Bell-Kochen-Specker theorem: a proof with \(18\) vectors.
From MaRDI portal
Publication:1967804
DOI10.1016/0375-9601(96)00134-XzbMath1073.81515arXivquant-ph/9706009WikidataQ62116033 ScholiaQ62116033MaRDI QIDQ1967804
Adán Cabello, Guillermo García-Alcaine, José M. Estebaranz
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9706009
Related Items
Noncontextual coloring of orthogonality hypergraphs ⋮ KOCHEN–SPECKER THEOREM AND EXPERIMENTAL TEST ON HIDDEN VARIABLES ⋮ Contextuality, pigeonholes, Cheshire cats, mean kings, and weak values ⋮ HOW MANY QUESTIONS DO YOU NEED TO PROVE THAT UNASKED QUESTIONS HAVE NO ANSWERS? ⋮ A variant of the Kochen-Specker theorem localising value indefiniteness ⋮ How much contextuality? ⋮ Negative probabilities and contextuality ⋮ Possibilities determine the combinatorial structure of probability polytopes ⋮ Unifying hidden-variable problems from quantum mechanics by logics of dependence and independence ⋮ A Kochen-Specker inequality from a SIC ⋮ Minimal distance to approximating noncontextual system as a measure of contextuality ⋮ New Kochen-Specker sets in four dimensions ⋮ Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays ⋮ Modal inferences in science: a tale of two epistemologies ⋮ On the complete description of entangled systems. I: Exploring hidden variables and context communication cost in simulating quantum correlations ⋮ Pentagrams and paradoxes ⋮ Parity proofs of the Kochen-Specker theorem based on the 24 rays of Peres ⋮ Roots and (Re)sources of Value (In)definiteness Versus Contextuality ⋮ Relational hidden variables and non-locality ⋮ The sheaf-theoretic structure of non-locality and contextuality ⋮ A proof of the Kochen–Specker theorem can always be converted to a state-independent noncontextuality inequality ⋮ Impossible colorings and Bell's theorem. ⋮ New variants of the Bell-Kochen-Specker theorem ⋮ Parity proofs of the Kochen-Specker theorem based on the 120-cell ⋮ Non-contextual chocolate balls versus value indefinite quantum cryptography ⋮ Ontological models, preparation contextuality and nonlocality ⋮ Quantum theory and determinism ⋮ Observables have no value: A no-go theorem for position and momentum observables ⋮ Quantum violation of the suppes-zanotti inequalities and ``contextuality ⋮ The logos categorical approach to quantum mechanics. I: Kochen-Specker contextuality and global intensive valuations ⋮ Generalised Kochen-Specker theorem in three dimensions ⋮ Quantum contextuality for a three-level system sans realist model ⋮ A new quantum random number generator certified by value indefiniteness ⋮ Recursive proof of the Bell-Kochen-Specker theorem in any dimension \(n>3\) ⋮ Exhaustive generation of orthomodular lattices with exactly one nonquantum state ⋮ Quantum value indefiniteness ⋮ Parity proofs of the Bell-Kochen-Specker theorem based on the 600-cell ⋮ A combinatorial approach to nonlocality and contextuality ⋮ Quantum mechanical effect of path-polarization contextuality for a single photon ⋮ Non-contextuality, finite precision measurement and the Kochen-Specker theorem ⋮ GHZ paradoxes based on an even number of qubits ⋮ Unnamed Item ⋮ Quantum scholasticism: On quantum contexts, counterfactuals, and the absurdities of quantum omniscience ⋮ Axiomatic quantum mechanics and completeness ⋮ QUANTUM KALEIDOSCOPES AND BELL'S THEOREM ⋮ Quantum contextuality of YO-13 rays ⋮ Kochen-Specker Theorem for a Single Qubit using Positive Operator-Valued Measures ⋮ The logos categorical approach to quantum mechanics. II. Quantum superpositions and intensive values ⋮ The problem of quantum correlations and the totalitarian principle ⋮ Indistinguishability and the origins of contextuality in physics ⋮ Quantum contextuality implies a logic that does not obey the principle of bivalence ⋮ Group-valued measures on the lattice of closed subspaces of a Hilbert space ⋮ New class of 4-dim Kochen–Specker sets ⋮ Various formulations of inequivalent Leggett–Garg inequalities ⋮ Negative probabilities: what are they for? *
Cites Work
- Unnamed Item
- Kochen-Specker theorem for eight-dimensional space
- On bell non-locality without probabilities: More curious geometry
- Two simple proofs of the Kochen-Specker theorem
- On the Problem of Hidden Variables in Quantum Mechanics
- Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
- Quantum theory: concepts and methods
