In this work, our prime objective is to study the phenomena of quantum chaos and complexity in the machine learning dynamics of Quantum Neural Network (QNN). A Parameterized Quantum Circuits (PQCs) in the hybrid quantum-classical framework is introduced as a universal function approximator to perform optimization with Stochastic Gradient Descent (SGD). We employ a statistical and...
Theory ArXiv ePrint: 1811.01079 This project is the part of the non-profit virtual international research consortium “Quantum Structures of the Space-Time & Matter”. (Sayantan Choudhury) Download
In this article, I have studied the cosmological and particle physics constraints on a generic class of large field (|Δϕ| > M p ) and small field (|Δϕ| < M p ) models of brane inflationary magnetic field from: (1) tensor-to-scalar ratio (r), (2) reheating, (3) leptogenesis and (4) baryogenesis in case of Randall-Sundrum single braneworld gravity (RSII) framework. I also establish...
Abstract It has recently been demonstrated that the large N limit of a model of fermions charged under the global/gauge symmetry group O(N)q−1 agrees with the large N limit of the SYK model. In these notes we investigate aspects of the dynamics of the O(N)q−1 theories that differ from their SYK counterparts. We argue that the spectrum of fluctuations about the finite temperature...
Sayantan Choudhury 0 0 Physics and Applied Mathematics Unit, Indian Statistical Institute , 203 B.T. Road, Kolkata 700 108, India In this paper I provide a general framework based on N formalism to
We have derived an effective potential for inflationary scenario from torsion and quantum gravity correction in terms of the scalar field hidden in torsion. A strict bound on the CP violating θ parameter, \( \mathcal{O}\left(1{0}^{-10}\right)<\theta <\mathcal{O}\left(1{0}^{-9}\right) \) has been obtained, using Planck+WMAP9 best fit cosmological parameters.
We propose a framework of modulus stabilization in two brane warped geometry scenario in presence of higher curvature gravity and dilaton in bulk space-time. In the prescribed setup we study various features of the stabilized potential for the modulus field, generated by a bulk scalar degrees of freedom with quartic interactions localized on the two 3-branes placed at the...
Abstract In this paper we will illustrate how to constrain unavoidable Kähler corrections for \( \mathcal{N} \) = 1 supergravity (SUGRA) inflation from the recent Planck data. We will show that the non-renormalizable Kähler operators will induce in general non-minimal kinetic term for the inflaton field, and two types of SUGRA corrections in the potential — the Hubble-induced...
