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In this paper, we first obtain an algebraic formula for the moments of a centered Wishart matrix, and apply it to obtain new convergence results in the large dimension limit when both parameters of the distribution tend to infinity at different speeds.
A. Einstein, B. Podolsky and N. Rosen, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
1935
Earlier work this paper cites.
C. A. Rogers and G. C. Shephard, Convex bodies associated with a given convex body
1958
Earlier work this paper cites.
E. Størmer, Positive linear maps of operator algebras
1963
Earlier work this paper cites.
S. L. Woronowicz, Positive maps of low dimensional matrix algebra
1976
Earlier work this paper cites.
R. Horn and C. Johnson, Matrix analysis. Cambridge University Press, 1985
1985
Earlier work this paper cites.
Z. D. Bai and Y. Q. Yin, Convergence to the semicircle law
1988
Earlier work this paper cites.
R. F. Werner, Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
1989
Earlier work this paper cites.
P. W. Shor, Algorithms for quantum computation: discrete logarithms and factoring
1994
Earlier work this paper cites.
A. Zvonkin, Matrix integrals and map enumeration: an accessible introduction
1995
Earlier work this paper cites.
M. Horodecki, P. Horodecki and R. Horodecki, Separability of mixed states: necessary and sufficient conditions
1996
Earlier work this paper cites.
A. Peres, Separability Criterion for Density Matrices
1996
Earlier work this paper cites.
P. Biane, Some properties of crossings and partitions
1997
Earlier work this paper cites.
C. Bosbach and W. Gawronski, Strong asymptotics for Laguerre polynomials with varying weights
1998
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information. Cambridge University Press, 2000
2000
Cited alongside, same era.
I. Johnstone, On the distribution of the largest eigenvalue in principal components analysis
2001
Cited alongside, same era.
K. Życzkowski and H.-J. Sommers, Induced measures in the space of mixed quantum states
2001
Cited alongside, same era.
L. Gurvits and H. Barnum, Largest separable balls around the maximally mixed bipartite quantum state
2002
Cited alongside, same era.
A. Soshnikov, A Note un Universality of the Distribution of the Largest Eigenvalues in Certain Sample Covariance Matrices
2002
Cited alongside, same era.
L. Gurvits, Classical deterministic complexity of Edmond’s problem and quantum entanglement
R. Hildebrand, Positive partial transpose from spectra,
2007
Later among the works it cites.
I. Nechita, Asymptotics of random density matrices
2007
Later among the works it cites.
S. Szarek, E. Werner and K. Życzkowski, Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive
2008
Later among the works it cites.
M. B. Hastings, Superadditivity of communication capacity using entangled inputs
2009
Later among the works it cites.
D. Ye, On the Bures volume of separable quantum states
2009
Later among the works it cites.
Z. D. Bai and J. Silverstein, Spectral analysis of large dimensional random matrices. 2nd edition. Springer Series in Statistics. Springer, New York, 2010
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2003
Cited alongside, same era.
S. J. Szarek, The volume of separable states is super-doubly-exponentially small in the number of qubits
2005
Cited alongside, same era.
G. Aubrun and S. J. Szarek, Tensor products of convex sets and the volume of separable states on N N qudits
2006
Cited alongside, same era.
I. Bengtsson and K. Życzkowski, Geometry of Quantum States. Cambridge University Press, 2006
2006
Cited alongside, same era.
P. Hayden, D. Leung and A. Winter, Aspects of generic entanglement
2006
Cited alongside, same era.
A. Nica and R. Speicher, Lectures on the combinatorics of free probability. Cambridge University Press 2006
2006
Cited alongside, same era.
S. J. Szarek, I. Bengtsson and K. Życzkowski, On the structure of the body of states with positive partial transpose
2006
Cited alongside, same era.
2010
Later among the works it cites.
E. Katzav and I. P. Castillo, Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble
2010
Later among the works it cites.
D. Ye, On the comparison of volumes of quantum states
2010
Later among the works it cites.
G. Aubrun, S. Szarek and E. Werner, Hastings’ additivity counterexample via Dvoretzky’s theorem
2011
Closest in time.
B. Collins and I. Nechita, Gaussianization and eigenvalue statistics for Random quantum channels (III)
2011
Closest in time.
The On-Line Encyclopedia of Integer Sequences, published electronically at http://oeis.org
2011
Closest in time.
S. Szarek, E. Werner and K. Życzkowski, How often is a random quantum state k-entangled?
2011
Closest in time.