Goal

Digital-analogue quantum computing is an approach that combines the advantages of continuous, global, always active time evolution and gate-based quantum computing. In this project, the well-known technological paradigms “Digitised Adiabatic Quantum Computing with Non-Stoquastic terms” (DAQCNS) and “Digital-Analog Quantum Computing” (DAQC) are adapted and tested for the ion trap-based quantum computers developed in the DLR QCI.

To this end, we are implementing two software modules, each of which utilises one of the two approaches to compile quantum algorithms for ion trap-based quantum computers. This software is suitable for integration into quantum-as-a-service platforms and can thus be used on the DLR QCI quantum computers in Hamburg. Finally, we will demonstrate the benefits of digital-analogue quantum computing in a use case with an industrial background. We will analyse the scalability of the two approaches with respect to the number of qubits and assess the relevance for applications in the near future.

Motivation

We want to use the technology of digital-analogue quantum computing on ion traps to highlight the advantages of this bridging technology over the digital machines that are still flawed. In this way, we want to gain new insights into the transition between analogue and digital principles. We will run quantum algorithms on the ion traps to solve problems that are potentially difficult to solve on a classical computer. These algorithms should be able to solve relevant industrial problems. This project thus offers the opportunity to open up branches of industry in Germany that have so far had little presence in the German quantum computing industry.

Challenge

A major challenge for the development of high-performance quantum computers is currently the improvement of gate quality and the handling of noisy gates. This is because current multi-qubit gates, such as controlled-not, introduce a lot of noise. Typical values for gate fidelity are 90-99.9 per cent. Single-qubit gates are usually at least one to two orders of magnitude better. Digital-analogue quantum computing can be a solution to this problem because it does not require multi-qubit gates. The method is still very new and very little research has been done into it compared to purely digital quantum computing. Further research is therefore needed in order to utilise its advantages. Above all, it is necessary to look at the specific hardware and make adjustments to the general method. For example, the native gate set of quantum computers is crucial for the performance of Digitised Adiabatic Quantum Computing with Non-Stoquastic terms. And for digital-analogue quantum computing, it is also important to understand the exact effect of the always active time evolution.