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Bell nonlocality
Bell's 1964 theorem, which states that the predictions of quantum theory cannot be
accounted for by any local theory, represents one of the most profound developments in the …
accounted for by any local theory, represents one of the most profound developments in the …
Tsirelson's problem and Kirchberg's conjecture
Tsirelson's problem asks whether the set of nonlocal quantum correlations with a tensor
product structure for the Hilbert space coincides with the one where only commutativity …
product structure for the Hilbert space coincides with the one where only commutativity …
Mip*= re
Note from the Research Highlights Co-Chairs: A Research Highlights paper appearing in
Communications is usually peer-reviewed prior to publication. The following paper is …
Communications is usually peer-reviewed prior to publication. The following paper is …
The set of quantum correlations is not closed
W Slofstra - Forum of Mathematics, Pi, 2019 - cambridge.org
We construct a linear system nonlocal game which can be played perfectly using a limit of
finite-dimensional quantum strategies, but which cannot be played perfectly on any finite …
finite-dimensional quantum strategies, but which cannot be played perfectly on any finite …
[كتاب][B] Alice and Bob meet Banach
The quest to build a quantum computer is arguably one of the major scientific and
technological challenges of the twenty-first century, and quantum information theory (QIT) …
technological challenges of the twenty-first century, and quantum information theory (QIT) …
A combinatorial approach to nonlocality and contextuality
So far, most of the literature on (quantum) contextuality and the Kochen–Specker theorem
seems either to concern particular examples of contextuality, or be considered as quantum …
seems either to concern particular examples of contextuality, or be considered as quantum …
Device-independent entanglement quantification and related applications
We present a general method to quantify both bipartite and multipartite entanglement in a
device-independent manner, meaning that we put a lower bound on the amount of …
device-independent manner, meaning that we put a lower bound on the amount of …
Tsirelson's problem and an embedding theorem for groups arising from non-local games
W Slofstra - Journal of the American Mathematical Society, 2020 - ams.org
Tsirelson's problem asks whether the commuting operator model for two-party quantum
correlations is equivalent to the tensor-product model. We give a negative answer to this …
correlations is equivalent to the tensor-product model. We give a negative answer to this …
About the Connes embedding conjecture: algebraic approaches
In his celebrated paper in 1976, A. Connes casually remarked that any finite von Neumann
algebra ought to be embedded into an ultraproduct of matrix algebras, which is now known …
algebra ought to be embedded into an ultraproduct of matrix algebras, which is now known …
[كتاب][B] Tensor Products of C*-Algebras and Operator Spaces: The Connes–Kirchberg Problem
G Pisier - 2020 - books.google.com
" These notes are centered around the equivalence of two major open problems: one
formulated by Connes (1976), about traces and ultraproducts of von Neumann algebras, the …
formulated by Connes (1976), about traces and ultraproducts of von Neumann algebras, the …