Quantum Simulation of Hawking Radiation Using VQE Algorithm on IBM Quantum Computer

TL;DR

This paper demonstrates the use of the variational quantum eigensolver (VQE) algorithm on IBM quantum computers to simulate Hawking radiation, providing insights into black hole thermodynamics through quantum computational methods.

Contribution

It introduces a novel application of VQE with custom ansatzes to simulate Hawking radiation, bridging quantum computing and cosmological phenomena.

Findings

Successful simulation of Hawking radiation parameters

Comparison with existing data validates the quantum approach

Analysis of temperature and power variations with black hole parameters

Abstract

Quantum computers have an exponential speed-up advantage over classical computers. One of the most prominent utilities of quantum computers is their ability to study complex quantum systems in various fields using quantum computational algorithms. Quantum computational algorithms can be used to study cosmological systems and how they behave with variations in the different parameters of the system. Here, we use the variational quantum eigensolver (VQE) algorithm to simulate the Hawking radiation phenomenon. VQE algorithm is a combination of quantum and classical computation methods used to obtain the minimum energy eigenvalue for a given Hamiltonian. Three different custom ansatzes are used in the VQE algorithm from which the results for the case with minimum errors are studied. We obtain the plots for temperature and power from the minimum energy eigenvalue recorded for different values of mass and distance from the center of the black hole. The final result is then analyzed and compared against already existing data on Hawking radiation.