-
1
-
-
33748608655
-
Quantum coding
-
B. Schumacher 1995 Quantum coding Phys. Rev. A 51 2738 2747
-
(1995)
Phys. Rev. A
, vol.51
, pp. 2738-2747
-
-
Schumacher, B.1
-
2
-
-
0000142373
-
A new proof of the quantum noiseless coding theorem
-
R. Jozsa B. Schumacher 1994 A new proof of the quantum noiseless coding theorem J. Mod. Opt. 41 2343 2349
-
(1994)
J. Mod. Opt.
, vol.41
, pp. 2343-2349
-
-
Jozsa, R.1
Schumacher, B.2
-
5
-
-
0002455537
-
Information theoretical aspects of quantum measurements
-
Holevo, A.S.: Information theoretical aspects of quantum measurements. Probl. Info. Transm. (USSR), 9(2), 31-42 (1973).
-
(1973)
Probl. Info. Transm. (USSR)
, vol.9
, Issue.2
, pp. 31-42
-
-
Holevo, A.S.1
-
6
-
-
0002863426
-
-
Translation
-
Translation: Probl. Info. Transm. 9, 177-183 (1973)
-
(1973)
Probl. Info. Transm.
, vol.9
, pp. 177-183
-
-
-
8
-
-
0031675590
-
The capacity of the quantum channel with general signal states
-
A.S. Holevo 1998 The capacity of the quantum channel with general signal states IEEE Trans. Inf. Theory 44 269 273
-
(1998)
IEEE Trans. Inf. Theory
, vol.44
, pp. 269-273
-
-
Holevo, A.S.1
-
9
-
-
0000712477
-
Sending classical information via noisy quantum channels
-
B. Schumacher M.D. Westmoreland 1997 Sending classical information via noisy quantum channels Phys. Rev. A 56 131 138
-
(1997)
Phys. Rev. A
, vol.56
, pp. 131-138
-
-
Schumacher, B.1
Westmoreland, M.D.2
-
10
-
-
2442437901
-
Equivalence of additivity questions in quantum information theory
-
P.W. Shor 2004 Equivalence of additivity questions in quantum information theory Commun. Math. Phys. 246 453 472
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 453-472
-
-
Shor, P.W.1
-
11
-
-
0242694947
-
Strong superadditivity of the entanglement of formation follows from its additivity
-
3
-
A.A. Pomeransky 2003 Strong superadditivity of the entanglement of formation follows from its additivity Physical Review A 68 3 032317
-
(2003)
Physical Review A
, vol.68
, pp. 032317
-
-
Pomeransky, A.A.1
-
12
-
-
2442477562
-
On strong superadditivity of the entanglement of formation
-
K.M.R. Audenaert S.L. Braunstein 2004 On strong superadditivity of the entanglement of formation Commun. Math. Phys. 246 443 452
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 443-452
-
-
Audenaert, K.M.R.1
Braunstein, S.L.2
-
13
-
-
2442534083
-
Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
-
K. Matsumoto T. Shimono A. Winter 2004 Remarks on additivity of the Holevo channel capacity and of the entanglement of formation Commun. Math. Phys. 246 427 442
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 427-442
-
-
Matsumoto, K.1
Shimono, T.2
Winter, A.3
-
15
-
-
0035823470
-
The asymptotic entanglement cost of preparing a quantum state
-
P.M. Hayden M. Horodecki B.M. Terhal 2001 The asymptotic entanglement cost of preparing a quantum state J. Phys. A: Math. Gen. 34 6891 6898
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 6891-6898
-
-
Hayden, P.M.1
Horodecki, M.2
Terhal, B.M.3
-
16
-
-
0037042988
-
Entanglement cost of bipartite mixed states
-
2
-
G. Vidal W. Dür J.I. Cirac 2002 Entanglement cost of bipartite mixed states Phys. Rev. Lett. 89 2 027901
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 027901
-
-
Vidal, G.1
Dür, W.2
Cirac, J.I.3
-
17
-
-
2142649149
-
Entanglement cost of antisymmetric states and additivity of capacity of some quantum channels
-
K. Matsumoto F. Yura 2004 Entanglement cost of antisymmetric states and additivity of capacity of some quantum channels J. Phys. A: Math. Gen. 37 L167 L171
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
-
-
Matsumoto, K.1
Yura, F.2
-
18
-
-
0035679286
-
Entanglement measures under symmetry
-
6
-
K.G.H. Vollbrecht R.F. Werner 2001 Entanglement measures under symmetry Phys. Rev. A 64 6 062307
-
(2001)
Phys. Rev. A
, vol.64
, pp. 062307
-
-
Vollbrecht, K.G.H.1
Werner, R.F.2
-
19
-
-
0035089746
-
Minimal entropy of states emerging from noisy quantum channels
-
1
-
C. King M.B. Ruskai 2001 Minimal entropy of states emerging from noisy quantum channels IEEE Trans. Inf. Th. 47 1 192 209
-
(2001)
IEEE Trans. Inf. Th.
, vol.47
, pp. 192-209
-
-
King, C.1
Ruskai, M.B.2
-
20
-
-
0035483422
-
Numerical experiments on the capacity of quantum channel with entangled input states
-
A10
-
S. Osawa H. Nagaoka 2001 Numerical experiments on the capacity of quantum channel with entangled input states IEICE Trans. Fund. Elect., Commun. and Comp. Sci. E84 A10 2583 2590
-
(2001)
IEICE Trans. Fund. Elect., Commun. and Comp. Sci.
, vol.84
, pp. 2583-2590
-
-
Osawa, S.1
Nagaoka, H.2
-
23
-
-
0035981679
-
Additivity for unital qubit channels
-
10
-
C. King 2002 Additivity for unital qubit channels J. Math. Phys. 43 10 4641 4643
-
(2002)
J. Math. Phys.
, vol.43
, pp. 4641-4643
-
-
King, C.1
-
24
-
-
0037100577
-
Additivity of the capacity of depolarizing channels
-
A. Fujiwara T. Hashizumé 2002 Additivity of the capacity of depolarizing channels Phys. Lett. A 299 469 475
-
(2002)
Phys. Lett. A
, vol.299
, pp. 469-475
-
-
Fujiwara, A.1
Hashizumé, T.2
-
25
-
-
0037271821
-
The capacity of the quantum depolarizing channel
-
1
-
C. King 2003 The capacity of the quantum depolarizing channel IEEE Trans. Inf. Th. 49 1 221 229
-
(2003)
IEEE Trans. Inf. Th.
, vol.49
, pp. 221-229
-
-
King, C.1
-
26
-
-
0347988394
-
Quantum coding theorems
-
A.S. Holevo 1998 Quantum coding theorems Russ. Math. Surv. 53 1295 1331
-
(1998)
Russ. Math. Surv.
, vol.53
, pp. 1295-1331
-
-
Holevo, A.S.1
-
28
-
-
0035981722
-
Additivity of the classical capacity of entanglement-breaking quantum channels
-
P.W. Shor 2002 Additivity of the classical capacity of entanglement-breaking quantum channels J. Math. Phys. 43 4334 4340
-
(2002)
J. Math. Phys.
, vol.43
, pp. 4334-4340
-
-
Shor, P.W.1
-
29
-
-
17744393885
-
The capacity of a quantum channel for simultaneous transmission of classical and quantum information
-
I. Devetak P.W. Shor 2005 The capacity of a quantum channel for simultaneous transmission of classical and quantum information Commun. Math. Phys. 256 287 303
-
(2005)
Commun. Math. Phys.
, vol.256
, pp. 287-303
-
-
Devetak, I.1
Shor, P.W.2
-
30
-
-
35548937371
-
Properties of conjugate channels with applications to additivity and multiplicativity
-
to appear
-
King, C., Matsumoto, K., Nathanson, M., Ruskai, M.B.: Properties of conjugate channels with applications to additivity and multiplicativity. http://arxiv.org/list/:quant-ph/0509126, 2005., to appear in special issue of Markov processes and Related Fields in memory of J.F. leuis
-
(2005)
Special Issue of Markov Processes and Related Fields in Memory of J.F. Leuis
-
-
King, C.1
Matsumoto, K.2
Nathanson, M.3
Ruskai, M.B.4
-
31
-
-
1942443903
-
Holevo-Schumacher-Westmoreland channel capacity for a class of qudit unital channels
-
2
-
J. Cortese 2004 Holevo-Schumacher-Westmoreland channel capacity for a class of qudit unital channels Phys. Rev. A 69 2 022302
-
(2004)
Phys. Rev. A
, vol.69
, pp. 022302
-
-
Cortese, J.1
-
33
-
-
27644515102
-
Extending additivity from symmetric to asymmetric channels
-
M. Fukuda 2005 Extending additivity from symmetric to asymmetric channels J. Phys. A: Math. Gen. 38 L753 L758
-
(2005)
J. Phys. A: Math. Gen.
, vol.38
-
-
Fukuda, M.1
-
35
-
-
84878045937
-
The additivity problem in quantum information theory
-
Zurich:Publ. EMS
-
Holevo, A.S.: The additivity problem in quantum information theory. In: Proceedings of the International Congress of Mathematicians, (Madrid, Spain, 2006), Zurich:Publ. EMS, 2007, pp. 999-1018
-
(2007)
Proceedings of the International Congress of Mathematicians, (Madrid, Spain, 2006)
, pp. 999-1018
-
-
Holevo, A.S.1
-
36
-
-
14844337524
-
Comments on multiplicativity of maximal p-norms when p = 2
-
C. King M.B. Ruskai 2004 Comments on multiplicativity of maximal p-norms when p = 2 Quantum Inf. and Comput. 4 500 512
-
(2004)
Quantum Inf. and Comput.
, vol.4
, pp. 500-512
-
-
King, C.1
Ruskai, M.B.2
-
38
-
-
17444367862
-
Multiplicativity of maximal output purities of Gaussian channels under Gaussian inputs
-
1
-
A. Serafini J. Eisert M.M. Wolf 2005 Multiplicativity of maximal output purities of Gaussian channels under Gaussian inputs Phys. Rev. A 71 1 012320
-
(2005)
Phys. Rev. A
, vol.71
, pp. 012320
-
-
Serafini, A.1
Eisert, J.2
Wolf, M.M.3
-
39
-
-
4043080685
-
Additivity properties of a Gaussian channel
-
V. Giovannetti S. Lloyd 2004 Additivity properties of a Gaussian channel Phys. Rev. A 69 062307
-
(2004)
Phys. Rev. A
, vol.69
, pp. 062307
-
-
Giovannetti, V.1
Lloyd, S.2
-
40
-
-
33745606948
-
Multiplicativity of completely bounded p-norms implies a new additivity result
-
I. Devetak M. Junge C. King M.B. Ruskai 2006 Multiplicativity of completely bounded p-norms implies a new additivity result Commun. Math. Phys. 266 37 63
-
(2006)
Commun. Math. Phys.
, vol.266
, pp. 37-63
-
-
Devetak, I.1
Junge, M.2
King, C.3
Ruskai, M.B.4
-
42
-
-
0035981725
-
Counterexample to an additivity conjecture for output purity of quantum channels
-
R.F. Werner A.S. Holevo 2002 Counterexample to an additivity conjecture for output purity of quantum channels J. Math. Phys. 43 4353 4357
-
(2002)
J. Math. Phys.
, vol.43
, pp. 4353-4357
-
-
Werner, R.F.1
Holevo, A.S.2
-
43
-
-
23944486465
-
Note on multiple additivity of minimal Renyi entropy output of the Werner-Holevo channels
-
4
-
R. Alicki M. Fannes 2005 Note on multiple additivity of minimal Renyi entropy output of the Werner-Holevo channels Open Syst. Inf. Dyn. 11 4 339 342
-
(2005)
Open Syst. Inf. Dyn.
, vol.11
, pp. 339-342
-
-
Alicki, R.1
Fannes, M.2
-
45
-
-
17444397086
-
Conditions for multiplicativity of maximal p -norms of channels for fixed integer p
-
V. Giovannetti S. Lloyd M.B. Ruskai 2005 Conditions for multiplicativity of maximal p -norms of channels for fixed integer p J. Math. Phys. 46 042105
-
(2005)
J. Math. Phys.
, vol.46
, pp. 042105
-
-
Giovannetti, V.1
Lloyd, S.2
Ruskai, M.B.3
-
53
-
-
0001436319
-
A Limit Theorem for the Norm of Random Matrices
-
2
-
S. Geman 1980 A Limit Theorem for the Norm of Random Matrices Ann. Prob. 8 2 252 261
-
(1980)
Ann. Prob.
, vol.8
, pp. 252-261
-
-
Geman, S.1
-
54
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
2
-
I.M. Johnstone 2001 On the distribution of the largest eigenvalue in principal components analysis Ann. Stat. 29 2 295 327
-
(2001)
Ann. Stat.
, vol.29
, pp. 295-327
-
-
Johnstone, I.M.1
-
55
-
-
0012070851
-
Local Operator Theory, Random Matrices and Banach Spaces
-
Johnson W.B., Lindenstrauss J. eds. Chap. 8, London:Elsevier
-
Davidson, K.R., Szarek, S.J.: Local Operator Theory, Random Matrices and Banach Spaces. In: Johnson W.B., Lindenstrauss J. eds., Handbook of the Geometry of Banach Spaces, Vol. I, Chap. 8, London:Elsevier, 2001, pp. 317-366
-
(2001)
Handbook of the Geometry of Banach Spaces
, vol.1
, pp. 317-366
-
-
Davidson, K.R.1
Szarek, S.J.2
-
56
-
-
0012942540
-
The concentration of measure phenomenon
-
Providence, RI: American Mathematical Society
-
Ledoux, M.: The concentration of measure phenomenon, Vol. 89 of Mathematical Surveys and Monographs. Providence, RI: American Mathematical Society, 2001
-
(2001)
Mathematical Surveys and Monographs
, vol.89
-
-
Ledoux, M.1
-
57
-
-
0141707865
-
Maximal p-norms of entanglement breaking channels
-
2
-
C. King 2003 Maximal p-norms of entanglement breaking channels Quantum Inf. and Comp. 3 2 186 190
-
(2003)
Quantum Inf. and Comp.
, vol.3
, pp. 186-190
-
-
King, C.1
-
58
-
-
21244443458
-
Classical information capacity of a class of quantum channels
-
M.M. Wolf J. Eisert 2005 Classical information capacity of a class of quantum channels New J. Phys. 7 93
-
(2005)
New J. Phys.
, vol.7
, pp. 93
-
-
Wolf, M.M.1
Eisert, J.2
-
59
-
-
53349164131
-
Counterexamples to additivity of minimum output p-Rényi entropy for p close to 0
-
doi: 10.1007/s00220-008-0625-z
-
Cubitt, T., Harrow, A.W., Leung, D., Montanaro, A., Winter, A.: Counterexamples to additivity of minimum output p-Rényi entropy for p close to 0. http://arxiv.org/abs/:0712.3628v2, 2007, Commun. Math. Phys. doi: 10.1007/s00220-008-0625-z
-
(2007)
Commun. Math. Phys.
-
-
Cubitt, T.1
Harrow, A.W.2
Leung, D.3
Montanaro, A.4
Winter, A.5
-
60
-
-
35048868371
-
Small pseudo-random families of matrices: Derandomizing approximate quantum encryption
-
LNCS 3122, Berlin-Heidelberg-NewYork: Springer
-
Ambainis, A., Smith, A.: Small pseudo-random families of matrices: Derandomizing approximate quantum encryption. In: Proc. RANDOM, LNCS 3122, Berlin-Heidelberg-NewYork: Springer, 2004, pp. 249-260
-
(2004)
Proc. RANDOM
, pp. 249-260
-
-
Ambainis, A.1
Smith, A.2
-
62
-
-
34548811944
-
Random unitaries give quantum expanders
-
M.B. Hastings 2007 Random unitaries give quantum expanders Phys. Rev. A 76 032315
-
(2007)
Phys. Rev. A
, vol.76
, pp. 032315
-
-
Hastings, M.B.1
-
64
-
-
0344287494
-
Invariant integration over the unitary group
-
S. Aubert C.S. Lam 2003 Invariant integration over the unitary group J. Math. Phys. 44 6112 6131
-
(2003)
J. Math. Phys.
, vol.44
, pp. 6112-6131
-
-
Aubert, S.1
Lam, C.S.2
-
65
-
-
4544230052
-
Invariant and group theoretical integrations over the U(n) group
-
S. Aubert C.S. Lam 2004 Invariant and group theoretical integrations over the U(n) group J. Math. Phys. 45 3019 3039
-
(2004)
J. Math. Phys.
, vol.45
, pp. 3019-3039
-
-
Aubert, S.1
Lam, C.S.2
-
66
-
-
33646530323
-
Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
-
B. Collins P. Śniady 2006 Integration with respect to the Haar measure on unitary, orthogonal and symplectic group Commun. Math. Phys. 264 773 795
-
(2006)
Commun. Math. Phys.
, vol.264
, pp. 773-795
-
-
Collins, B.1
Śniady, P.2
|