-
2
-
-
4243216277
-
Mixed-state entanglement and quantum error correction
-
10.1103/PhysRevA.54.3824
-
Bennett C.H. DiVicenzo D.P. Smolin J. Wootters W.K. Mixed-state entanglement and quantum error correction. Phys. Rev. A 1996, 54:3824-3851. 10.1103/PhysRevA.54.3824
-
(1996)
Phys. Rev. A
, vol.54
, pp. 3824-3851
-
-
Bennett, C.H.1
DiVicenzo, D.P.2
Smolin, J.3
Wootters, W.K.4
-
3
-
-
4243238018
-
Inseparable two spin-density matrices can be distilled to a singlet form
-
10.1103/PhysRevLett.78.574
-
Horodecki M. Horodecki P. Horodecki R. Inseparable two spin-density matrices can be distilled to a singlet form. Phys. Rev. Lett. 1997, 78:574-577. 10.1103/PhysRevLett.78.574
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 574-577
-
-
Horodecki, M.1
Horodecki, P.2
Horodecki, R.3
-
4
-
-
0000239556
-
Bound entanglement can be activated
-
10.1103/PhysRevLett.82.1056
-
Horodecki P. Horodecki M. Horodecki R. Bound entanglement can be activated. Phys. Rev. Lett. 1999, 82:1056-1059. 10.1103/PhysRevLett.82.1056
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 1056-1059
-
-
Horodecki, P.1
Horodecki, M.2
Horodecki, R.3
-
5
-
-
0033701916
-
Evidence for bound entangled states with negative partial transpose
-
10.1103/PhysRevA.61.062312
-
DiVincenzo D.P. Shor P.W. Smolin J.A. Terhal B.M. Thapliyal A.V. Evidence for bound entangled states with negative partial transpose. Phys. Rev. A 2000, 61:062312. 10.1103/PhysRevA.61.062312
-
(2000)
Phys. Rev. A
, vol.61
, pp. 062312
-
-
DiVincenzo, D.P.1
Shor, P.W.2
Smolin, J.A.3
Terhal, B.M.4
Thapliyal, A.V.5
-
6
-
-
0042542909
-
Separability criterion and inseparable mixed states with positive partial transposition
-
10.1016/S0375-9601(97)00416-7
-
Horodecki P. Separability criterion and inseparable mixed states with positive partial transposition. Phys. Lett. A 1997, 232:333-339. 10.1016/S0375-9601(97)00416-7
-
(1997)
Phys. Lett. A
, vol.232
, pp. 333-339
-
-
Horodecki, P.1
-
7
-
-
84966261616
-
Decomposable positive maps on C*-algebras
-
.
-
Størmer E. Decomposable positive maps on C*-algebras. P. Am. Math. Soc. 1982, 86:402-404.
-
(1982)
P. Am. Math. Soc.
, vol.86
, pp. 402-404
-
-
Størmer, E.1
-
9
-
-
0042243471
-
Unextendible product bases, uncompletable product bases, and bound entanglement
-
10.1007/s00220-003-0877-6
-
DiVincenzo D.P. Mor T. Shor P.W. Smolin J.A. Terhal B.M. Unextendible product bases, uncompletable product bases, and bound entanglement. Commun. Math. Phys. 2003, 238:379-410. 10.1007/s00220-003-0877-6
-
(2003)
Commun. Math. Phys.
, vol.238
, pp. 379-410
-
-
DiVincenzo, D.P.1
Mor, T.2
Shor, P.W.3
Smolin, J.A.4
Terhal, B.M.5
-
10
-
-
10044238905
-
Unextendible product bases and locally unconvertible bound entangled states
-
10.1007/s11128-004-7076-z
-
Bravyi S. Unextendible product bases and locally unconvertible bound entangled states. Quantum Inf. Process. 2004, 3:309-329. 10.1007/s11128-004-7076-z
-
(2004)
Quantum Inf. Process.
, vol.3
, pp. 309-329
-
-
Bravyi, S.1
-
11
-
-
19544369292
-
Distinguishability of complete and unextendible product bases
-
10.1103/PhysRevA.70.022309
-
De Rinaldis S. Distinguishability of complete and unextendible product bases. Phys. Rev. A 2004, 70:022309. 10.1103/PhysRevA.70.022309
-
(2004)
Phys. Rev. A
, vol.70
, pp. 022309
-
-
De Rinaldis, S.1
-
12
-
-
40749150076
-
Understanding entanglement as resource: Locally distinguishing unextendible product bases
-
10.1103/PhysRevA.77.012304
-
Cohen S.M. Understanding entanglement as resource: Locally distinguishing unextendible product bases. Phys. Rev. A 2008, 77:012304. 10.1103/PhysRevA.77.012304
-
(2008)
Phys. Rev. A
, vol.77
, pp. 012304
-
-
Cohen, S.M.1
-
13
-
-
77950241792
-
Locally indistinguishable subspaces spanned by three-qubit unextendible product bases
-
10.1103/PhysRevA.81.032329
-
Duan R. Xin Y. Ying M. Locally indistinguishable subspaces spanned by three-qubit unextendible product bases. Phys. Rev. A 2010, 81:032329. 10.1103/PhysRevA.81.032329
-
(2010)
Phys. Rev. A
, vol.81
, pp. 032329
-
-
Duan, R.1
Xin, Y.2
Ying, M.3
-
15
-
-
0005388411
-
Unextendible product bases
-
10.1006/jcta.2000.3122
-
Alon N. Lovász L. Unextendible product bases. J. Comb. Theory, Ser. A 2001, 95:169-179. 10.1006/jcta.2000.3122
-
(2001)
J. Comb. Theory, Ser. A
, vol.95
, pp. 169-179
-
-
Alon, N.1
Lovász, L.2
-
16
-
-
33644770299
-
Unextendible product bases and 1-factorization of complete graphs
-
10.1016/j.dam.2005.10.011
-
Feng K. Unextendible product bases and 1-factorization of complete graphs. Discrete Appl. Math. 2006, 154:942-949. 10.1016/j.dam.2005.10.011
-
(2006)
Discrete Appl. Math.
, vol.154
, pp. 942-949
-
-
Feng, K.1
-
17
-
-
84867937584
-
Unextendible product bases and the construction of inseparable states
-
10.1016/S0024-3795(02)00423-8
-
Pittenger A.O. Unextendible product bases and the construction of inseparable states. Linear Algebr. Appl. 2003, 356:235-258. 10.1016/S0024-3795(02)00423-8
-
(2003)
Linear Algebr. Appl.
, vol.356
, pp. 235-258
-
-
Pittenger, A.O.1
-
18
-
-
77953782519
-
Low-rank extremal positive-partial-transpose states and unextendible product bases
-
10.1103/PhysRevA.81.062330
-
Leinaas J.M. Myrheim J. Sollid P. Low-rank extremal positive-partial-transpose states and unextendible product bases. Phys. Rev. A 2010, 81:062330. 10.1103/PhysRevA.81.062330
-
(2010)
Phys. Rev. A
, vol.81
, pp. 062330
-
-
Leinaas, J.M.1
Myrheim, J.2
Sollid, P.3
-
19
-
-
80053993396
-
Unextendible product bases and extremal density matrices with positive partial transpose
-
10.1103/PhysRevA.84.042325
-
Leinaas J.M. Sollid P. Myrheim J. Unextendible product bases and extremal density matrices with positive partial transpose. Phys. Rev. A 2011, 84:042325. 10.1103/PhysRevA.84.042325
-
(2011)
Phys. Rev. A
, vol.84
, pp. 042325
-
-
Leinaas, J.M.1
Sollid, P.2
Myrheim, J.3
-
21
-
-
77953803504
-
Numerical studies of entangled positive-partial-transpose states in composite quantum systems
-
10.1103/PhysRevA.81.062329
-
Leinaas J.M. Myrheim J. Sollid P. Numerical studies of entangled positive-partial-transpose states in composite quantum systems. Phys. Rev. A 2010, 81:062329. 10.1103/PhysRevA.81.062329
-
(2010)
Phys. Rev. A
, vol.81
, pp. 062329
-
-
Leinaas, J.M.1
Myrheim, J.2
Sollid, P.3
-
23
-
-
84855294126
-
-
10.1063/1.3663837, and ;e-print arXiv:1105.3142.
-
Chen L. Žoković D. J. Math. Phys. 2011, 52:122203. 10.1063/1.3663837, and ;e-print arXiv:1105.3142.
-
(2011)
J. Math. Phys.
, vol.52
, pp. 122203
-
-
Chen, L.1
Žoković, D.2
-
24
-
-
79960065939
-
Distillability and PPT entanglement of low-rank quantum states
-
10.1088/1751-8113/44/28/285303
-
Chen L. Žoković D. Distillability and PPT entanglement of low-rank quantum states. J. Phys. A 2011, 44:285303. 10.1088/1751-8113/44/28/285303
-
(2011)
J. Phys. A
, vol.44
, pp. 285303
-
-
Chen, L.1
Žoković, D.2
-
25
-
-
79955845219
-
A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces
-
10.1088/1751-8113/44/21/212001
-
Augusiak R. Tura J. Lewenstein M. A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces. J. Phys. A 2011, 44:212001. 10.1088/1751-8113/44/21/212001
-
(2011)
J. Phys. A
, vol.44
, pp. 212001
-
-
Augusiak, R.1
Tura, J.2
Lewenstein, M.3
-
26
-
-
25444489307
-
Atomic positive linear maps in matrix algebras
-
10.2977/prims/1195144425
-
Ha K.-C. Atomic positive linear maps in matrix algebras. Publ. Res. Inst. Math. Sci. 1998, 34:591-599. 10.2977/prims/1195144425
-
(1998)
Publ. Res. Inst. Math. Sci.
, vol.34
, pp. 591-599
-
-
Ha, K.-C.1
-
27
-
-
0035584893
-
A family of indecomposable positive linear maps based on entangled quantum states
-
10.1016/S0024-3795(00)00251-2
-
Terhal B.M. A family of indecomposable positive linear maps based on entangled quantum states. Linear Algebr. Appl. 2001, 323:61-73. 10.1016/S0024-3795(00)00251-2
-
(2001)
Linear Algebr. Appl.
, vol.323
, pp. 61-73
-
-
Terhal, B.M.1
-
28
-
-
0035307066
-
Characterization of separable states and entanglement witnesses
-
10.1103/PhysRevA.63.044304
-
Lewenstein M. Kraus B. Horodecki P. Cirac J.I. Characterization of separable states and entanglement witnesses. Phys. Rev. A 2001, 63:044304. 10.1103/PhysRevA.63.044304
-
(2001)
Phys. Rev. A
, vol.63
, pp. 044304
-
-
Lewenstein, M.1
Kraus, B.2
Horodecki, P.3
Cirac, J.I.4
-
29
-
-
10044250143
-
On the maximal dimension of a completely entangled subspace for finite level quantum systems
-
10.1007/BF02829441
-
Parthasarathy K.R. On the maximal dimension of a completely entangled subspace for finite level quantum systems. Proc. Indian Acad. Sci., Math. Phys. Sci. 2004, 114:365-374. 10.1007/BF02829441
-
(2004)
Proc. Indian Acad. Sci., Math. Phys. Sci.
, vol.114
, pp. 365-374
-
-
Parthasarathy, K.R.1
-
30
-
-
33746376599
-
A completely entangled subspace of maximal dimension
-
10.1142/S0219749906001797
-
Rajarama Bhat B.V. A completely entangled subspace of maximal dimension. Int. J. Quantum Inf. 2006, 4:325-330. 10.1142/S0219749906001797
-
(2006)
Int. J. Quantum Inf.
, vol.4
, pp. 325-330
-
-
Rajarama Bhat, B.V.1
-
31
-
-
38849179541
-
An unentangled Gleason's theorem
-
AMS Contemporary Mathematics American Mathematical Society, Providence, )
-
Wallach N.R. An unentangled Gleason's theorem. Quantum Computation and Quantum Information 2002, 305:291-298. in AMS Contemporary Mathematics, Vol. (American Mathematical Society, Providence, )
-
(2002)
Quantum Computation and Quantum Information
, vol.305
, pp. 291-298
-
-
Wallach, N.R.1
-
32
-
-
40149086995
-
On the dimension of subspaces with bounded Schmidt rank
-
10.1063/1.2862998
-
Cubitt T. Montanaro A. Winter A. On the dimension of subspaces with bounded Schmidt rank. J. Math. Phys. 2008, 49:022107. 10.1063/1.2862998
-
(2008)
J. Math. Phys.
, vol.49
, pp. 022107
-
-
Cubitt, T.1
Montanaro, A.2
Winter, A.3
-
33
-
-
84855280701
-
-
private communication .
-
Sarbicki G. 2011, private communication.
-
(2011)
-
-
Sarbicki, G.1
-
34
-
-
54749141647
-
Generic local distinguishability and completely entangled subspaces
-
10.1088/1751-8113/41/37/375305
-
Walgate J. Scott A.J. Generic local distinguishability and completely entangled subspaces. J. Phys. A 2008, 41:375305. 10.1088/1751-8113/41/37/375305
-
(2008)
J. Phys. A
, vol.41
, pp. 375305
-
-
Walgate, J.1
Scott, A.J.2
-
35
-
-
18344371923
-
Operational criterion and constructive checks for the separability of low-rank density matrices
-
10.1103/PhysRevA.62.032310
-
Horodecki P. Lewenstein M. Vidal G. Cirac I. Operational criterion and constructive checks for the separability of low-rank density matrices. Phys. Rev. A 2000, 62:032310. 10.1103/PhysRevA.62.032310
-
(2000)
Phys. Rev. A
, vol.62
, pp. 032310
-
-
Horodecki, P.1
Lewenstein, M.2
Vidal, G.3
Cirac, I.4
-
36
-
-
33746265860
-
Geometrical aspects of entanglement
-
10.1103/PhysRevA.74.012313
-
Leinaas J.M. Myrheim J. Ovrum E. Geometrical aspects of entanglement. Phys. Rev. A 2006, 74:012313. 10.1103/PhysRevA.74.012313
-
(2006)
Phys. Rev. A
, vol.74
, pp. 012313
-
-
Leinaas, J.M.1
Myrheim, J.2
Ovrum, E.3
-
37
-
-
0042376719
-
Separability of mixed states: necessary and sufficient conditions
-
10.1016/S0375-9601(96)00706-2
-
Horodecki M. Horodecki P. Horodecki R. Separability of mixed states: necessary and sufficient conditions. Phys. Lett. A 1996, 223:1-8. 10.1016/S0375-9601(96)00706-2
-
(1996)
Phys. Lett. A
, vol.223
, pp. 1-8
-
-
Horodecki, M.1
Horodecki, P.2
Horodecki, R.3
-
39
-
-
0035332614
-
Schmidt-number witnesses and bound entanglement
-
10.1103/PhysRevA.63.050301
-
Sanpera A. Bruß D. Lewenstein M. Schmidt-number witnesses and bound entanglement. Phys. Rev. A 2001, 63:050301. 10.1103/PhysRevA.63.050301
-
(2001)
Phys. Rev. A
, vol.63
, pp. 050301
-
-
Sanpera, A.1
Bruß, D.2
Lewenstein, M.3
-
40
-
-
67650494727
-
Cones of positive maps and their duality relations
-
10.1063/1.3155378
-
Skowronek T. Størmer E. Zyczkowski K. Cones of positive maps and their duality relations. J. Math. Phys. 2009, 50:870-892. 10.1063/1.3155378
-
(2009)
J. Math. Phys.
, vol.50
, pp. 870-892
-
-
Skowronek, T.1
Størmer, E.2
Zyczkowski, K.3
-
41
-
-
0037599242
-
Entangled states with positive patrial transposes arising from indecomposable positive linear maps
-
10.1016/S0375-9601(03)00733-3
-
Ha K.-C. Kye S.-H. Park Y.S. Entangled states with positive patrial transposes arising from indecomposable positive linear maps. Phys. Lett. A 2003, 313:163-174. 10.1016/S0375-9601(03)00733-3
-
(2003)
Phys. Lett. A
, vol.313
, pp. 163-174
-
-
Ha, K.-C.1
Kye, S.-H.2
Park, Y.S.3
-
42
-
-
74249115816
-
Searching for extremal PPT entangled states
-
10.1016/j.optcom.2009.10.050
-
Augusiak R. Grabowski J. Kuś M. Lewenstein M. Searching for extremal PPT entangled states. Opt. Commun. 2010, 283:805-813. 10.1016/j.optcom.2009.10.050
-
(2010)
Opt. Commun.
, vol.283
, pp. 805-813
-
-
Augusiak, R.1
Grabowski, J.2
Kuś, M.3
Lewenstein, M.4
|