Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Sazonov, Vasily"'
We argue the feasibility to study the phase structure of a quantum physical system on quantum devices via adiabatic preparation of states. We introduce a novel method and successfully test it in application to the Schwinger model in the presence of a
Externí odkaz:
http://arxiv.org/abs/2407.09224
Autor:
Sazonov, Vasily
Loop Vertex Expansion (LVE) was developed to construct QFT models with local and non-local interactions. Using LVE, one can prove the analyticity in the finite cardioid-like domain in the complex plain of the coupling constant of the free energies an
Externí odkaz:
http://arxiv.org/abs/2312.00712
Autor:
Sazonov, Vasily
We consider the Abdesselam-Rivasseau (AR) model turning the Jacobian Conjecture (JC) into a problem of the perturbative quantum field theory. Within the AR model, the JC inverse map is represented by a formal integral generating the tree's expansion
Externí odkaz:
http://arxiv.org/abs/2212.07920
Autor:
Sazonov, Vasily
In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-$N$ saddle point equations are dominated b
Externí odkaz:
http://arxiv.org/abs/2208.12586
Autor:
Sazonov, Vasily, Tamaazousti, Mohamed
Reducing errors is critical to the application of modern quantum computers. In the current Letter, we investigate the quantum error mitigation considering parametric circuits accessible by classical computations in some range of their parameters. We
Externí odkaz:
http://arxiv.org/abs/2112.03054
This paper provides the constructive loop vertex expansion for stable matrix models with (single trace) interactions of arbitrarily high even order in the Hermitian and real symmetric cases. It relies on a new and simpler method which can also be app
Externí odkaz:
http://arxiv.org/abs/1910.13261
Autor:
Ivanov, Aleksandr, Sazonov, Vasily
Recently, a convergent series employing a non-Gaussian initial approximation was constructed and shown to be an effective computational tool for the finite size lattice models with a polynomial interaction. Here we numerically examine the applicabili
Externí odkaz:
http://arxiv.org/abs/1806.01884
This paper provides an extension of the constructive loop vertex expansion to stable matrix models with interactions of arbitrarily high order. We introduce a new representation for such models, then perform a forest expansion on this representation.
Externí odkaz:
http://arxiv.org/abs/1712.05670
Autor:
Sazonov, Vasily
Lattice studies of QCD at temperatures above the chiral restoration and QCD with truncated low modes of the Dirac operator indicate approximate and explicit $SU(4)$ degeneracies in hadron spectra, respectively. At the same time, the QCD classical act
Externí odkaz:
http://arxiv.org/abs/1712.00454
Autor:
Sazonov, Vasily
Lattice models with complex actions are important for the understanding of matter at finite densities, but not accessible by the standard Monte Carlo techniques due to the sign problem. Here we derive a new approach for avoiding the complex action/si
Externí odkaz:
http://arxiv.org/abs/1706.03957