-
2
-
-
2442586601
-
On the multiplicativity conjecture for quantum channels
-
Amosov, G. G., Holevo, A. S., On the multiplicativity conjecture for quantum channels. Theor. Probab. Appl. 47 (1) (2002), 143-146.
-
(2002)
Theor. Probab. Appl.
, vol.47
, Issue.1
, pp. 143-146
-
-
Amosov, G.G.1
Holevo, A.S.2
-
3
-
-
0001119866
-
On some additivity problems in quantum information theory
-
Amosov, G. G., Holevo, A. S., and Werner, R. F., On some additivity problems in quantum information theory. Probl. Inform. Transm. 36 (4) (2000), 25-34.
-
(2000)
Probl. Inform. Transm.
, vol.36
, Issue.4
, pp. 25-34
-
-
Amosov, G.G.1
Holevo, A.S.2
Werner, R.F.3
-
4
-
-
2442477562
-
On strong superadditivity of the entanglement of formation
-
Audenaert, K. M. R., Braunstein, S. L., On strong superadditivity of the entanglement of formation. Commun. Math. Phys. 246 (2004), 443-452.
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 443-452
-
-
Audenaert, K.M.R.1
Braunstein, S.L.2
-
5
-
-
0003151878
-
Entanglement-enhanced classical communication on a noisy quantum channel
-
(ed. by O. Hirota, A. S. Holevo and C. M. Caves), Plenum, New York
-
Bennett, C. H., Fuchs, C. A., Smolin, J. A., Entanglement-enhanced classical communication on a noisy quantum channel. In Quantum Communication, Computing and Measurement, Proc. QCM96 (ed. by O. Hirota, A. S. Holevo and C. M. Caves), Plenum, New York 1997, 79-88.
-
(1997)
Quantum Communication, Computing and Measurement, Proc. QCM96
, pp. 79-88
-
-
Bennett, C.H.1
Fuchs, C.A.2
Smolin, J.A.3
-
7
-
-
0003362033
-
Matrix analysis
-
Springer-Verlag, New York
-
Bhatia, R., Matrix Analysis. Grad. Texts in Math. 169, Springer-Verlag, New York 1997.
-
(1997)
Grad. Texts in Math.
, vol.169
-
-
Bhatia, R.1
-
8
-
-
0005214599
-
A Minkowski type trace inequality and strong subadditivity of quantum entropy
-
(ed. by V. Buslaev, M. Solomyak and D. Yafaev), Amer. Math. Soc. Transl. Ser. 2 189, Amer. Math. Soc., Providence, RI
-
Carlen, E. A., Lieb, E. H., A Minkowski type trace inequality and strong subadditivity of quantum entropy. In Differential operators and spectral theory (ed. by V. Buslaev, M. Solomyak and D. Yafaev), Amer. Math. Soc. Transl. Ser. 2 189, Amer. Math. Soc., Providence, RI, 1999, 59-68.
-
(1999)
Differential Operators and Spectral Theory
, pp. 59-68
-
-
Carlen, E.A.1
Lieb, E.H.2
-
9
-
-
0016522050
-
Completely positive maps on complex matrices
-
Choi, M.-D., Completely positive maps on complex matrices. Linear Algebra Appl. 10 (1975), 285-290.
-
(1975)
Linear Algebra Appl.
, vol.10
, pp. 285-290
-
-
Choi, M.-D.1
-
15
-
-
33646397389
-
-
quant-ph/0506196
-
Devetak, I., Junge, M., King, C., Ruskai, M. B., Multiplicativity of completely bounded p-norms implies a new additivity result. quant-ph/0506196.
-
Multiplicativity of Completely Bounded P-norms Implies A New Additivity Result
-
-
Devetak, I.1
Junge, M.2
King, C.3
Ruskai, M.B.4
-
17
-
-
27744500513
-
-
quant-ph/0404037
-
Giovannetti, V., Lloyd, S., Maccone, L., Shapiro, J. H., Yen, B. J., Minimum Rényi and Wehrl entropies at the output of bosonic channels. quant-ph/0404037.
-
Minimum Rényi and Wehrl Entropies at the Output of Bosonic Channels
-
-
Giovannetti, V.1
Lloyd, S.2
MacCone, L.3
Shapiro, J.H.4
Yen, B.J.5
-
19
-
-
0031675590
-
The capacity of quantum communication channel with general signal states
-
Holevo, A. S., The capacity of quantum communication channel with general signal states. IEEE Trans. Inform. Theory 44 (1) (1998), 269-272.
-
(1998)
IEEE Trans. Inform. Theory
, vol.44
, Issue.1
, pp. 269-272
-
-
Holevo, A.S.1
-
20
-
-
0347988394
-
Quantum coding theorems
-
Holevo, A. S., Quantum coding theorems. Russ. Math. Surveys 53 (1998), 1295-1331.
-
(1998)
Russ. Math. Surveys
, vol.53
, pp. 1295-1331
-
-
Holevo, A.S.1
-
21
-
-
0011520298
-
Statistical structure of quantum theory
-
Springer-Verlag, Berlin
-
Holevo, A. S., Statistical structure of quantum theory. Lect. Notes Phys. Monogr. 67, Springer-Verlag, Berlin 2001.
-
(2001)
Lect. Notes Phys. Monogr.
, vol.67
-
-
Holevo, A.S.1
-
23
-
-
3242729446
-
Entanglement-assisted capacities of constrained quantum channels
-
Holevo, A. S., Entanglement-assisted capacities of constrained quantum channels. Theory Probab. Appl. 48 (2003), 243-255.
-
(2003)
Theory Probab. Appl.
, vol.48
, pp. 243-255
-
-
Holevo, A.S.1
-
24
-
-
33745144141
-
Additivity conjecture and covariant channels
-
Holevo, A. S., Additivity conjecture and covariant channels. Int. J. Quant. Inform. 3 (1) (2005), 41-48.
-
(2005)
Int. J. Quant. Inform.
, vol.3
, Issue.1
, pp. 41-48
-
-
Holevo, A.S.1
-
26
-
-
4344568577
-
On Shor's channel extension and constrained channels
-
Holevo, A. S., Shirokov, M. E., On Shor's channel extension and constrained channels. Commun. Math. Phys. 249 (2004), 417-430.
-
(2004)
Commun. Math. Phys.
, vol.249
, pp. 417-430
-
-
Holevo, A.S.1
Shirokov, M.E.2
-
28
-
-
33646195566
-
Evaluating capacities of Bosonic Gaussian channels
-
Holevo, A. S., Werner, R. F., Evaluating capacities of Bosonic Gaussian channels. Phys. Rev. A. 63 (2001), 032312.
-
(2001)
Phys. Rev. A.
, vol.63
, pp. 032312
-
-
Holevo, A.S.1
Werner, R.F.2
-
29
-
-
0141481846
-
General entanglement breaking channels
-
Horodecki, M., Shor, P.W., Ruskai, M. B., General entanglement breaking channels. Rev. Math. Phys. 15 (2003), 629-641.
-
(2003)
Rev. Math. Phys.
, vol.15
, pp. 629-641
-
-
Horodecki, M.1
Shor, P.W.2
Ruskai, M.B.3
-
30
-
-
0039209532
-
-
Editorial URSS, Moscow, Transl. Math. Monogr. 222, Amer. Math. Soc, Providence, RI
-
Magaril-Il'yaev, G. G., Tikhomirov, B. M., Convex analysis: theory and applications. Editorial URSS, Moscow 2000, Transl. Math. Monogr. 222, Amer. Math. Soc, Providence, RI, 2003.
-
(2000)
Convex Analysis: Theory and Applications
-
-
Magaril-Il'yaev, G.G.1
Tikhomirov, B.M.2
-
36
-
-
35548937371
-
-
quant-ph/0509126
-
King, C., Matsumoto, K., Natanson, M., and Ruskai, M.B., Properties of conjugate channels with applications to additivity and multiplicativity. quant-ph/0509126.
-
Properties of Conjugate Channels with Applications to Additivity and Multiplicativity
-
-
King, C.1
Matsumoto, K.2
Natanson, M.3
Ruskai, M.B.4
-
38
-
-
14844337524
-
Comments on multiplicativity of maximal p-norms when p = 2
-
King, C., Ruskai, M.-B., Comments on multiplicativity of maximal p-norms when p = 2. Quantum Inf. Comput. 4 (2004), 500-512.
-
(2004)
Quantum Inf. Comput.
, vol.4
, pp. 500-512
-
-
King, C.1
Ruskai, M.-B.2
-
39
-
-
0000201926
-
Gaussian kernels have only Gaussian maximizers
-
Lieb, E. H., Gaussian kernels have only Gaussian maximizers, Invent. Math. 102 (1990), 179-208.
-
(1990)
Invent. Math.
, vol.102
, pp. 179-208
-
-
Lieb, E.H.1
-
40
-
-
0002624077
-
Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities
-
(ed. by E. H. Lieb, B. Simon, A. Wightman), Stud. Math.Phys., Princeton University Press
-
Lieb, E. H., Thirring, W. E., Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities. In Essays in Honor of Valentine Bargmann (ed. by E. H. Lieb, B. Simon, A. Wightman), Stud. Math.Phys., Princeton University Press, 1976, 269-297.
-
(1976)
Essays in Honor of Valentine Bargmann
, pp. 269-297
-
-
Lieb, E.H.1
Thirring, W.E.2
-
44
-
-
0037538981
-
p-spaces and completely p-summing maps
-
p-spaces and Completely p-summing Maps. Astérisque 247 (1998).
-
(1998)
Astérisque
, vol.247
-
-
Pisier, G.1
-
45
-
-
31244433606
-
An analysis of completely-positive trace-preserving maps on 2 × 2 matrices
-
Ruskai, M. B., Szarek, S., Werner, E., An analysis of completely-positive trace-preserving maps on 2 × 2 matrices. Linear Algebra Appl. 347 (2002), 159-187.
-
(2002)
Linear Algebra Appl.
, vol.347
, pp. 159-187
-
-
Ruskai, M.B.1
Szarek, S.2
Werner, E.3
-
46
-
-
29644446388
-
The Holevo capacity of infinite dimensional channels
-
Shirokov, M. E., The Holevo capacity of infinite dimensional channels. Commun. Math. Phys. 262 (2006), 137-159.
-
(2006)
Commun. Math. Phys.
, vol.262
, pp. 137-159
-
-
Shirokov, M.E.1
-
47
-
-
0035981722
-
Additivity of the classical capacity of entanglement-breaking quantum channels
-
Shor, P. W., Additivity of the classical capacity of entanglement- breaking quantum channels. J. Math. Phys. 43 (2003), 4334-4340.
-
(2003)
J. Math. Phys.
, vol.43
, pp. 4334-4340
-
-
Shor, P.W.1
-
48
-
-
2442437901
-
Equivalence of additivity questions in quantum information theory
-
Shor, P.W., Equivalence of additivity questions in quantum information theory. Commun. Math. Phys. 246 (2004), 453-472.
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 453-472
-
-
Shor, P.W.1
-
49
-
-
0000712477
-
Sending classical information via noisy quantum channel
-
Schumacher, B., Westmoreland, M. D., Sending classical information via noisy quantum channel. Phys. Rev. A. 56 (1) (1997), 131-138.
-
(1997)
Phys. Rev. A.
, vol.56
, Issue.1
, pp. 131-138
-
-
Schumacher, B.1
Westmoreland, M.D.2
-
51
-
-
84968466834
-
Positive functions on C*-algebras
-
Stinespring, W. F., Positive functions on C*-algebras. Proc. Amer. Math. Soc. 6 (1955), 211-316.
-
(1955)
Proc. Amer. Math. Soc.
, vol.6
, pp. 211-316
-
-
Stinespring, W.F.1
-
52
-
-
5844266551
-
General properties of entropy
-
Wehrl, A., General properties of entropy. Rev. Mod. Phys. 50 (1978), 221-250.
-
(1978)
Rev. Mod. Phys.
, vol.50
, pp. 221-250
-
-
Wehrl, A.1
-
53
-
-
0035981725
-
Counterexample to an additivity conjecture for output purity of quantum channels
-
Werner, R. F., Holevo, A. S., Counterexample to an additivity conjecture for output purity of quantum channels. J. Math. Phys. 43 (2002), 4353.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 4353
-
-
Werner, R.F.1
Holevo, A.S.2
|