Optimal control based quantum computation of nuclear reactions

Abstract:  Quantum computers have the capability of manipulating the state of a quantum system by applying some general unitary transformations. In what is currently accepted universal scheme these transformations are reconstructed exploiting the Solovay-Kitaev theorem, that is using a small set of transformations (the so-called quantum gates). There is an alternative strategy, though. It considers the possibility of exactly implementing a generic unitary transformation by explicit construction. This is the so-called optimal control approach. In this talk I will show how optimal control can be effectively used on Circuit-QED based machines. Moreover, I will present an application to the study of the spin dynamics of two neutrons interacting with a simple EFT potential at LO. This study opens the door to a direct computational implementation of the time evolution of quantum states, which has a potential immediate application in the realistic simulation of generic nuclear reactions.