Aschieri, Tommaso; Ruba, Błażej; Solovej, Jan Philip \(\mathrm{SU}(2)\)-equivariant quantum channels: semiclassical analysis. (English) Zbl 07963301 Commun. Math. Phys. 405, No. 12, Paper No. 298, 39 p. (2024). Reviewer: Benjamin Cahen (Metz) MSC: 53D50 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garg, Anupam Complementary detector and state preparation error and classicality in the spin-\(j\) Einstein-Podolsky-Rosen-Bohm experiment. (English) Zbl 07962634 Found. Phys. 54, No. 5, Paper No. 71, 36 p. (2024). MSC: 81Sxx 33Cxx 81Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Devra, Amit; Glaser, Niklas J.; Huber, Dennis; Glaser, Steffen J. Wigner state and process tomography on near-term quantum devices. (English) Zbl 07945939 Quantum Inf. Process. 23, No. 10, Paper No. 359, 45 p. (2024). MSC: 81P68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohst, Ties-A; Plávala, Martin Symmetries and Wigner representations of operational theories. (English) Zbl 07931851 J. Phys. A, Math. Theor. 57, No. 43, Article ID 435306, 23 p. (2024). MSC: 81-XX 83-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Chengcheng; Majid, Shahn Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model. (English) Zbl 07917412 J. High Energy Phys. 2024, No. 7, Paper No. 195, 27 p. (2024). MSC: 83Cxx 46Lxx 81Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin Berezin correspondence and Stratonovich-Weyl correspondence for the semi-direct product of the Heisenberg group and \(SU (p,q)\). (English) Zbl 07898737 Kyushu J. Math. 78, No. 1, 71-90 (2024). MSC: 22E46 32M10 46E22 × Cite Format Result Cite Review PDF Full Text: DOI
Berra-Montiel, Jasel; García-Compeán, Hugo; Molgado, Alberto Star exponentials from propagators and path integrals. (English) Zbl 07894223 Ann. Phys. 468, Article ID 169744, 12 p. (2024). MSC: 81S30 46F10 53D55 81S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin Complex Weyl symbols of metaplectic operators: an elementary approach. (English) Zbl 1540.22024 Rend. Ist. Mat. Univ. Trieste 55, Paper No. 5, 27 p. (2023). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 22E45 22E70 81R05 81S10 81R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Koczor, Bálint; vom Ende, Frederik; de Gosson, Maurice; Glaser, Steffen J.; Zeier, Robert Phase spaces, parity operators, and the Born-Jordan distribution. (English) Zbl 1534.81078 Ann. Henri Poincaré 24, No. 12, 4169-4236 (2023). MSC: 81S30 81V80 93C80 16S32 44A05 44A35 62G30 81R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Davis, Jack; Hennigar, Robie A.; Mann, Robert B.; Ghose, Shohini Stellar representation of extremal Wigner-negative spin states. (English) Zbl 1523.81116 J. Phys. A, Math. Theor. 56, No. 26, Article ID 265302, 28 p. (2023). MSC: 81S30 81P40 22E70 82D20 81R30 35B36 20B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hessam, Hamed; Khalkhali, Masoud; Pagliaroli, Nathan; Verhoeven, Luuk S. From noncommutative geometry to random matrix theory. (English) Zbl 1519.58005 J. Phys. A, Math. Theor. 55, No. 41, Article ID 413002, 38 p. (2022). MSC: 58B34 81T32 83C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lira-Torres, Evelyn; Majid, Shahn Geometric Dirac operator on the fuzzy sphere. (English) Zbl 1512.58006 Lett. Math. Phys. 112, No. 1, Paper No. 10, 22 p. (2022). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 81R50 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klimov, Andrei B.; Seyfarth, Ulrich; de Guise, Hubert; Sánchez-Soto, Luis L. \(\mathrm{SU}(1, 1)\) covariant \(s\)-parametrized maps. (English) Zbl 1519.81533 J. Phys. A, Math. Theor. 54, No. 6, Article ID 065301, 18 p. (2021). MSC: 81V80 81R30 81S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbaresco, Frédéric Archetypal model of entropy by Poisson cohomology as invariant Casimir function in coadjoint representation and geometric Fourier heat equation. (English) Zbl 1517.53071 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 417-429 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D17 58J35 94A17 80A05 × Cite Format Result Cite Review PDF Full Text: DOI
Valtierra, Ivan F.; Gaeta, Mario B.; Ortega, Adrian; Gorin, Thomas \( \mathcal{PT}\)-symmetry in compact phase space for a linear Hamiltonian. (English) Zbl 1528.81138 Int. J. Theor. Phys. 60, No. 9, 3286-3305 (2021). MSC: 81Q12 81S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abgaryan, Vahagn; Khvedelidze, Arsen; Torosyan, Astghik Kenfack-Życzkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit. (English) Zbl 07411334 Phys. Lett., A 412, Article ID 127591, 8 p. (2021). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Siye Representations of fermionic star product algebras and the projectively flat connection. (English) Zbl 1465.53093 J. Geom. Phys. 163, Article ID 104147, 17 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D55 53D50 15A75 15A66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abgaryan, V.; Khvedelidze, A.; Rogojin, I. On overall measure of non-classicality of \(N\)-level quantum system and its universality in the large \(N\) limit. (English) Zbl 1510.81089 Vishnevskiy, Vladimir M. (ed.) et al., Distributed computer and communication networks. 23rd international conference, DCCN 2020, Moscow, Russia, September 14–18, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12563, 244-255 (2020). MSC: 81S30 81P16 81P20 81V45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group. (English) Zbl 1475.22019 Tsukuba J. Math. 44, No. 1, 121-137 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E45 81R05 81S10 81R30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Man’ko, V. I.; Markovich, L. A. Integral transforms between tomogram and quasi-probability functions based on quantizer-dequantizer operators formalism. (English) Zbl 1454.81033 J. Math. Phys. 61, No. 10, 102102, 20 p. (2020). MSC: 81P16 81P18 81S30 44A05 × Cite Format Result Cite Review PDF Full Text: DOI
Avanesov, A. S.; Man’ko, V. I. The discrete center-of-mass tomogram. (English) Zbl 1447.81031 Int. J. Theor. Phys. 59, No. 8, 2404-2424 (2020). MSC: 81P18 81S30 81P45 81P05 × Cite Format Result Cite Review PDF Full Text: DOI
Abgaryan, V.; Khvedelidze, A.; Torosyan, A. On the moduli space of Wigner quasiprobability distributions for \(N\)-dimensional quantum systems. (English) Zbl 1435.81110 J. Math. Sci., New York 240, No. 5, 617-633 (2019) and Zap. Nauchn. Semin. POMI 468, 177-201 (2018). MSC: 81S30 14J15 53D05 81P16 81S10 57R10 22E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin Invariant symbolic calculus for compact Lie groups. (English) Zbl 1474.22011 Arch. Math., Brno 55, No. 3, 139-155 (2019). Reviewer: Tin Yau Tam (Reno) MSC: 22E46 22E45 81S10 81R05 × Cite Format Result Cite Review PDF Full Text: DOI
Cahen, Benjamin Stratonovich-Weyl correspondence for the generalized Poincaré group. (English) Zbl 1402.81181 J. Lie Theory 28, No. 4, 1043-1062 (2018). MSC: 81S10 22E46 22E45 81R05 × Cite Format Result Cite Review PDF Full Text: Link
Cahen, Benjamin Invariant symbolic calculus for semidirect products. (English) Zbl 1463.81016 Commentat. Math. Univ. Carol. 59, No. 2, 253-269 (2018). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 81S10 22E46 22E45 22D30 81R05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Andreev, V. A.; Davidović, D. M.; Davidović, L. D.; Davidović, Milena D.; Davidović, Miloš D. Scale transformations in phase space and stretched states of a harmonic oscillator. (English. Russian original) Zbl 1390.81162 Theor. Math. Phys. 192, No. 1, 1080-1096 (2017); translation from Teor. Mat. Fiz. 192, No. 1, 164-184 (2017). MSC: 81Q10 81S05 62J10 81S30 × Cite Format Result Cite Review PDF Full Text: DOI
Cahen, Benjamin Coherent states and Berezin quantization for non-scalar holomorphic representations. (English) Zbl 1319.22008 Ric. Mat. 64, No. 1, 115-135 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E45 22E10 32M05 32M10 46E22 81S10 81R30 × Cite Format Result Cite Review PDF Full Text: DOI
Gat, Omri; Lein, Max; Teufel, Stefan Semiclassics for particles with spin via a Wigner-Weyl-type calculus. (English) Zbl 1301.81065 Ann. Henri Poincaré 15, No. 10, 1967-1991 (2014). MSC: 81Q20 81S05 81S30 81V80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin Stratonovich-Weyl correspondence for the Jacobi group. (English) Zbl 1304.22005 Commun. Math. 22, No. 1, 31-48 (2014). Reviewer: Stefan Berceanu (Bucureşti) MSC: 22E10 32M05 32M10 32M15 46E22 81S10 × Cite Format Result Cite Review PDF Full Text: Link
Vitale, Patrizia; Wallet, Jean-Christophe Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom. (English) Zbl 1342.81641 J. High Energy Phys. 2013, No. 4, Paper No. 115, 35 p. (2013). MSC: 81T75 81T18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Przanowski, Maciej; Skulimowski, Marcin; Tosiek, Jaromir A time of arrival operator on the circle (variations on two ideas). (English) Zbl 1264.81261 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 265-274 (2013). MSC: 81S05 81P15 81P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Andrea, Francesco; Lizzi, Fedele; Várilly, Joseph C. Metric properties of the fuzzy sphere. (English) Zbl 1276.46060 Lett. Math. Phys. 103, No. 2, 183-205 (2013). Reviewer: Albert Sheu (Lawrence) MSC: 46L87 81R05 58B34 81R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hinarejos, M.; Pérez, A.; Bañuls, M. C. Wigner function for a particle in an infinite lattice. (English) Zbl 1448.81417 New J. Phys. 14, No. 10, Article ID 103009, 19 p. (2012). MSC: 81S30 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin Stratonovich-Weyl correspondence for compact semisimple Lie groups. (English) Zbl 1218.22008 Rend. Circ. Mat. Palermo (2) 59, No. 3, 331-354 (2010). Reviewer: Stefan Berceanu (Bucureşti) MSC: 22E46 81S10 46E22 32M10 43A77 × Cite Format Result Cite Review PDF Full Text: DOI
Kalmykov, Yuri P.; Mulligan, Bernard P. J.; Titov, Serguey V.; Coffey, William T. Master equation in phase space for a spin in an arbitrarily directed uniform external field. (English) Zbl 1214.82080 J. Stat. Phys. 141, No. 3, 589-606 (2010). Reviewer: David Jou (Bellaterra) MSC: 82C31 82D40 × Cite Format Result Cite Review PDF Full Text: DOI
Kondratieva, M. F.; Osborn, T. A. On the notion of quantum Lyapunov exponent. (English) Zbl 1151.81336 J. Math. Sci., New York 150, No. 6, 2500-2506 (2008); translation from Fundam. Prikl. Mat. 12, No. 5, 65-74 (2006). MSC: 81Q50 37N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kalmykov, Yuri P.; Coffey, William T.; Titov, Serguey V. Master equation in phase space for a uniaxial spin system. (English) Zbl 1214.82079 J. Stat. Phys. 131, No. 5, 969-987 (2008). MSC: 82C31 × Cite Format Result Cite Review PDF Full Text: DOI
Kryukov, S.; Walton, M. A. On infinite walls in deformation quantization. (English) Zbl 1091.81053 Ann. Phys. 317, No. 2, 474-491 (2005). MSC: 81S10 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barker, Laurence Continuum quantum systems as limits of discrete quantum systems. I: State vectors. (English) Zbl 0989.81053 J. Funct. Anal. 186, No. 1, 153-166 (2001). Reviewer: Bassano Vacchini (Milano) MSC: 81S30 81R05 81S25 × Cite Format Result Cite Review PDF Full Text: DOI
Bolte, Jens; Glaser, Rainer; Keppeler, Stefan Quantum and classical ergodicity of spinning particles. (English) Zbl 0984.81047 Ann. Phys. 293, No. 1, 1-14 (2001). MSC: 81Q50 81S30 37D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv