Self-testing of quantum systems: a review
Self-testing is a method to infer the underlying physics of a quantum experiment in a black
box scenario. As such it represents the strongest form of certification for quantum systems. In …
box scenario. As such it represents the strongest form of certification for quantum systems. In …
Catalysis in quantum information theory
Catalysts open up new reaction pathways that can speed up chemical reactions while not
consuming the catalyst. A similar phenomenon has been discovered in quantum information …
consuming the catalyst. A similar phenomenon has been discovered in quantum information …
Geometry of the set of quantum correlations
It is well known that correlations predicted by quantum mechanics cannot be explained by
any classical (local-realistic) theory. The relative strength of quantum and classical …
any classical (local-realistic) theory. The relative strength of quantum and classical …
[图书][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 …
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 …
Bigalois extensions and the graph isomorphism game
M Brannan, A Chirvasitu, K Eifler, S Harris… - … in Mathematical Physics, 2020 - Springer
We study the graph isomorphism game that arises in quantum information theory. We prove
that the non-commutative algebraic notion of a quantum isomorphism between two graphs is …
that the non-commutative algebraic notion of a quantum isomorphism between two graphs is …
Algebras, synchronous games and chromatic numbers of graphs
W Helton, KP Meyer, VI Paulsen, M Satriano - arXiv preprint arXiv …, 2017 - arxiv.org
We associate to each synchronous game an algebra whose representations determine if the
game has a perfect deterministic strategy, perfect quantum strategy or one of several other …
game has a perfect deterministic strategy, perfect quantum strategy or one of several other …
Non-closure of quantum correlation matrices and factorizable channels that require infinite dimensional ancilla (with an appendix by Narutaka Ozawa)
We show that there exist factorizable quantum channels in each dimension ≥ 11≥ 11
which do not admit a factorization through any finite dimensional von Neumann algebra, and …
which do not admit a factorization through any finite dimensional von Neumann algebra, and …
Distilling nonlocality in quantum correlations
Nonlocality, as established by the seminal Bell's theorem, is considered to be the most
striking feature of correlations present in spacelike separated events. Its practical application …
striking feature of correlations present in spacelike separated events. Its practical application …