Zobrazeno 1 - 10
of 796
pro vyhledávání: '"Makhlin, A."'
Autor:
Cox, Shelby, Makhlin, Igor
The type A cluster configuration space, commonly known as $\mathcal M_{0,n}$, is the very affine part of the binary geometry associated with the associahedron. The tropicalization of $\mathcal M_{0,n}$ can be realized as the space of phylogenetic tre
Externí odkaz:
http://arxiv.org/abs/2410.13652
Autor:
Makhlin, Yuriy, Zorin, Alexander B.
We analyze properties of bifurcation quantum detectors based on weakly nonlinear superconducting resonance circuits, in particular, with application to quantum readout. The developed quantitative description demonstrates strong influence of higher ha
Externí odkaz:
http://arxiv.org/abs/2405.16366
Autor:
Makedonskyi, Ievgen, Makhlin, Igor
We demonstrate how pipe dreams can be applied to the theory of poset polytopes to produce toric degenerations of flag varieties. Specifically, we present such constructions for marked chain-order polytopes of Dynkin types A and C. These toric degener
Externí odkaz:
http://arxiv.org/abs/2403.09959
Autor:
Makedonskyi, Ievgen, Makhlin, Igor
In types C and B we construct new families of toric degenerations and Newton--Okounkov bodies of flag varieties and also of PBW-monomial bases in irreducible representations. The constructed objects are given by certain poset polytopes which in both
Externí odkaz:
http://arxiv.org/abs/2402.16207
Publikováno v:
Sci. Reports 13, 15263 (2023)
We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum computations. For t
Externí odkaz:
http://arxiv.org/abs/2302.10123
Autor:
Timoshuk, Igor, Makhlin, Yuriy
Topological quantum computations can be implemented with local Majorana zero modes. To simplify manipulations, one can use Majorana edge states in gapped two-dimensional systems. Here we demonstrate how this approach can be used for a Kitaev hexagona
Externí odkaz:
http://arxiv.org/abs/2302.10101
Autor:
Makhlin, Igor
Our first result realizes the toric variety of every marked chain-order polytope (MCOP) of the Gelfand--Tsetlin poset as an explicit Gr\"obner (sagbi) degeneration of the flag variety. This generalizes the Sturmfels/Gonciulea--Lakshmibai/Kogan--Mille
Externí odkaz:
http://arxiv.org/abs/2211.03499
We consider Majorana zero modes in a Josephson junction on top of a topological insulator in transverse magnetic field. Majorana zero modes reside at periodically located nodes of Josephson vortices. We find that hybridization of these modes is prohi
Externí odkaz:
http://arxiv.org/abs/2210.16958
An arc space of an affine cone over a projective toric variety is known to be non-reduced in general. It was demonstrated recently that the reduced scheme structure is worth studying due to various connections with representation theory and combinato
Externí odkaz:
http://arxiv.org/abs/2208.10432
Autor:
Feigin, Evgeny, Makhlin, Igor
The two best studied toric degenerations of the flag variety are those given by the Gelfand--Tsetlin and FFLV polytopes. Each of them degenerates further into a particular monomial variety which raises the problem of describing the degenerations inte
Externí odkaz:
http://arxiv.org/abs/2112.05894