Vidick, Thomas \(\mathrm{MIP}^* = \mathrm{RE}\): a negative resolution to Connes’ embedding problem and Tsirelson’s problem. (English) Zbl 07821719 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4996-5025 (2023). MSC: 46L10 68Q15 PDFBibTeX XMLCite \textit{T. Vidick}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4996--5025 (2023; Zbl 07821719) Full Text: DOI OA License
Hoefer, Gage; Todorov, Ivan G. Quantum hypergraph homomorphisms and non-local games. (English) Zbl 07800603 Diss. Math. 588, 1-54 (2023). MSC: 47L25 46L07 81R15 PDFBibTeX XMLCite \textit{G. Hoefer} and \textit{I. G. Todorov}, Diss. Math. 588, 1--54 (2023; Zbl 07800603) Full Text: DOI arXiv
Paddock, Connor; Russo, Vincent; Silverthorne, Turner; Slofstra, William Arkhipov’s theorem, graph minors, and linear system nonlocal games. (English) Zbl 07777643 Algebr. Comb. 6, No. 4, 1119-1162 (2023). MSC: 81P45 81P13 81P40 05C57 05C83 91A43 PDFBibTeX XMLCite \textit{C. Paddock} et al., Algebr. Comb. 6, No. 4, 1119--1162 (2023; Zbl 07777643) Full Text: DOI arXiv
Yan, Sizhuo; Yang, Jianting; Yu, Tianshi; Zhi, Lihong A characterization of perfect strategies for mirror games. (English) Zbl 07760801 Dickenstein, Alicia (ed.) et al., Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24–27, 2023. New York, NY: Association for Computing Machinery (ACM). 545-554 (2023). MSC: 68W30 PDFBibTeX XMLCite \textit{S. Yan} et al., in: Proceedings of the 48th international symposium on symbolic and algebraic computation, ISSAC, Tromsø, Norway, July 24--27, 2023. New York, NY: Association for Computing Machinery (ACM). 545--554 (2023; Zbl 07760801) Full Text: DOI arXiv
Abbasi, Paria; Klingler, Andreas; Netzer, Tim Approximate completely positive semidefinite factorizations and their ranks. (English) Zbl 1527.15008 Linear Algebra Appl. 677, 323-336 (2023). MSC: 15A23 15B48 65F55 PDFBibTeX XMLCite \textit{P. Abbasi} et al., Linear Algebra Appl. 677, 323--336 (2023; Zbl 1527.15008) Full Text: DOI arXiv
Brannan, Michael; Ganesan, Priyanga; Harris, Samuel J. The quantum-to-classical graph homomorphism game. (English) Zbl 1508.91108 J. Math. Phys. 63, No. 11, Article ID 112204, 34 p. (2022). MSC: 91A81 81P45 PDFBibTeX XMLCite \textit{M. Brannan} et al., J. Math. Phys. 63, No. 11, Article ID 112204, 34 p. (2022; Zbl 1508.91108) Full Text: DOI arXiv
Vidick, Thomas Almost synchronous quantum correlations. (English) Zbl 1507.81049 J. Math. Phys. 63, No. 2, Article ID 022201, 17 p. (2022). MSC: 81P40 81P45 91A05 91A10 81P68 PDFBibTeX XMLCite \textit{T. Vidick}, J. Math. Phys. 63, No. 2, Article ID 022201, 17 p. (2022; Zbl 1507.81049) Full Text: DOI arXiv
Araiza, Roy; Russell, Travis; Tomforde, Mark A universal representation for quantum commuting correlations. (English) Zbl 1513.81005 Ann. Henri Poincaré 23, No. 12, 4489-4520 (2022). MSC: 81P40 46L07 PDFBibTeX XMLCite \textit{R. Araiza} et al., Ann. Henri Poincaré 23, No. 12, 4489--4520 (2022; Zbl 1513.81005) Full Text: DOI arXiv
Goldbring, Isaac The Connes embedding problem: a guided tour. (English) Zbl 1505.46051 Bull. Am. Math. Soc., New Ser. 59, No. 4, 503-560 (2022). MSC: 46L10 46L06 81P45 03C66 PDFBibTeX XMLCite \textit{I. Goldbring}, Bull. Am. Math. Soc., New Ser. 59, No. 4, 503--560 (2022; Zbl 1505.46051) Full Text: DOI arXiv
Saldi, Naci; Yüksel, Serdar Geometry of information structures, strategic measures and associated stochastic control topologies. (English) Zbl 1498.93785 Probab. Surv. 19, 450-532 (2022). MSC: 93E20 93A14 60B10 93-02 PDFBibTeX XMLCite \textit{N. Saldi} and \textit{S. Yüksel}, Probab. Surv. 19, 450--532 (2022; Zbl 1498.93785) Full Text: DOI arXiv Link
Bavarian, Mohammad; Vidick, Thomas; Yuen, Henry Anchored parallel repetition for nonlocal games. (English) Zbl 1483.68136 SIAM J. Comput. 51, No. 2, 214-253 (2022). MSC: 68Q12 68Q17 81P45 81P68 91A05 PDFBibTeX XMLCite \textit{M. Bavarian} et al., SIAM J. Comput. 51, No. 2, 214--253 (2022; Zbl 1483.68136) Full Text: DOI arXiv
Fawzi, Hamza (ed.); Fawzi, Omar (ed.); Harrow, Aram (ed.); Laurent, Monique (ed.) Geometry and optimization in quantum information. Abstracts from the workshop held October 3–9, 2021 (hybrid meeting). (English) Zbl 1506.00069 Oberwolfach Rep. 18, No. 4, 2665-2720 (2021). MSC: 00B05 00B25 81-06 81P40 81P45 14Q30 90C22 14P99 46L05 PDFBibTeX XMLCite \textit{H. Fawzi} (ed.) et al., Oberwolfach Rep. 18, No. 4, 2665--2720 (2021; Zbl 1506.00069) Full Text: DOI
Qin, Minglong; Yao, Penghui Nonlocal games with noisy maximally entangled states are decidable. (English) Zbl 1513.81009 SIAM J. Comput. 50, No. 6, 1800-1891 (2021). MSC: 81P40 68Q12 81P68 91A44 PDFBibTeX XMLCite \textit{M. Qin} and \textit{P. Yao}, SIAM J. Comput. 50, No. 6, 1800--1891 (2021; Zbl 1513.81009) Full Text: DOI arXiv
Gao, Li; Harris, Samuel J.; Junge, Marius Quantum teleportation and super-dense coding in operator algebras. (English) Zbl 1490.81042 Int. Math. Res. Not. 2021, No. 12, 9146-9179 (2021). MSC: 81P45 81P40 46L10 16E40 PDFBibTeX XMLCite \textit{L. Gao} et al., Int. Math. Res. Not. 2021, No. 12, 9146--9179 (2021; Zbl 1490.81042) Full Text: DOI arXiv
Yuen, Henry Einstein meets Turing: the computability of nonlocal games. (English) Zbl 07495194 De Mol, Liesbeth (ed.) et al., Connecting with computability. 17th conference on computability in Europe, CiE 2021, virtual event, Ghent, Belgium, July 5–9, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12813, 483-493 (2021). MSC: 68Qxx PDFBibTeX XMLCite \textit{H. Yuen}, Lect. Notes Comput. Sci. 12813, 483--493 (2021; Zbl 07495194) Full Text: DOI
Harris, Samuel J. Bipartite matrix-valued tensor product correlations that are not finitely representable. (English) Zbl 1461.81009 Commun. Math. Phys. 382, No. 2, 709-720 (2021). MSC: 81P40 81P42 47A80 46L10 46L05 PDFBibTeX XMLCite \textit{S. J. Harris}, Commun. Math. Phys. 382, No. 2, 709--720 (2021; Zbl 1461.81009) Full Text: DOI arXiv
Paulsen, Vern I.; Rahaman, Mizanur Bisynchronous games and factorizable maps. (English) Zbl 1457.91108 Ann. Henri Poincaré 22, No. 2, 593-614 (2021). MSC: 91A43 91A05 05C60 05C57 PDFBibTeX XMLCite \textit{V. I. Paulsen} and \textit{M. Rahaman}, Ann. Henri Poincaré 22, No. 2, 593--614 (2021; Zbl 1457.91108) Full Text: DOI arXiv
Qassim, Hammam; Wallman, Joel J. Classical vs quantum satisfiability in linear constraint systems modulo an integer. (English) Zbl 1519.81019 J. Phys. A, Math. Theor. 53, No. 38, Article ID 385304, 16 p. (2020). MSC: 81P13 81P05 PDFBibTeX XMLCite \textit{H. Qassim} and \textit{J. J. Wallman}, J. Phys. A, Math. Theor. 53, No. 38, Article ID 385304, 16 p. (2020; Zbl 1519.81019) Full Text: DOI arXiv
Prakash, Anupam; Varvitsiotis, Antonios Correlation matrices, Clifford algebras, and completely positive semidefinite rank. (English) Zbl 1457.15024 Linear Multilinear Algebra 68, No. 5, 1039-1056 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 15A66 15A67 15B48 15B57 81P40 PDFBibTeX XMLCite \textit{A. Prakash} and \textit{A. Varvitsiotis}, Linear Multilinear Algebra 68, No. 5, 1039--1056 (2020; Zbl 1457.15024) Full Text: DOI arXiv
Li, Ben Exact values of quantum violations in low-dimensional Bell correlation inequalities. (English) Zbl 1447.81038 Linear Algebra Appl. 603, 289-300 (2020). MSC: 81P40 81P05 81P15 81P45 PDFBibTeX XMLCite \textit{B. Li}, Linear Algebra Appl. 603, 289--300 (2020; Zbl 1447.81038) Full Text: DOI arXiv
Russell, Travis B. Geometry of the set of synchronous quantum correlations. (English) Zbl 1443.81010 J. Math. Phys. 61, No. 5, 052201, 23 p. (2020). MSC: 81P40 81P15 81P42 81P45 PDFBibTeX XMLCite \textit{T. B. Russell}, J. Math. Phys. 61, No. 5, 052201, 23 p. (2020; Zbl 1443.81010) Full Text: DOI arXiv
de las Cuevas, Gemma; Netzer, Tim Mixed states in one spatial dimension: decompositions and correspondence with nonnegative matrices. (English) Zbl 1443.81006 J. Math. Phys. 61, No. 4, 041901, 25 p. (2020). MSC: 81P16 81P42 PDFBibTeX XMLCite \textit{G. de las Cuevas} and \textit{T. Netzer}, J. Math. Phys. 61, No. 4, 041901, 25 p. (2020; Zbl 1443.81006) Full Text: DOI arXiv
Musat, Magdalena; Rørdam, Mikael Non-closure of quantum correlation matrices and factorizable channels that require infinite dimensional ancilla (With an appendix by Narutaka Ozawa). (English) Zbl 1445.81008 Commun. Math. Phys. 375, No. 3, 1761-1776 (2020). Reviewer: Jarosław Miszczak (Gliwice) MSC: 81P40 81P47 94A40 81P15 PDFBibTeX XMLCite \textit{M. Musat} and \textit{M. Rørdam}, Commun. Math. Phys. 375, No. 3, 1761--1776 (2020; Zbl 1445.81008) Full Text: DOI arXiv
Lupini, Martino; Mančinska, L.; Paulsen, V. I.; Roberson, D. E.; Scarpa, G.; Severini, S.; Todorov, I. G.; Winter, A. Perfect strategies for non-local games. (English) Zbl 1436.91021 Math. Phys. Anal. Geom. 23, No. 1, Paper No. 7, 31 p. (2020). MSC: 91A81 PDFBibTeX XMLCite \textit{M. Lupini} et al., Math. Phys. Anal. Geom. 23, No. 1, Paper No. 7, 31 p. (2020; Zbl 1436.91021) Full Text: DOI arXiv Link
Slofstra, William Tsirelson’s problem and an embedding theorem for groups arising from non-local games. (English) Zbl 1480.20083 J. Am. Math. Soc. 33, No. 1, 1-56 (2020). MSC: 20F06 20F10 20F05 81P40 81P13 81R15 PDFBibTeX XMLCite \textit{W. Slofstra}, J. Am. Math. Soc. 33, No. 1, 1--56 (2020; Zbl 1480.20083) Full Text: DOI arXiv
Gribling, Sander; de Laat, David; Laurent, Monique Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. (English) Zbl 07118503 Found. Comput. Math. 19, No. 5, 1013-1070 (2019). MSC: 65-XX 68-XX 90C22 15A23 PDFBibTeX XMLCite \textit{S. Gribling} et al., Found. Comput. Math. 19, No. 5, 1013--1070 (2019; Zbl 07118503) Full Text: DOI arXiv
Atserias, Albert; Mančinska, Laura; Roberson, David E.; Šámal, Robert; Severini, Simone; Varvitsiotis, Antonios Quantum and non-signalling graph isomorphisms. (English) Zbl 1414.05197 J. Comb. Theory, Ser. B 136, 289-328 (2019). MSC: 05C60 05C57 91A43 PDFBibTeX XMLCite \textit{A. Atserias} et al., J. Comb. Theory, Ser. B 136, 289--328 (2019; Zbl 1414.05197) Full Text: DOI arXiv Link
Dykema, Ken; Paulsen, Vern I.; Prakash, Jitendra Non-closure of the set of quantum correlations via graphs. (English) Zbl 1408.81008 Commun. Math. Phys. 365, No. 3, 1125-1142 (2019). MSC: 81P40 81P68 05C90 PDFBibTeX XMLCite \textit{K. Dykema} et al., Commun. Math. Phys. 365, No. 3, 1125--1142 (2019; Zbl 1408.81008) Full Text: DOI arXiv
Harris, Samuel J.; Paulsen, Vern I. Unitary correlation sets. (English) Zbl 06816338 Integral Equations Oper. Theory 89, No. 1, 125-149 (2017). MSC: 47L25 46L99 PDFBibTeX XMLCite \textit{S. J. Harris} and \textit{V. I. Paulsen}, Integral Equations Oper. Theory 89, No. 1, 125--149 (2017; Zbl 06816338) Full Text: DOI arXiv