Fetching the paper…
Reading the bibliography…
We study the quantum channel version of Shannon's zero-error capacity problem.
C. E. Shannon, “A mathematical theory of communication”, Bell Syst. Tech. J. 27
1948
Earlier work this paper cites.
I. Kaplansky, “Modules over operator algebras”, Amer. J. Math. 75
1953
Earlier work this paper cites.
C. E. Shannon, “The zero-error capacity of a noisy channel”, IRE Trans. Inform. Theory, IT-2
1956
Earlier work this paper cites.
M.-D. Choi, “A Schwarz inequality for positive linear maps on C ∗ -algebras”, Illinois J. Math. 18
1974
Earlier work this paper cites.
W. Haemers, “On Some Problems of Lovbz Concerning the Shannon Capacity of a Graph”, IEEE Trans. Inf. Theory 25
1978
Earlier work this paper cites.
L. Lovász, “On the Shannon Capacity of a Graph”, IEEE Trans. Inf. Theory 25
1979
Earlier work this paper cites.
I. Csiszár, J. Körner, Information Theory: Coding Theorems for Discrete Memoryless Systems , Academic Press, New York, 1982
1982
Earlier work this paper cites.
F. Guo, Y. Watanabe, “On graphs in which the Shannon capacity is unachievable by finite product”, IEEE Trans. Inf. Theory 36
1990
Earlier work this paper cites.
A. Connes, Noncommutative Geometry , Academic Press, 1994
1994
Earlier work this paper cites.
D. Knuth, “The Sandwich Theorem”, Electr. J. Comb. 1
1994
Earlier work this paper cites.
E. C. Lance, Hilbert C ∗ -Modules: A toolkit for operator algebraists , LMS Lecture Notes Series 210, Cambridge University Press, Cambridge, 1995
1995
Earlier work this paper cites.
L. Vandenberghe, S. Boyd, “Semidefinite Programming”, SIAM Review 38
1996
Cited alongside, same era.
E. Knill, R. Laflamme, “Theory of quantum error-correcting codes”, Phys. Rev. A 55
1997
Cited alongside, same era.
N. Alon, “The Shannon capacity of a union”, Combinatorica 18
1998
Cited alongside, same era.
J. Körner, A. Orlitsky, “Zero-Error Information Theory”, IEEE Trans. Inf. Theory 44
1998
Cited alongside, same era.
E. G. Effros, Z.-J. Ruan, Operator Spaces , Oxford University Press, Oxford, New York, 2000
2000
Cited alongside, same era.
T. Filk, “ConnesÕ Distance Function for Commutative and Noncommutative Graphs”, Int. J. Theor. Phys. 39
2000
Cited alongside, same era.
R. Cleve, W, Slofstra, F. Unger, S. Upadhyay, “Strong Parallel Repetition Theorem for Quantum XOR Proof Systems”, arXiv:quant-ph/0608146
2006
Later among the works it cites.
R. A. C. Medeiros, R. Alleaume, G. Cohen, F. M. de Assis, “Zero-error capacity of quantum channels and noiseless subsystems”, VI Int. Telecommunications Symposium (ITS), 3-6 Sept 2006, Fortaleza CE, Brazil (2006); R. A. C. Medeiros, R. Alleaume, G. Cohen, F. M. de Assis, “Quantum states characterization for the zero-error capacity”, arXiv:quant-ph/0611042
2006
Later among the works it cites.
S. Beigi, P. W. Shor, “On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum Channels”, arXiv[quant-ph]:0709.2090
2007
Later among the works it cites.
R. Duan, Y. Shi, “Entanglement between Two Uses of a Noisy Multipartite Quantum Channel Enables Perfect Transmission of Classical Information”, Phys. Rev. Lett. 101
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
C. H. Bennett, P. W. Shor, J. A. Smolin, A. V. Thapliyal, “Entanglement-assisted classical capacity of noisy quantum channels”, Phys. Rev. Lett. 83
2002
Cited alongside, same era.
W. van Dam, P. Hayden, “Rényi-entropic bounds on quantum communication”, arXiv:quant-ph/
2002
Cited alongside, same era.
V. Paulsen, Completely Bounded Maps and Operator Algebras , Cambridge Studies in Advanced Mathematics 78
2003
Cited alongside, same era.
J. Barrett, N. Linden, S. Massar, S. Pironio, S. Popescu, D. Roberts, “Nonlocal correlations as an information-theoretic resource”, Phys. Rev. A 71
2005
Cited alongside, same era.
N. Alon, E. Lubetzky, “The Shannon Capacity of a Graph and the Independence Number of its Powers”, IEEE Trans. Inf. Theory 52
2006
Cited alongside, same era.
S. Pironio, M. Navascués, A. Acín, “Convergent relaxations of polynomial optimization problems with non-commuting variables”, arXiv[math.OC]:0903.4368
2008
Later among the works it cites.
T. S. Cubitt, J. Chen, A. W. Harrow, “Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel”, arXiv[quant-ph]:0906.2547
2009
Later among the works it cites.
T. S. Cubitt, D. W. Leung, W. Matthews, A. Winter, “Improving zero-error classical communication with entanglement”, arXiv[quant-ph]:0911.5300 (2009)
2009
Later among the works it cites.
T. S. Cubitt, G. Smith, “Super-Duper-Activation of Quantum Zero-Error Capacities”, arXiv [quant-ph]:0912.2737
2009
Later among the works it cites.
R. Duan, “Super-Activation of Zero-Error Capacity of Noisy Quantum Channels”, arXiv[quant-ph]:
2009
Later among the works it cites.
J. Watrous, “Semidefinite programs for completely bounded norms”, arXiv[quant-ph]:0901.4709
2009
Later among the works it cites.
S. Beigi, “Entanglement-assisted zero-error capacity is upper bounded by the Lovász theta function”, arXiv[quant-ph]:1002.2488
2010
Closest in time.