GAP

Main Branches

Downloads  Installation  Overview  Data Libraries  Packages  Documentation  Contacts  FAQ  GAP 3 

46 publications using GAP in the category "Quantum theory"

[APS19] Ariki, S., Park, E., and Speyer, L., Specht modules for quiver Hecke algebras of type $C$, Publ. Res. Inst. Math. Sci., 55 (3) (2019), 565–626.

[A07] Asaeda, M., Galois groups and an obstruction to principal graphs of subfactors, Internat. J. Math., 18 (2) (2007), 191–202.

[BN+19] Bannai, E., Nakahara, M., Zhao, D., and Zhu, Y., On the explicit constructions of certain unitary $t$-designs, J. Phys. A, 52 (49) (2019), 495301, 17.

[BN+20] Bannai, E., Navarro, G., Rizo, N., and Tiep, P. H., Unitary $t$-groups, J. Math. Soc. Japan, 72 (3) (2020), 909–921.

[B03] Bantay, P., Permutation orbifolds and their applications, in Vertex operator algebras in mathematics and physics (Toronto, ON, 2000), Amer. Math. Soc., Providence, RI, Fields Inst. Commun., 39 (2003), 13–23.

[BNY20] Bardakov, V. G., Neshchadim, M. V., and Yadav, M. K., Computing skew left braces of small orders, Internat. J. Algebra Comput., 30 (4) (2020), 839–851.

[CDH14] Cheng, M. C. N., Duncan, J. F. R., and Harvey, J. A., Umbral moonshine, Commun. Number Theory Phys., 8 (2) (2014), 101–242.

[CZ13] Coquereaux, R. and Zuber, J., Drinfeld doubles for finite subgroups of $\rm SU(2)$ and $\rm SU(3)$ Lie groups, SIGMA Symmetry Integrability Geom. Methods Appl., 9 (2013), Paper 039, 36.

[DF15] Dangniam, N. and Ferrie, C., Quantum Bochner's theorem for phase spaces built on projective representations, J. Phys. A, 48 (11) (2015), 115305, 15.

[DF15] Dangniam, N. and Ferrie, C., Quantum Bochner's theorem for phase spaces built on projective representations, J. Phys. A, 48 (11) (2015), 115305, 15.

[G01] de Graaf, W. A., Computing with quantized enveloping algebras: PBW-type bases, highest-weight modules and $R$-matrices, J. Symbolic Comput., 32 (5) (2001), 475–490.

[GM20] de Graaf, W. A. and Marrani, A., Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8, J. Phys. A, 53 (15) (2020), 155203, 13.

[DJR11] Douglas, A., Joseph, W., and Repka, J., A classification of the embeddings of the Diamond Lie algebra into $\germsl(3,\Bbb C)$ and $\germsp(4,\Bbb C)$ and restrictions of irreducible modules, J. Math. Phys., 52 (10) (2011), 103507, 10.

[DR14] Douglas, A. and Repka, J., The GraviGUT algebra is not a subalgebra of $E_8$, but $E_8$ does contain an extended GraviCUT algebra, SIGMA Symmetry Integrability Geom. Methods Appl., 10 (2014), Paper 072, 10.

[FH+01] Feng, B., Hanany, A., He, Y., and Prezas, N., Discrete torsion, covering groups and quiver diagrams, J. High Energy Phys. (4) (2001), Paper 37, 27.

[FH+01] Feng, B., Hanany, A., He, Y., and Prezas, N., Discrete torsion, non-abelian orbifolds and the Schur multiplier, J. High Energy Phys. (1) (2001), Paper 33, 25.

[FH+04] Feng, B., Hanany, A., He, Y., and Prezas, N., Discrete torsion, non-abelian orbifolds and the Schur multiplier, in Horizons in world physics. Vol. 245, Nova Sci. Publ., New York, Horiz. World Phys., 245 (2004), 27–44.

[FF20] Fjelstad, J. and Fuchs, J., Mapping class group representations from Drinfeld doubles of finite groups, J. Knot Theory Ramifications, 29 (5) (2020), 2050033, 61.

[FG11] Fortunato, L. and de Graaf, W. A., Angular momentum non-conserving symmetries in bosonic models, J. Phys. A, 44 (14) (2011), 145206, 12.

[GPV15] Gaberdiel, M. R., Persson, D., and Volpato, R., Generalised moonshine and holomorphic orbifolds, in String-Math 2012, Amer. Math. Soc., Providence, RI, Proc. Sympos. Pure Math., 90 (2015), 73–86.

[G16] Gannon, T., Much ado about Mathieu, Adv. Math., 301 (2016), 322–358.

[GL10] Grimus, W. and Ludl, P. O., Principal series of finite subgroups of $\rm SU(3)$, J. Phys. A, 43 (44) (2010), 445209, 35.

[GL14] Grimus, W. and Ludl, P. O., On the characterization of the $SU(3)$-subgroups of type C and D, J. Phys. A, 47 (7) (2014), 075202, 14.

[GAE07] Gross, D., Audenaert, K., and Eisert, J., Evenly distributed unitaries: on the structure of unitary designs, J. Math. Phys., 48 (5) (2007), 052104, 22.

[HMV14] Hagedorn, C., Meroni, A., and Vitale, L., Mixing patterns from the groups $\Sigma(n\phi)$, J. Phys. A, 47 (5) (2014), 055201, 28.

[HH01] Hanany, A. and He, Y., A monograph on the classification of the discrete subgroups of $\rm SU(4)$, J. High Energy Phys. (2) (2001), Paper 27, 12.

[HM18] Harvey, J. A. and Moore, G. W., Conway subgroup symmetric compactifications of heterotic string, J. Phys. A, 51 (35) (2018), 354001, 35.

[H03] He, Y., $G_2$ quivers, J. High Energy Phys. (2) (2003), 023, 14.

[HRW08] Hong, S., Rowell, E., and Wang, Z., On exotic modular tensor categories, Commun. Contemp. Math., 10 (suppl. 1) (2008), 1049–1074.

[H13] Huffman, W. C., On the theory of $\Bbb F_q$-linear $\Bbb F_q^t$-codes, Adv. Math. Commun., 7 (3) (2013), 349–378.

[KR02] Klappenecker, A. and Rötteler, M., Beyond stabilizer codes. I. Nice error bases, IEEE Trans. Inform. Theory, 48 (8) (2002), 2392–2395.

[KR03] Klappenecker, A. and Rötteler, M., Unitary error bases: constructions, equivalence, and applications, in Applied algebra, algebraic algorithms and error-correcting codes (Toulouse, 2003), Springer, Berlin, Lecture Notes in Comput. Sci., 2643 (2003), 139–149.

[K11] Kornyak, V. V., Finite quantum models: a constructive approach to the description of quantum behavior, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 387 (Teoriya Predstavleniĭ, Dinamicheskie Sistemy, Kombinatornye Metody. XIX) (2011), 122–144, 191.

[L14] Levaillant, C., The Freedman group: a physical interpretation for the $SU(3)$-subgroup $D(18,1,1;2,1,1)$ of order 648, J. Phys. A, 47 (28) (2014), 285203, 29.

[LMR17] López Peña, J., Majid, S., and Rietsch, K., Lie theory of finite simple groups and the Roth property, Math. Proc. Cambridge Philos. Soc., 163 (2) (2017), 301–340.

[L10] Ludl, P. O., On the finite subgroups of $\rm U(3)$ of order smaller than 512, J. Phys. A, 43 (39) (2010), 395204, 28.

[L11] Ludl, P. O., Comments on the classification of the finite subgroups of $\rm SU(3)$, J. Phys. A, 44 (25) (2011), 255204, 12.

[L11] Ludl, P. O., Corrigendum: On the finite subgroups of $\rm U(3)$ of order smaller than 512 [MR2720062], J. Phys. A, 44 (13) (2011), 139501, 1.

[LM20] Lukas, A. and Mishra, C., Discrete symmetries of complete intersection Calabi-Yau manifolds, Comm. Math. Phys., 379 (3) (2020), 847–865.

[MSH14] Mozrzymas, M., Studziński, M., and Horodecki, M., Explicit constructions of unitary transformations between equivalent irreducible representations, J. Phys. A, 47 (50) (2014), 505203, 20.

[NBV15] Ni, X., Buerschaper, O., and Van den Nest, M., A non-commuting stabilizer formalism, J. Math. Phys., 56 (5) (2015), 052201, 32.

[PJ08] Planat, M. and Jorrand, P., Group theory for quantum gates and quantum coherence, J. Phys. A, 41 (18) (2008), 182001, 8.

[PRB99] Püschel, M., Rötteler, M., and Beth, T., Fast quantum Fourier transforms for a class of non-abelian groups, in Applied algebra, algebraic algorithms and error-correcting codes (Honolulu, HI, 1999), Springer, Berlin, Lecture Notes in Comput. Sci., 1719 (1999), 148–159.

[SRS08] Skotiniotis, M., Roy, A., and Sanders, B. C., On the epistemic view of quantum states, J. Math. Phys., 49 (8) (2008), 082103, 13.

[SC+08] Sorge, V., Colton, S., McCasland, R., and Meier, A., Classification results in quasigroup and loop theory via a combination of automated reasoning tools, Comment. Math. Univ. Carolin., 49 (2) (2008), 319–339.

[WWY19] Walton, C., Wang, X., and Yakimov, M., Poisson geometry of PI three-dimensional Sklyanin algebras, Proc. Lond. Math. Soc. (3), 118 (6) (2019), 1471–1500.