Fetching the paper…
Reading the bibliography…
We study various methods to generate ensembles of random density matrices of a fixed size N, obtained by partial trace of pure states on composite systems.
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcentental functions, McGraw–Hill, New York (1953)
1953
Earlier work this paper cites.
H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc
1959
Earlier work this paper cites.
J. Ginibre, Statistical ensembles of complex, quaternion and real matrices, J. Math. Phys
1965
Earlier work this paper cites.
V. A. Marchenko and L. A. Pastur, The distribution of eigenvalues in certain sets of random matrices, Math. Sb
1967
Earlier work this paper cites.
D. J. C. Bures, An extension of Kakutani’s theorem on infinite product measures to the tensor product of semidefinite w ∗ w^{*} –algebras, Trans. Am. Math. Soc
1969
Earlier work this paper cites.
E. Lubkin, Entropy of an n n –system from its correlation with a k k –reservoir, J. Math. Phys
1978
Earlier work this paper cites.
A. Uhlmann, The metric of Bures and the geometric phase, in Groups and related Topics
1992
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Finitely correlated states on quantum spin chains, Commun. Math. Phys
1992
Earlier work this paper cites.
D. V. Voiculescu, K. J. Dykema and A. Nica, Free random variables
1992
Earlier work this paper cites.
D. Page, Average entropy of a subsystem, Phys. Rev. Lett
1993
Earlier work this paper cites.
M. Żukowski, A. Zeilinger, M. A. Horne and A. K. Ekert, Event-ready detectors: Bell experiment via entanglement swapping, Phys. Rev. Lett
1993
Earlier work this paper cites.
S. L. Braunstein, Geometry of quantum inference, Phys. Lett
1996
Earlier work this paper cites.
D. Petz and C. Sudár, Geometries of quantum states, J. Math. Phys
1996
Earlier work this paper cites.
A. Zvonkin, Matrix integrals and Map enumeration Math. Comput. Modelling
1997
Earlier work this paper cites.
M. J. Hall, Random quantum correlations and density operator distributions, Phys. Lett
1998
Earlier work this paper cites.
M. Poźniak, K. Życzkowski and M. Kuś, Composed ensembles of random unitary matrices, J. Phys
1998
Earlier work this paper cites.
P.B. Slater, Hall normalisation constants for the Bures volumes of the n n -state quantum systems. J. Phys
1999
Earlier work this paper cites.
F. Hiai and D. Petz The Semicircle Law, Free Random Variables and Entropy
2000
Earlier work this paper cites.
U. Haagerup and F. Larsen, Brown’s spectral distribution measure for R R -diagonal elements in finite von Neumann algebras. J. Funct. Anal
2000
Cited alongside, same era.
A. Okounkov, Random matrices and random permutations, Internat. Math. Res. Notices
2000
Cited alongside, same era.
K. Życzkowski and H.-J. Sommers, Induced measures in the space of mixed quantum states, J. Phys
2001
Cited alongside, same era.
R. F. Werner, All teleportation and dense coding schemes, J. Phys
2001
Cited alongside, same era.
K.A. Penson and A.I Solomon, Coherent states from combinatorial sequences, pp. 527-530 in Quantum theory and symmetries
2002
Cited alongside, same era.
D. Armstrong, Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups
2009
Later among the works it cites.
W. Bruzda, V. Cappellini, H.-J. Sommers, and K. Życzkowski, Random Quantum Operations, Phys. Lett
2009
Later among the works it cites.
F. Haake, Quantum Signatures of Chaos
2010
Closest in time.
B. Collins, I. Nechita K. Życzkowski, Random graph states, maximal flow and Fuss-Catalan distributions, J. Phys
2010
Closest in time.
J. P. Forrester, Log-gases and Random matrices
2010
Closest in time.
W. Młotkowski, Fuss-Catalan numbers in noncommutative probability, Documenta Math
2010
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
T.-C. Wei and P. M. Goldbart, Geometric measure of entanglement for multipartite quantum states, Phys. Rev
2003
Cited alongside, same era.
K. Życzkowski and H.-J.Sommers, Hilbert–Schmidt volume of the set of mixed quantum states, J. Phys
2003
Cited alongside, same era.
M. L. Mehta, Random Matrices
2004
Cited alongside, same era.
H.-J. Sommers and K. Życzkowski, Statistical properties of random density matrices, J. Phys
2004
Cited alongside, same era.
F. Verstraete and J. I. Cirac, Renormalization algorithms for quantum - many body systems in two and higher dimensions, preprint ArXiv cond-mat/0407066 (2004)
2004
Cited alongside, same era.
I. Bengtsson and K. Życzkowski, Geometry of quantum states: An introduction to quantum entanglement
2006
Cited alongside, same era.
V.A. Osipov, H.-J. Sommers, K. Życzkowski, Random Bures mixed states and the distribution of their purity, J. Phys
2010
Closest in time.
J. A. Miszczak, Z. Puchała and P. Gawron, Quantum Information package for Mathematica
2010
Closest in time.
2010
Closest in time.
N. Alexeev, F. Götze and A. Tikhomirov, Asymptotic distribution of singular values of powers of random matrices, Lithuanian Math. J
2010
Closest in time.
F. Benaych-Georges, On a surprising relation between the Marchenko-Pastur law, rectangular and square free convolutions, Ann. Inst. Poincaré Probab. Stat
2010
Closest in time.
Z. Burda, A. Jarosz, G. Livan, M. A. Nowak, A. Swiech, Eigenvalues and Singular Values of Products of Rectangular Gaussian Random Matrices, Phys. Rev
2010
Closest in time.
W. Bruzda, M. Smaczyński, V. Cappellini, H.-J. Sommers, K. Życzkowski, Universality of spectra for interacting quantum chaotic systems, Phys. Rev
2010
Closest in time.
A. De Pasquale, P. Facchi, G. Parisi, S. Pascazio, A. Scardicchio, Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum system, Phys. Rev
2010
Closest in time.
C. Nadal, S. N. Majumdar and M. Vergassola, Phase Transitions in the Distribution of Bipartite Entanglement of a Random Pure State, Phys. Rev. Lett
2010
Closest in time.
S. Garnerone, T.R. de Oliveira, S. Haas, and P. Zanardi, Statistical properties of random matrix product states, Phys. Rev
2010
Closest in time.
T. Banica, S. Belinschi, M. Capitaine and B. Collins, Free Bessel laws, Canadian J. Math
2011
Closest in time.