5 papers
Solving Differential Equation with Quantum-Circuit Enhanced Physics-Informed Neural Networks
Rachana Soni
I present a simple hybrid framework that combines physics informed neural networks (PINNs) with features generated from small quantum circuits. As a proof of concept, a first-order…
Simulating and Learning Quantum Evolution: A CTQW-ML Framework
Rachana Soni, Navneet Pratap Singh
We present an approach to simulate the Schrödinger equation through continuous time quantum walks. The CTQW-based simulation applies unitary evolution driven by a quantum walk to…
Hybrid Quantum Walks Dynamics and Construction of a Quantum Cryptographic Primitive
Rachana Soni, Navneet Pratap Singh, Neelam Choudhary
In this research article, we design a quantum hash function model from hybrid quantum walks on finite path graph. The hybrid evolution operator consisting of integrated framework o…
Quantum communication scheme to teleport arbitrary quantum state via discrete time quantum walks
Rachana Soni, Neelam Choudhary, Navneet Pratap Singh
In this article, we propose a quantum communication protocol via 2-step discrete time quantum walks with two coins on a graph of 10 vertices containing both cycles and paths. Quant…
Quantum fractional revival governed by adjacency matrix Hamiltonian in unitary Cayley graphs
Rachana Soni, Neelam Choudhary, Navneet Pratap Singh
In this article, we give characterization for existence of quantum fractional revival in unitary Cayley graph utilizing adjacency matrix Hamiltonian. Unitary Cayley graph $X=( Z_n,…