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It is a fundamental prediction of quantum theory that states of physical systems are described by complex vectors or density operators on a Hilbert space.
Strongly symmetric spectral convex bodies are Jordan algebra state spaces
H. Barnum and J. Hilgert · 1904
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Resource Theory of Contextuality
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Reference frames, superselection rules, and quantum information
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A. Cabello, S. Severini, and A. Winter · 2014
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Anomalous Weak Values Are Proofs of Contextuality
M. F. Pusey · 2014
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Contextuality supplies the ’magic’ for quantum computation
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A Combinatorial Approach to Nonlocality and Contextuality
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Logical pre- and post-selection paradoxes are proofs of contextuality
M. F. Pusey and M. S. Leifer · 2015
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From the Kochen-Specker Theorem to Noncontextuality Inequalities without Assuming Determinism
R. Kunjwal and R. W. Spekkens · 2015
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S. D. Bartlett, T. Rudolph, and R. W. Spekkens · 2007
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Experimentally Testable State-Independent Quantum Contextuality
A. Cabello · 2008
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Negativity and contextuality are equivalent notions of nonclassicality
R. W. Spekkens · 2008
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Approximation of convex sets by polytopes
E. M. Bronstein · 2008
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Preparation Contextuality Powers Parity-Oblivious Multiplexing
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Relaxed uncertainty relations and information processing
G. ver Steeg and S. Wehner · 2009
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The lesson of causal discovery algorithms for quantum correlations: causal explanations of Bell-inequality violations require fine-tuning
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Contextuality beyond the Kochen-Specker theorem
R. Kunjwal · 2016
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An experimental test of noncontextuality without unphysical idealizations
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Bell correlations in a bose-einstein condensate
R. Schmied, J.-D. Bancal, B Allard, M Fadel, V Scarani, P Treutlein, and N. Sangouard · 2016
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Single-photon test of hyper-complex quantum theories using a metamaterial
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Entanglement is Necessary for Emergent Classicality in All Physical Theories
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Contextuality as a Resource for Models of Quantum Computation with Qubits
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General resource theories in quantum mechanics and beyond: Operational characterization via discrimination tasks
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Composites and Categories of Euclidean Jordan Algebras
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