Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Melnikov, Dmitry P."'
Topological quantum field theories (TQFT) encode quantum correlations in topological features of spaces. In this work, we leverage this feature to explore how information encoded in TQFTs can be stored and retrieved in the presence of local decoheren
Externí odkaz:
http://arxiv.org/abs/2410.05404
Autor:
Melnikov, Dmitry
In these notes we review the calculation of Jones polynomials using a matrix representation of the braid group and Temperley-Lieb algebra. The pseudounitary representation that we consider allows constructing ``states'' from the group/algebra matrice
Externí odkaz:
http://arxiv.org/abs/2403.17227
Autor:
Melnikov, Dmitry
We use the topological quantum field theory description of states in Chern-Simons theory to discuss the relation between spacetime connectivity and entanglement, exploring the paradigm entanglement=topology. We define a special class of states in Che
Externí odkaz:
http://arxiv.org/abs/2312.16683
Autor:
Melnikov, Dmitry
Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quan
Externí odkaz:
http://arxiv.org/abs/2302.08548
There has been considerable recent interest in type II string compactifications on AdS$_3\times$S$^3\times$M$_{4}$ due to both new progress in the AdS$_3$/CFT$_2$ correspondence and an independent search for new ${\cal N}=(4,0)$ supergravity solution
Externí odkaz:
http://arxiv.org/abs/2211.02702
Autor:
Melnikov, Dmitry
In this note we discuss a topological realization of the quantum teleportation protocol. Such a realization facilitates keeping track of the evolution of quantum correlations in the system. It is then suggested, that an implementation of a similar pr
Externí odkaz:
http://arxiv.org/abs/2211.01339
Autor:
Melnikov, Dmitry
Classification of entanglement is an important problem in Quantum Resource Theory. In this paper we discuss an embedding of this problem in the context of Topological Quantum Field Theories (TQFT). This approach allows classifying entanglement patter
Externí odkaz:
http://arxiv.org/abs/2208.13901
Autor:
Dymarsky, Anatoly, Melnikov, Dmitry
Recently there has been a notable progress in the study of glueball states in lattice gauge theories, in particular extrapolating their spectrum to the limit of large number of colors $N$. In this note we compare the large $N$ lattice results with th
Externí odkaz:
http://arxiv.org/abs/2206.14826
Autor:
Alcerro, L., Krintiras, G. K., Royon, C., Albrow, Michael G., Boettcher, Thomas, Brodsky, Stanley J., Celiberto, Francesco Giovanni, Cerci, Deniz Sunar, Cerci, Salim, Chachamis, G., Colferai, Dimitri, Duan, Weisong, Fabbri, Laura, Giuli, Francesco, Gras, Cristina Sánchez, Klein, Spencer R., Lewicki, Maciej P., Mäkelä, Toni, Jalilian-Marian, Jamal, Melnikov, Dmitry, Nemes, Frigyes, Lopes, Beatriz Ribeiro, Österberg, Kenneth, Petrov, Vladimir, Ragoni, Simone, Santimaria, M., Zhang, Zhiqing
The purpose of the Low-$x$ Workshop series is to stimulate discussions between experimentalists and theorists in diffractive hadronic physics, QCD dynamics at low $x$, parton saturation, and exciting problems in QCD at HERA, Tevatron, LHC, RHIC, and
Externí odkaz:
http://arxiv.org/abs/2206.11624
Autor:
Melnikov, Dmitry
We discuss the basic problem of signal transmission in quantum mechanics in terms of topological theories. Using the analogy between knot diagrams and quantum amplitudes we calculate the transmission coefficients of the concept topological quantum de
Externí odkaz:
http://arxiv.org/abs/2012.13612