Earlier work this paper cites.
F. A. Berezin, Introduction to Superanalysis , 1st edn, D. Reidel Publishing Company, Dordrecht (1987)
1987
Earlier work this paper cites.
I. K. Kostov, O ( n ) O(n) Vector Model on a Planar Random Lattice: Spectrum of Anomalous Dimensions , Mod. Phys. Lett. A 4
1989
Earlier work this paper cites.
A. A. P. Prudnikov, Y. A. Brychkov, I. U. A. Brychkov, and O. I. Maričev, Integrals and Series, Vol. 3: More special functions , Gordon and Breach Science Publishers, London (1990)
1990
Earlier work this paper cites.
M. Hübner, Explicit computation of the Bures distance for density matrices , Phys. Lett. A 163
1992
Earlier work this paper cites.
M. Hübner, Computation of Uhlamm’s parallel transport for density matrices and the Bures metric on three-dimensional Hilbert space , Phys. Lett. A 179
1993
Earlier work this paper cites.
E. L. Basor and P. J. Forrester, Formulas for the evaluation of Toeplitz determinants with rational generating functions , Math. Nachr. 170
1994
Earlier work this paper cites.
M. Ishikawa, S. Okanda, H. Tagawa, and J. Zeng, Generalizations of Cauchy’s determinant and Schur’s Pfaffians , Linear and Multilinear Algebra 39
1995
Earlier work this paper cites.
A. Borodin, Biorthogonal ensembles , Nucl. Phys. B 536
1998
Earlier work this paper cites.
M. J. W. Hall, Random quantum correlations and density operator distributions , Phys. Lett. A 242
1998
Earlier work this paper cites.
I. I. S. Gradshtein, I. I. M. Ryzhik, and A. Jeffrey, Table on Integrals, Series, and Products , Academic Press, San Diego, CA (2000)
2000
Earlier work this paper cites.
E. M. Rains, Correlations for symmetrized increasing subsequences , [arXiv: math/0006097 [math.CO]] (2000)
2000
Earlier work this paper cites.
B. Eynard, Asymptotics of skew orthogonal polynomials , J. Phys. A. 34
2001
Earlier work this paper cites.
P. J. Forrester, Lyapunov exponents for products of complex Gaussian random matrices , J. Stat. Phys. 151
2001
Earlier work this paper cites.
J. Baik, P. Deift and E. Strahov, Products and ratios of characteristic polynomials of random Hermitian matrices J. Math. Phys. 44
2003
Earlier work this paper cites.
H.-J. Sommers and K. Życzkowski, Bures volume of the set of mixed quantum states , J. Phys. A 36
2003
Earlier work this paper cites.
E. Strahov and Y. V. Fyodorov, Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach , Comm. Math. Phys. 241
2003
Earlier work this paper cites.
M. L. Mehta, Random Matrices , 3rd edition, Academic Press Inc., New York (2004)
2004
Earlier work this paper cites.
P. B. Slater, Volumes and hyperareas of the spaces of separable and nonseparable qubit-qutrit systems: Initial numerical analyses , [arXiv: quant-ph/0405114] (2004)
2004
Earlier work this paper cites.
H.-J. Sommers and K. Życzkowski, Statistical properties of random density matrices , J. Phys. A 37
2004
Earlier work this paper cites.
P. B. Slater, Qubit-Qutrit Separability-Probability Ratios , Phys. Rev. A 71
2005
Earlier work this paper cites.
A. Borodin and E. Strahov, Averages of characteristic polynomials in random matrix theory , Comm. Pure App. Math. 59
2006
Earlier work this paper cites.
M. Bertola, M. Gekhtman, and J. Szmigielski, The Cauchy two-matrix model , Commun. Math. Phys. 287
2009
Earlier work this paper cites.
G. Akemann, M. Kieburg, and M.J. Philips, Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices , J. Phys. A 43
2010
Cited alongside, same era.
M. Bertola, M. Gekhtman, and J. Szmigielski, Cauchy Biorthogonal Polynomials , J. Approx. Theory 162
2010
Cited alongside, same era.
Z. Burda, R. A. Janik, and B. Waclaw, Spectrum of the Product of Independent Random Gaussian Matrices , Phys. Rev. E 81, 041132 (2010) [arXiv: 0912.3422 [cond-mat.stat-mech]]
2010
Cited alongside, same era.
P. J. Forrester, Log-gases and random matrices , Princeton University Press, Princeton, NJ, (2010)
2010
Cited alongside, same era.
M. Kieburg and T. Guhr, Derivation of determinantal structures for random matrix ensembles in a new way , J. Phys. A 43
2010
Cited alongside, same era.
T. Neuschel, Plancherel-Rotach formulae for average characteristic polynomials of products of Ginibre random matrices and the Fuss-Catalan distribution , [arXiv: 1311.0365 [math.CA]] (2013)
2013
Later among the works it cites.
L. Zhang, A note on the limiting mean distribution of singular values for products of two Wishart random matrices , J. Math. Phys. 54
2013
Later among the works it cites.
G. Akemann, J. R. Ipsen, and E. Strahov, Permanental processes from products of complex and quaternionic induced Ginibre ensembles , [arXiv: 1404.4583 [math-ph]] (2014)
2014
Closest in time.
G. Akemann, Z. Burda, and M. Kieburg, Universal distribution of Lyapunov exponents for products of Ginibre matrices , J. Phys. A 47
2014
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M. Bertola, M. Gekhtman, and J. Szmigielski, Cauchy-Laguerre two-matrix model and the Meijer-G random point field , Commun. Math. Phys. 326
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M. Kieburg and T. Guhr, A new approach to derive Pfaffian structures for random matrix ensembles , J. Phys. A 43
2010
Cited alongside, same era.
V. A. Osipov, H.-J. Sommers, and K. Życzkowski, Random Bures mixed states and the distribution of their purity , J. Phys. A 43
2010
Cited alongside, same era.
G. Akemann, J. Baik, and P. Di Francesco (Eds.), The Oxford Handbook of Random Matrix Theory , 1st ed., Oxford University Press, Oxford (2011)
2011
Cited alongside, same era.
Z. Burda, A. Jarosz, G. Livan, M. A. Nowak, and A. Swiech, Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices , Phys. Rev. E 82
2011
Cited alongside, same era.
D.-Z. Liu and D.-S. Zhou, Local statistical properties of Schmidt eigenvalues of bipartite entanglement for a random pure state , Int. Math. Res. Not. 2011
2011
Cited alongside, same era.
K. A. Penson and K. Życzkowski, Product of Ginibre matrices: Fuss-Catalan and Raney distributions , Phys. Rev. E 83
2011
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G. Akemann and Z. Burda, Universal microscopic correlation functions for products of independent Ginibre matrices , J. Phys. A 45
2012
Cited alongside, same era.
2014
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T. R. Bromley, M. Cianciaruso, R. Lo Franco, and G. Adesso, Unifying approach to the quantification of bipartite correlations by Bures distance , J. Phys. A 47
2014
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V. Eremeev, N. Ciobanu, and M. Orszag, Thermal effects on the sudden changes and freezing of correlations between remote atoms in cavity QED network , Optics Letters 39
2014
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P. J. Forrester, Probability of all eigenvalues real for products of standard Gaussian matrices , J. Phys. A 47, 065202 (2014) [arXiv: 1309.7736 [math-ph]]
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P. J. Forrester, Eigenvalue statistics for product complex Wishart matrices , J. Phys. A 47
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T. Neuschel, and D. Stivigny, Asymptotics for characteristic polynomials of Wishart type products of complex Gaussian and truncated unitary random matrices , [arXiv: 1407.2755 [math.CA]] (2014)
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R. Schmied, Quantum State Tomography of a Single Qubit: Comparison of Methods , [arXiv: 1407.4759 [quant-ph]] (2014)
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D. Spehner and M. Orszag, Geometric quantum discord with Bures distance , New Journal of Physics 15
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E. Strahov, Differential equations for singular values of products of Ginibre random matrices , [arXiv: 1403.6368 [math-ph]] (2014)
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