Quantum computing in many body physics

Abstract

Quantum computing is based on quantum mechanics and its phenomena. It promises to provide high computational power, high speed compared to classical computers and solve unsolvable problems of classical computers. However it would take a while before we have fault-intolerant quantum computers. The most prominent application of Noisy-Intermediate Scale Quantum (NISQ) era is Variational Quantum Eigensolver (VQE) which is used to approximate ground state energy eigenvalues of various physical systems. In this thesis the main idea is to explore various aspects of Quan tum Computing keeping the deuteron problem at the core, starting from its basics and slowly moving on to VQE and then studying the impact of various Quantum Noise on it. An algorithm named Subspace Search Vari ational Quantum Eigensolver which is also used to infer meaningful results about the excited state of deuteron. We also explore a diagonalisation tech nique named Schrieffer-Wolff transformation which opens door for future work.