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We continue the study of the quantum channel version of Shannon's zero-error capacity problem.
The Zero Error Capacity of a Noisy Channel
Claude E. Shannon · 1956
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Reducibility among Combinatorial Problems
Richard M. Karp · 1972
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An Upper Bound for the Shannon Capacity of a Graph
Willem Haemers · 1978
Earlier work this paper cites.
On Some Problems of Lovász Concerning the Shannon Capacity of a Graph
Willem Haemers · 1979
Earlier work this paper cites.
On the Shannon Capacity of a Graph
László Lovász · 1979
Earlier work this paper cites.
On Graphs in which the Shannon Capacity is Unachievable by Finite Product
F. Guo and Y. Watanabe · 1990
Earlier work this paper cites.
Orthogonal representations over finite fields and the chromatic number of graphs
René Peeters · 1996
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On the Complexity of Computing Zero-error and Holevo Capacity of Quantum Channels
Salman Beigi and Peter W. Shor · 2007
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Super-activation of Zero-error Capacity of Noisy Quantum Channels
Runyao Duan · 2009
Earlier work this paper cites.
Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2010
Cited alongside, same era.
Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel
T. S. Cubitt, J. Chen, and A. W. Harrow · 2011
Cited alongside, same era.
A Graph-theoretic Approach to Network Coding
Anna Blasiak · 2013
Cited alongside, same era.
Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
Runyao Duan, Simone Severini, and Andreas Winter · 2013
Cited alongside, same era.
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
D.A. Cox, J. Little, and D. O’Shea · 2015
Cited alongside, same era.
Lovász Theta Type Norms and Operator Systems
Carlos M. Ortiz and Vern I. Paulsen · 2015
A “Quantum” Ramsey Theorem for Operator Systems
Nik Weaver · 2017
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Complexity and Capacity Bounds for Quantum Channels
R. H. Levene, V. I. Paulsen, and I. G. Todorov · 2018
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Quantum Asymptotic Spectra of Graphs and Non-commutative Graphs, and Quantum Shannon Capacities
Yinan Li and Jeroen Zuiddam · 2018
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The Theory of Quantum Information
John Watrous · 2018
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Separation Between Quantum Lovász Number and Entanglement-Assisted Zero-Error Classical Capacity
X. Wang and R. Duan · 2018
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On a Fractional Version of Haemers’ Bound
B. Bukh and C. Cox · 2019
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Cited alongside, same era.
Quantum Homomorphisms
Laura Mančinska and David E. Roberson · 2016
Cited alongside, same era.
Quantum Zero-Error Source-Channel Coding and Non-Commutative Graph Theory
Dan Stahlke · 2016
Cited alongside, same era.
Orthogonal Representations, Projective Rank, and Fractional Minimum Positive Semidefinite Rank: Connections and New Directions
Leslie Hogben, Kevin F. Palmowski, David E. Roberson, and Simone Severini · 2017
Cited alongside, same era.
Sandwich Theorems and Capacity Bounds for Non-commutative Graphs
Gareth Boreland, Ivan G. Todorov, and Andreas Winter · 2019
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New lower bound on the Shannon capacity of C7 from circular graphs
Sven Polak and Alexander Schrijver · 2019
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The “Quantum” Turan Problem for Operator Systems
Nik Weaver · 2019
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