Magnetic quantum hopfions as topologically protected states for quantum computing

The project QUANTHOPF is dedicated to studying the quantum properties of magnetic hopfions -- 3D knot-like topologically protected states, focusing on their possible application in quantum computations. The utilization of topologically protected qubits is particularly appealing in quantum computing because it promises the possibility of error-resistant quantum information storage and processing. On the other hand, nano-sized magnetic solitons, such as 2D skyrmions and 3D hopfions, represent attractive particle-like states with recently discovered quantum properties. In this project, I plan to employ advanced methods of classical and quantum spin systems, such as micromagnetic modeling, the density matrix renormalization group method, and semi-classical approaches, to study the quantum properties of 3D hopfions. Additionally, my goal is to study the dynamics of excitations of these states for constructing gate operations needed for qubit manipulation and performing quantum computation. Furthermore, the design of neutron scattering experiments that can be used to observe hopfions' quantum effects is planned within this project.