A Quantum Algorithmic Approach to the Unruh effect

Kumar, Hareesh Ashok (2022) A Quantum Algorithmic Approach to the Unruh effect. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS dissertation of Hareesh Ashok Kumar (17MS055)) 17MS055_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (1MB)

Abstract

The need for designing quantum simulation protocols has increased as currently, there are a lot of efforts being put into developing quantum computers. In fact, at present, quantum computers with a small number of qubits have been developed using different physical systems. Since simulating quantum mechanical systems on classical computers lead to computational problems such as exponential blowup of information required to describe the system, one must resort to developing protocols to simulate quantum dynamics on current quantum computers. The Unruh effect is a theoretical prediction with no experimental verification due to the limitations of existing technologies. This project aims to develop a protocol to simulate the Unruh effect, looking at it from a quantum information-theoretic perspective. We are interested in using the discrete-time quantum walk(DTQW) for this because it is an excellent simulation tool. DTQW has been used to model various quantum dynamics and has also been experimentally realised in multiple physical systems. In this report, we look at an attempt to model the degradation of entanglement shared by Alice, an inertial observer and Rob, a non-inertial observer, which is a manifestation of the Unruh effect. In the end, we conclude that this model by itself is insufficient to simulate the entanglement degradation and we look at possible future directions that can be pursued to fulfil the objective of this project.

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