Hilbert Space Engineering of Nuclear Spin Qudits by Isotopologue Coordination Chemistry

Ziel

One of the most ambitious technological goals today is the development of devices working under the laws of quantum mechanics. The challenge that remains unsolved is the limited scalability and tunability of the available Hilbert Space of the respective physical quantum bit (qubit) platform. A promising strategy to maximize on the Hilbert Space available is to utilize multilevel qubits known as qudits, where d defines the dimension. Furthermore, using molecules for this goal allows the tunability and scalability needed for such quantum systems to be envisaged as quantum devices. My group recently demonstrated both the electrical and optical read-out of molecular qudits in quantum devices. This breakthrough enabled the implementation of Grover’s quantum search algorithm in a single-molecule nuclear spin qudit (with d = 4), hence exploiting the nuclear spin manifold of lanthanide complexes as a quantum register. The project “Hilbert Molecules” will address the engineering of the available Hilbert Space in nuclear spin qudits, by precisely fine-tuning Lanthanide complexes, which can then be used as quantum hardware. The synthesis of such large-Hilbert-Space complexes will be carried out with strict control of the nuclear spin degree of freedom. By applying isotopologue coordination chemistry here, electronic coupling between several nuclear spin units will exponentially extend the Hilbert Space available, allowing for more complex quantum operations. A promising step towards applications such as the quantum internet is to establish minimally invasive, non-demolition optical read-out schemes of the nuclear spins based in novel quantum communication devices. With this project, I aim to significantly advance multilevel molecular nuclear spin qudits through Isotopologue Coordination Chemistry. This will enable high-performance quantum operation protocols as well as the direct study of the isotopic feedback onto the bulk magnetic and optical properties.