Quantum technologies rely on uniquely quantum properties and processes to outperform classical systems. While the list of these assets expands, many lack measurable benchmarks, limiting their practical implementation and comparability across platforms. Our project addresses this gap by developing benchmarks for two key resources: modular quantum processes, which extend quantum computations beyond the circuit model, and continuous-variable (CV) entanglement, a key element in accessing the complexity of infinite-dimensional systems. The new benchmarks will accelerate their integration into emerging quantum technologies.

We aim to: (1) Develop efficient benchmarks for modular processes to enable their implementation and optimization; (2) Construct optimal CV measurement bases for entanglement detection in new quantum platforms; (3) Explore the role of modular processes and discretised CV measurement bases in quantum sensing.

To achieve objective (1), we will design benchmarking protocols for modular processes to approximate their channel fidelity with a limited number of measurements, applying quantum optimal control (QOC) to a computational model to refine an exemplary operation. For objective (2), we will analytically formulate benchmarks for the quality of discretised bases in the context of CV entanglement certification. They will subsequently be optimised numerically, integrating experimental constraints. Finally, we will apply the tools of quantum metrology to achieve objective (3). We will evaluate how modular processes enhance metrological precision and how optimized CV measurements enable entanglement-based imaging techniques.

This project pioneers systematic benchmarking for emerging quantum resources, introducing new certification tools for modular processes and CV entanglement.

Here, the project extends QOC techniques to higher-order quantum operations. Furthermore, the benchmarks are verified in their practicability through experimental collaborations.

Finally, the developed techniques are applied to quantum sensing, exploring their advantages in precision measurements. LeQuaC is led by Dr Phila Rembold, with mentorship from Dr Nicolai Friis at TU Wien, and collaborations with Prof Gerhard Kirchmair (superconducting qubits, Innsbruck Uni. & IQOQI) and Prof Philipp Haslinger (electron-photon pairs, TU Wien), as well as Dr Elizabeth Agudelo (quantum optics theory, TU Wien) and Dr Mohammad Mehboudi (quantum metrology, TU Wien).