-
1
-
-
85045572328
-
Partial transposition of random states and non-centered semicircular distributions
-
1250001
-
G. Aubrun, Partial transposition of random states and non-centered semicircular distributions, Random Matrices: Theory Appl. 1(2) (2012), 1250001 (29 pages).
-
(2012)
Random Matrices: Theory Appl.
, vol.1
, Issue.2
, pp. 29
-
-
Aubrun, G.1
-
2
-
-
33144464230
-
Tensor products of convex sets and the volume of separable states on N qudits
-
G. Aubrun and S. J. Szarek, Tensor products of convex sets and the volume of separable states on N qudits, Phys. Rev. A 73 (2006) 022109.
-
(2006)
Phys Rev. A
, vol.73
, pp. 022109
-
-
Aubrun, G.1
Szarek, S.J.2
-
3
-
-
79956161226
-
Hastings' additivity counterexample via Dvoretzky's theorem
-
G. Aubrun, S. Szarek and E.Werner, Hastings' additivity counterexample via Dvoretzky's theorem, Comm. Math. Phys. 305 (2011) 85-97.
-
(2011)
Comm. Math. Phys.
, vol.305
, pp. 85-97
-
-
Aubrun, G.1
Szarek, S.2
Werner, E.3
-
5
-
-
84858395661
-
Phase transitions for random states and a semi-circle law for the partial transpose
-
4 pages
-
G. Aubrun, S. Szarek and D. Ye, Phase transitions for random states and a semi-circle law for the partial transpose, Phy. Rev. A. 85 (2012) 030302(R) (4 pages).
-
(2012)
Phy. Rev. A.
, vol.85
, pp. 30302
-
-
Aubrun, G.1
Szarek, S.2
Ye, D.3
-
7
-
-
0011324907
-
Convergence to the semicircle law
-
Z. D. Bai and Y. Q. Yin, Convergence to the semicircle law, Ann. Probab. 16 (1988) 863-875.
-
(1988)
Ann Probab.
, vol.16
, pp. 863-875
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
8
-
-
0002964353
-
Some properties of crossings and partitions
-
P. Biane, Some properties of crossings and partitions, Discrete Math. 175 (1997) 41-53.
-
(1997)
Discrete Math.
, vol.175
, pp. 41-53
-
-
Biane, P.1
-
9
-
-
0032207908
-
Strong asymptotics for Laguerre polynomials with varying weights
-
C. Bosbach and W. Gawronski, Strong asymptotics for Laguerre polynomials with varying weights, J. Comput. Appl. Math. 99 (1998) 77-89.
-
(1998)
J. Comput. Appl. Math.
, vol.99
, pp. 77-89
-
-
Bosbach, C.1
Gawronski, W.2
-
10
-
-
85080912567
-
-
online first
-
T. Banica and I. Nechita, Asymptotic eigenvalue distributions of block-transposed Wishart matrices, arXiv:1105.2556. J. Theore. Probab, online first.
-
J. Theore. Probab
-
-
Banica, T.1
Nechita, I.2
-
12
-
-
79958209718
-
Gaussianization and eigenvalue statistics for random quantum channels (III)
-
B. Collins and I. Nechita, Gaussianization and eigenvalue statistics for random quantum channels (III), Ann. Appl. Probab. 21 (2011) 1136-1179.
-
(2011)
Ann. Appl. Probab.
, vol.21
, pp. 1136-1179
-
-
Collins, B.1
Nechita, I.2
-
13
-
-
33947385649
-
Can quantum-mechanical description of physical reality be considered complete
-
A. Einstein, B. Podolsky and N. Rosen, Can quantum-mechanical description of physical reality be considered complete Phys. Rev. 47 (1935) 777-780.
-
(1935)
Phys Rev.
, vol.47
, pp. 777-780
-
-
Einstein, A.1
Podolsky, B.2
Rosen, N.3
-
15
-
-
79959705851
-
From low-distortion norm embeddings to explicit uncertainty relations and efficient information locking
-
[quant-ph]
-
O. Fawzi, P. Hayden and P. Sen, From low-distortion norm embeddings to explicit uncertainty relations and efficient information locking, in Proceedings of 43rd ACM STOC (2011), arXiv:1010.3007v3 [quant-ph].
-
(2011)
Proceedings of 43rd ACM STOC
-
-
Fawzi, O.1
Hayden, P.2
Sen, P.3
-
16
-
-
0041345998
-
Classical deterministic complexity of Edmond's problem and quantum entanglement
-
ACM, New York, (Electronic)
-
L. Gurvits, Classical deterministic complexity of Edmond's problem and quantum entanglement, Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing (ACM, New York, 2003), pp. 10-19 (Electronic).
-
(2003)
Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing
, pp. 10-19
-
-
Gurvits, L.1
-
17
-
-
0036994563
-
Largest separable balls around the maximally mixed bipartite quantum state
-
L. Gurvits and H. Barnum, Largest separable balls around the maximally mixed bipartite quantum state, Phys. Rev. A 66 (2002) 062311.
-
(2002)
Phys. Rev. A
, vol.66
, pp. 062311
-
-
Gurvits, L.1
Barnum, H.2
-
18
-
-
63849119968
-
Superadditivity of communication capacity using entangled inputs
-
M. B. Hastings, Superadditivity of communication capacity using entangled inputs, Nat. Phys. 5 (2009) 255-257.
-
(2009)
Nat. Phys.
, vol.5
, pp. 255-257
-
-
Hastings, M.B.1
-
20
-
-
36549079515
-
Positive partial transpose from spectra
-
R. Hildebrand, Positive partial transpose from spectra, Phys. Rev. A 76 (2007) 052325.
-
(2007)
Phys. Rev. A
, vol.76
, pp. 052325
-
-
Hildebrand, R.1
-
22
-
-
0042376719
-
Separability of mixed states: Necessary and sufficient conditions
-
M. Horodecki, P. Horodecki and R. Horodecki, Separability of mixed states: Necessary and sufficient conditions, Phys. Lett. A 223 (1996) 1-8.
-
(1996)
Phys. Lett. A
, vol.223
, pp. 1-8
-
-
Horodecki, M.1
Horodecki, P.2
Horodecki, R.3
-
23
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
I. Johnstone, On the distribution of the largest eigenvalue in principal components analysis, Ann. Statist. 29 (2001) 295-327.
-
(2001)
Ann. Statist.
, vol.29
, pp. 295-327
-
-
Johnstone, I.1
-
24
-
-
78651341854
-
Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble
-
E. Katzav and I. P. Castillo, Large deviations of the smallest eigenvalue of the Wishart-Laguerre ensemble, Phys. Rev. E 82 (2010) 040104(R).
-
(2010)
Phys Rev. E
, vol.82
, pp. 40104
-
-
Katzav, E.1
Castillo, I.P.2
-
25
-
-
0035279037
-
Geometry of entangled states
-
3
-
M. Kús and K. Z yczkowski, Geometry of entangled states, Phys. Rev. A (3) 63(3) (2001) 032307.
-
(2001)
Phys. Rev. A
, vol.3
, Issue.63
, pp. 032307
-
-
Kús, M.1
Zyczkowski, K.2
-
26
-
-
39049092375
-
Asymptotics of random density matrices
-
I. Nechita, Asymptotics of random density matrices, Ann. Henri Poincaré 8 (2007) 1521-1538.
-
(2007)
Ann. Henri Poincaré
, vol.8
, pp. 1521-1538
-
-
Nechita, I.1
-
31
-
-
0037574296
-
Separability criterion for density matrices
-
A. Peres, Separability criterion for density matrices, Phys. Rev. Lett. 77 (1996) 1413-1415.
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 1413-1415
-
-
Peres, A.1
-
32
-
-
84963019102
-
Convex bodies associated with a given convex body
-
C. A. Rogers and G. C. Shephard, Convex bodies associated with a given convex body, J. London Math. Soc. 33 (1958) 270-281.
-
(1958)
J London Math. Soc.
, vol.33
, pp. 270-281
-
-
Rogers, C.A.1
Shephard, G.C.2
-
33
-
-
85115374351
-
Algorithms for quantum computation: Discrete logarithms and factoring
-
P. W. Shor, Algorithms for quantum computation: Discrete logarithms and factoring, in IEEE Symposium on Foundations of Computer Science (1994), pp. 124-134.
-
(1994)
IEEE Symposium on Foundations of Computer Science
, pp. 124-134
-
-
Shor, P.W.1
-
34
-
-
0141450345
-
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
-
A. Soshnikov, A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices, J. Statist. Phys. 108 (2002) 1033-1056.
-
(2002)
J. Statist. Phys.
, vol.108
, pp. 1033-1056
-
-
Soshnikov, A.1
-
35
-
-
0000896652
-
Positive linear maps of operator algebras
-
E. Stormer, Positive linear maps of operator algebras, Acta Math. 110 (1963) 233-278.
-
(1963)
Acta Math.
, vol.110
, pp. 233-278
-
-
Stormer, E.1
-
36
-
-
28844465382
-
The volume of separable states is super-doubly-exponentially small in the number of qubits
-
S. J. Szarek, The volume of separable states is super-doubly-exponentially small in the number of qubits, Phys. Rev. A 72 (2005) 032304.
-
(2005)
Phys. Rev. A
, vol.72
, pp. 032304
-
-
Szarek, S.J.1
-
37
-
-
31144456196
-
On the structure of the body of states with positive partial transpose
-
S. J. Szarek, I. Bengtsson and K. Z yczkowski, On the structure of the body of states with positive partial transpose, J. Phys. A: Math. Gen. 39 (2006) L119-L126.
-
(2006)
J. Phys. A: Math. Gen.
, vol.39
, pp. L119-L126
-
-
Szarek, S.J.1
Bengtsson, I.2
Zyczkowski, K.3
-
38
-
-
41549151242
-
Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive
-
S. Szarek, E. Werner and K. Zyczkowski, Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive, J. Math. Phys. 49 (2008) 032113.
-
(2008)
J. Math. Phys.
, vol.49
, pp. 032113
-
-
Szarek, S.1
Werner, E.2
Zyczkowski, K.3
-
40
-
-
0039624459
-
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
-
R. F. Werner, Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model, Phys. Rev. A 40 (1989) 4277-4281.
-
(1989)
Phys. Rev. A
, vol.40
, pp. 4277-4281
-
-
Werner, R.F.1
-
41
-
-
0000260392
-
Positive maps of low dimensional matrix algebra
-
S. L. Woronowicz, Positive maps of low dimensional matrix algebra, Rep. Math. Phys. 10 (1976) 165-183.
-
(1976)
Rep. Math. Phys.
, vol.10
, pp. 165-183
-
-
Woronowicz, S.L.1
-
42
-
-
69749115934
-
On the Bures volume of separable quantum states
-
D. Ye, On the Bures volume of separable quantum states, J. Math. Phy. 50 (2009) 083502.
-
(2009)
J. Math. Phy.
, vol.50
, pp. 083502
-
-
Ye, D.1
-
43
-
-
84887252158
-
On the comparison of volumes of quantum states
-
(17 pages)
-
D. Ye, On the comparison of volumes of quantum states, J. Phys. A: Math. Theor. 43 (2010) 315301 (17 pages).
-
(2010)
J. Phys. A: Math. Theor.
, vol.43
, pp. 315301
-
-
Ye, D.1
-
44
-
-
0031258947
-
Matrix integrals and map enumeration: An accessible introduction
-
Combinatorics and physics (Marseilles, 1995)
-
A. Zvonkin, Matrix integrals and map enumeration: An accessible introduction, Math. Comput. Modell. 26(8-10) (1997) 281-304. Combinatorics and physics (Marseilles, 1995).
-
(1997)
Math. Comput. Modell.
, vol.26
, Issue.8-10
, pp. 281-304
-
-
Zvonkin, A.1
-
45
-
-
0035823453
-
Induced measures in the space of mixed quantum states
-
K. Z yczkowski and H.-J. Sommers, Induced measures in the space of mixed quantum states, J. Phys. A 34 (2001) 7111.
-
(2001)
J. Phys. A
, vol.34
, pp. 7111
-
-
Zyczkowski, K.1
Sommers, H.-J.2
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