19 research outputs found
Recursive proof of the Bell-Kochen-Specker theorem in any dimension
We present a method to obtain sets of vectors proving the Bell-Kochen-Specker
theorem in dimension from a similar set in dimension (). As an application of the method we find the smallest proofs known in
dimension five (29 vectors), six (31) and seven (34), and different sets
matching the current record (36) in dimension eight.Comment: LaTeX, 7 page
Bell-Kochen-Specker theorem: A proof with 18 vectors
We present a ``state-independent'' proof of the Bell-Kochen-Specker theorem
using only 18 four-dimensional vectors, which is a record for this kind of
proof. This set of vectors contains subsets which allow us to develop a
``state-specific'' proof with 10 vectors (also a record) and a
``probabilistic'' proof with 7 vectors which reflects the algebraic structure
of Hardy's nonlocality theorem.Comment: LaTeX, 10 page
Quantum mechanics and elements of reality inferred from joint measurements
The Einstein-Podolsky-Rosen argument on quantum mechanics incompleteness is
formulated in terms of elements of reality inferred from joint (as opposed to
alternative) measurements, in two examples involving entangled states of three
spin-1/2 particles. The same states allow us to obtain proofs of the
incompatibility between quantum mechanics and elements of reality.Comment: LaTeX, 12 page
Proposed experimental tests of the Bell-Kochen-Specker theorem
For a two-particle two-state system, sets of compatible propositions exist
for which quantum mechanics and noncontextual hidden-variable theories make
conflicting predictions for every individual system whatever its quantum state.
This permits a simple all-or-nothing state-independent experimental
verification of the Bell-Kochen-Specker theorem.Comment: LaTeX, 8 page
Carta de Guillermo García Alcaine (Universidad de Madrid) a Pere Pascual adjuntant carta del Dr. N. Dombey (University of Sussex) en anglès comunicant-li l'admissió
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