Quantum CNOT circuits synthesis for NISQ architectures using the syndrome decoding problem

TG de Brugière, M Baboulin, B Valiron, S Martiel… - … Conference, RC 2020 …, 2020 - Springer
Current proposals for quantum compilers involve the synthesis and optimization of linear
reversible circuits and among them CNOT circuits. This class of circuits represents a …

Flag‐Transitive Point‐Primitive Symmetric (ν, κ, λ) Designs With λ at Most 100

D Tian, S Zhou - Journal of Combinatorial Designs, 2013 - Wiley Online Library
Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100 - Tian - 2013 -
Journal of Combinatorial Designs - Wiley Online Library Skip to Article Content Skip to Article …

Polytopes of high rank for the symmetric groups

ME Fernandes, D Leemans - Advances in mathematics, 2011 - Elsevier
In the Atlas of abstract regular polytopes for small almost simple groups by Leemans and
Vauthier, the polytopes whose automorphism group is a symmetric group Sn of degree 5⩽ …

Highest rank of a polytope for

PJ Cameron, ME Fernandes… - Proceedings of the …, 2017 - Wiley Online Library
We prove that the highest rank of a string C‐group constructed from an alternating group A n
is 3 if n= 5, 4 if n= 9, 5 if n= 10, 6 if n= 11, and⌊(n− 1)/2⌋ if n⩾ 12. Moreover, if n= 3, 4, 6, 7 …

An extension of the classification of high rank regular polytopes

ME Fernandes, D Leemans, M Mixer - Transactions of the American …, 2018 - ams.org
Up to isomorphism and duality, there are exactly two nondegenerate abstract regular
polytopes of rank greater than $ n-3$(one of rank $ n-1$ and one of rank $ n-2$) with …

Computations in groups acting on a product of trees: normal subgroup structures and quaternion lattices

DA Rattaggi - 2004 - research-collection.ethz.ch
Motivated by the work of Burger-Mozes and Wise, we study groups in a class of co-compact
lattices in Aut (72OT) x Aut (72 «), the product of automorphism groups of two regular trees …

[PDF][PDF] An atlas of subgroup lattices of finite almost simple groups

T Connor, D Leemans - arXiv preprint arXiv:1306.4820, 2013 - arxiv.org
arXiv:1306.4820v2 [math.GR] 29 Nov 2013 Page 1 arXiv:1306.4820v2 [math.GR] 29 Nov 2013
AN ATLAS OF SUBGROUP LATTICES OF FINITE ALMOST SIMPLE GROUPS THOMAS …

[PDF][PDF] Berechnung von Galoisgruppen über Zahl-und Funktionenkörpern

K Geißler - 2003 - depositonce.tu-berlin.de
Sei F ein algebraischer Zahlkörper oder ein algebraischer Funktionenkörper über Q oder
einem endlichen Körper. In dieser Arbeit beschreiben wir einen effizienten Algorithmus zur …

[HTML][HTML] The affine primitive permutation groups of degree less than 1000

CM Roney-Dougal, WR Unger - Journal of Symbolic Computation, 2003 - Elsevier
The affine primitive permutation groups of degree less than 1000 - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …

Affine groups and flag-transitive triplanes

HL Dong, SL Zhou - Science China Mathematics, 2012 - Springer
Affine groups and flag-transitive triplanes Page 1 SCIENCE CHINA Mathematics . ARTICLES .
December 2012 Vol.55 No.12: 2557–2578 doi: 10.1007/s11425-012-4476-x c Science China …