77 citations · 245 across the 12 of their papers we have counts for
13 papers
Large topological quantum computer
Nikita Kolganov, Sergey Mironov, Andrey Morozov
Chern-Simons topological quantum computer is a device that can be effectively described by the Chern-Simons topological quantum field theory and used for quantum computations. Quan…
Spin-orbit coupling suppression and singlet-state blocking of spin-triplet Cooper pairs
Sachio Komori, James Devine-Stoneman, Kohei Ohnishi +10
An inhomogeneous magnetic exchange field at a superconductor/ferromagnet interface converts spin-singlet Cooper pairs to a spin-aligned (i.e. spin-polarized) triplet state. Althoug…
From Topological to Quantum Entanglement
D. Melnikov, A. Mironov, S. Mironov +2
Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theorie…
Colored Alexander polynomials and KP hierarchy
A. Mironov, S. Mironov, V. Mishnyakov +2
We discuss the relation between knot polynomials and the KP hierarchy. Mainly, we study the scaling 1-hook property of the coloured Alexander polynomial: $\mathcal{A}^\mathcal{K}_R…
Properties of perturbations in beyond Horndeski theories
S. Mironov, V. Volkova
We study whether the approach of Deffayet et al. (DPSV) can be adopted for obtaining a derivative part of quadratic action for scalar perturbations in beyond Horndeski theories abo…
Towards topological quantum computer
D. Melnikov, A. Mironov, S. Mironov +2
One of the principal obstacles on the way to quantum computers is the lack of distinguished basis in the space of unitary evolutions and thus the lack of the commonly accepted set…
Generalized Jack polynomials and the AGT relations for the group
S. Mironov, An. Morozov, Y. Zenkevich
We find generalized Jack polynomials for the group and verify that their Selberg averages for several first levels are given by Nekrasov functions. To compute the averages…
Sedeonic theory of massless fields
V. L. Mironov, S. V. Mironov, S. A. Korolev
In present paper we develop the description of massless fields on the basis of space-time algebra of sixteen-component sedeons. The generalized sedeonic second-order equation for u…
Noncommutative sedeons and their application in field theory
Victor L. Mironov, Sergey V. Mironov
We present sixteen-component values "sedeons", generating associative noncommutative space-time algebra. The generalized second-order and first-order equations of relativistic quan…
Dephasing time and magnetoresistance of two-dimensional electron gas in spatially modulated magnetic fields
A. S. Melnikov, S. V. Mironov, S. V. Sharov
The effect of a spatially modulated magnetic field on the weak localization phenomenon in two-dimensional electron gas (2DEG) is studied. Both the dephasing time and magnetor…
Sedeonic relativistic quantum mechanics
Victor L. Mironov, Sergey V. Mironov
We represent sixteen-component values "sedeons", generating associative noncommutative space-time algebra. We demonstrate a generalization of relativistic quantum mechanics using s…
Octonic relativistic quantum mechanics
V. L. Mironov, S. V. Mironov
In this paper we represent the generalization of relativistic quantum mechanics on the base of eght-component values "octons", generating associative noncommutative spatial algebra…
Octonic Electrodynamics
Victor L. Mironov, Sergey V. Mironov
In this paper we present eight-component values "octons", generating associative noncommutative algebra. It is shown that the electromagnetic field in a vacuum can be described by…