Seminarium Teorii Względności i Grawitacji

During the seminar I will discuss a possibility of simulating Planck scale physics employing current and future quantum computers. I will focus on spin network states spanning a kinematical Hilbert space of Loop Quantum Gravity. A class of simple spin network states which are both physically interesting and convenient from the viewpoint of quantum simulations will be introduced. Based on this, a method of computing gravitational spin foam vertex amplitudes with the use of quantum algorithms will be presented. Exemplary implementations of the method on IBM superconducting quantum computer and emulators of quantum computers will be shown. Furthermore, I will introduce an idea of extracting physical states (solving Hamiltonian constraint) with the use of adiabatic quantum computers.