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On the Quantum Chromatic Number of a Graph

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-33099-2openalex-snapshot
Algorithms in Real Algebraic Geometry
inferredcites →https://doi.org/10.1007/978-3-662-05355-3openalex-snapshot
Algorithms in Real Algebraic Geometry
inferredcites →https://doi.org/10.1007/s00220-004-1087-6openalex-snapshot
Randomizing Quantum States: Constructions and Applications
inferredcites →https://doi.org/10.1016/s1355-2198(97)85538-4openalex-snapshot
Quantum theory: Concepts and methods
inferredcites →https://doi.org/10.1023/a:1007581027660openalex-snapshot
A General No-Cloning Theorem
inferredcites →https://doi.org/10.1090/s0002-9947-1987-0871675-6openalex-snapshot
Forbidden Intersections
inferredcites →https://doi.org/10.1093/ietfec/e89-a.5.1378openalex-snapshot
A Quantum Protocol to Win the Graph Colouring Game on All Hadamard Graphs
inferredcites →https://doi.org/10.1103/physrevlett.83.1874openalex-snapshot
Cost of Exactly Simulating Quantum Entanglement with Classical Communication
inferredcites →https://doi.org/10.1103/physrevlett.87.167902openalex-snapshot
Quantum Fingerprinting
inferredcites →https://doi.org/10.1109/isit.2002.1023373openalex-snapshot
Pseudo-telepathy, entanglement, and graph colorings
inferredcites →https://doi.org/10.1109/isit.2003.1228474openalex-snapshot
The impossibility of pseudotelepathy without quantum entanglement
inferredcites →https://doi.org/10.1109/tit.1979.1055985openalex-snapshot
On the Shannon capacity of a graph
inferredcites →https://doi.org/10.1119/1.17946openalex-snapshot
Quantum Theory: Concepts and Methods
inferredcites →https://doi.org/10.1137/050639715openalex-snapshot
Coloring an Orthogonality Graph
inferredcites →https://doi.org/10.1137/s0895479802410293openalex-snapshot
On the Digraph of a Unitary Matrix
inferredcites →https://doi.org/10.48550/arxiv.math/0509151openalex-snapshot
Colouring an Orthogonality Graph

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Localisation-Resistant Random Words with Small Alphabets
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Games and Algebras
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Games and Algebras
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Maximally Entangled State in Pseudo-Telepathy Games
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Recent Developments in Quantum Zero-Error Information Theory
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An Annotated Glossary of Graph Theory Parameters, with Conjectures
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Characterization of Binary Constraint System Games
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Zero-error source-channel coding with entanglement
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Quantum Perfect Matchings
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Quantum No-signalling Correlations and Non-local Games
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Sabidussi versus Hedetniemi for three variations of the chromatic number
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Linear conic formulations for two-party correlations and values of nonlocal games
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Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization
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Conic formulations of graph homomorphisms
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Perfect Strategies for Non-Local Games
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Properties of operator systems, corresponding to channels
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Topological bounds on the dimension of orthogonal representations of graphs
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A spectral lower bound on chromatic numbers using p-energy
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Kernelization for orthogonality dimension
inferred← citeshttps://doi.org/10.1016/j.jcta.2019.06.008openalex-snapshot
Spectral lower bounds for the quantum chromatic number of a graph
inferred← citeshttps://doi.org/10.1016/j.jctb.2015.12.009openalex-snapshot
Quantum homomorphisms
inferred← citeshttps://doi.org/10.1016/j.jctb.2018.11.002openalex-snapshot
Quantum and non-signalling graph isomorphisms
inferred← citeshttps://doi.org/10.1016/j.jctb.2025.10.002openalex-snapshot
Quantum advantage and CSP complexity
inferred← citeshttps://doi.org/10.1016/j.jfa.2016.01.010openalex-snapshot
Estimating quantum chromatic numbers
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Homomorphisms of quantum hypergraphs
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Approximating projections by quantum operations
inferred← citeshttps://doi.org/10.1016/j.tcs.2012.12.013openalex-snapshot
Deterministic quantum non-locality and graph colorings
inferred← citeshttps://doi.org/10.1016/j.tcs.2012.12.017openalex-snapshot
Classical, quantum and nonsignalling resources in bipartite games
inferred← citeshttps://doi.org/10.1016/j.tcs.2021.09.041openalex-snapshot
Belief-invariant and quantum equilibria in games of incomplete information
inferred← citeshttps://doi.org/10.1063/1.4936751openalex-snapshot
Synchronous correlation matrices and Connes’ embedding conjecture
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A compositional approach to quantum functions
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Quantum sets
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Quantum chromatic number of products of quantum graphs
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Violating the Shannon capacity of metric graphs with entanglement
inferred← citeshttps://doi.org/10.1080/00927872.2021.1890756openalex-snapshot
Quantum multiplicative graph and a type of separate clique number
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Quantum state-independent contextuality requires 13 rays
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Semi-definite programming and quantum information
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Application-level benchmarking of quantum computers using nonlocal game strategies
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Quantum extensions of ordinary maps
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QUANTUM CHROMATIC NUMBERS VIA OPERATOR SYSTEMS
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Converting Contextuality into Nonlocality
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Classical, Quantum and Non-signalling Resources in Bipartite Games
inferred← citeshttps://doi.org/10.1109/tit.2011.2178018openalex-snapshot
Kochen–Specker Sets and the Rank-1 Quantum Chromatic Number
inferred← citeshttps://doi.org/10.1109/tit.2013.2248031openalex-snapshot
New Separations in Zero-Error Channel Capacity Through Projective Kochen–Specker Sets and Quantum Coloring
inferred← citeshttps://doi.org/10.1109/tit.2014.2385080openalex-snapshot
Entanglement-Assisted Zero-Error Source-Channel Coding
inferred← citeshttps://doi.org/10.1109/tit.2022.3176935openalex-snapshot
On a Tracial Version of Haemers Bound
inferred← citeshttps://doi.org/10.1137/14097865xopenalex-snapshot
Conic Approach to Quantum Graph Parameters Using Linear Optimization Over the Completely Positive Semidefinite Cone
inferred← citeshttps://doi.org/10.1137/15m1037731openalex-snapshot
Quantum Bilinear Optimization
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Classical verification of quantum proofs
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Compression of quantum multi-prover interactive proofs
inferred← citeshttps://doi.org/10.1145/3661814.3662118openalex-snapshot
Quantum advantage and CSP complexity
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Faster-than-light coordination for networked systems with quantum non-local games
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Combinatorial and geometric dualities in graph homomorphism optimization problems
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An introduction to quantum: computing, communication complexity protocols, nonlocality and graph parameters
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Entanglement and Interference Resources in Quantum Computation and Communication
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Satisfiability problems and algebras of Boolean constraint system games
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Minimum vector rank and complement critical graphs
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Orthogonal Representations, Projective Rank, and Fractional Minimum Positive Semidefinite Rank: Connections and New Directions
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On the closure of the completely positive semidefinite cone and linear approximations to quantum colorings
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Spectral upper bound on the quantum $k$-independence number of a graph
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Graph-theoretic approach to Bell experiments with low detection efficiency
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A fractional approach to minimum rank and zero forcing
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Optimization Problems over Unit-Distance Representations of Graphs
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Orthogonal Vector Coloring
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Spectral Lower Bounds for the Orthogonal and Projective Ranks of a Graph
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Spectral Lower Bounds for the Quantum Chromatic Number of a Graph – Part II
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Quantum hypergraph homomorphisms and non-local games
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Discrete quantum structures II: Examples
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Effectus of Quantum Probability on Relational Structures
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The (Generalized) Orthogonality Dimension of (Generalized) Kneser Graphs: Bounds and Applications
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Approximating the Orthogonality Dimension of Graphs and Hypergraphs
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Graph Homomorphisms for Quantum Players
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Graph-theoretical Bounds on the Entangled Value of Non-local Games
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Round Elimination in Exact Communication Complexity
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Fully Device-Independent Quantum Key Distribution Using Synchronous Correlations
inferred← citeshttps://doi.org/10.48550/arxiv.1209.2729openalex-snapshot
Characterization of Binary Constraint System Games
inferred← citeshttps://doi.org/10.48550/arxiv.1305.5545openalex-snapshot
Sabidussi Versus Hedetniemi for Three Variations of the Chromatic Number
inferred← citeshttps://doi.org/10.48550/arxiv.1506.07429openalex-snapshot
Deciding the existence of perfect entangled strategies for nonlocal games
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On the orthogonal rank of Cayley graphs and impossibility of quantum round elimination
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Nonlocal games, synchronous correlations, and Bell inequalities
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Spectral lower bounds for the quantum chromatic number of a graph
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Morphisms in categories of nonlocal games
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On Orthogonal Vector Edge Coloring
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Discrete quantum structures
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Nonlocal Games Revisited: A Review of Representation Frameworks from Bell Locality to Quantum Pseudo-Telepathy
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Questions de localisabilité pour le calcul distribué
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