Quantum computers are usually made of qubits, i.e. two-dimensional quantum systems. In practice, fault-tolerant quantum computation requires entangling multiple physical qubits into an error-correctable logical qubit. Therefore, a logical qubit is necessarily a high-dimensional quantum object, even though it encodes a single bit of quantum information.

In this talk, Prof. Andrea Morello will discuss how his team encodes quantum information in a natively high-dimensional object, without the need for entangling multiple physical qubits. They use the nuclear spin of an antimony atom, which has a spin I=7/2, and thus an 8-dimensional Hilbert space. The antimony atom is a group-V donor in silicon, and can be incorporated in a silicon nanoelectronic device via ion implantation. The antimony nucleus can encode “Schrödinger cat” states, which act as the logical codewords. The encoding process itself makes use of a generalized rotating frame, which is enabled by the development of modern FPGA signal generators such as the Quantum Machines OPX. This infrastructure is the basis for a new generation of resource-efficient quantum computer hardware.