Abstract
A quantum many-body system contains an exponentially growing number of de grees of freedom, corresponding to an exponential growth in dimensions of the Hilbert space. The dynamics of such systems are described by a set of coupled non-linear differential equations, finding the solution of which has proven to be classical-computationally challenging, for any physically realistic numbers of bod ies. This PhD project explores the possibility of overcoming this computational barrier by simulating the quantum system using a quantum algorithm, where the complexity of the system can be processed by the quantum nature of qubits.</p><p></p><p>We consider the nuclear model of spherical nuclei such as 4He and 16O under a sim plified Skyrme interaction model, using the Hartree-Fock approach. We propose a quantum implementation of the classical imaginary time evolution (ITE) algorithm, as a potential starting point of further algorithms. We simulate this quantum ima ginary time evolution (QITE) algorithm classically, and show that it gives identical results to the classical ITE implementation. We also demonstrate the quantum ad vantage of the QITE algorithm, as well as analysing its bottlenecks and potential improvements to them.