Towards Quantum Simulations in Particle Physics and Beyond on Noisy Intermediate-Scale Quantum Devices
Lena Funcke, Tobias Hartung, Karl Jansen, Stefan K\"uhn, Manuel, Schneider, Paolo Stornati, Xiaoyang Wang

TL;DR
This paper reviews two advances in quantum algorithms and error mitigation techniques that improve the feasibility of reliable quantum simulations for high energy physics and other fields on noisy intermediate-scale quantum devices.
Contribution
It introduces the dimensional expressivity analysis for designing minimal yet expressive quantum circuits and presents an efficient readout error mitigation method.
Findings
Enhanced quantum simulation accuracy on NISQ devices
Reduced quantum circuit complexity through expressivity analysis
Improved error mitigation leading to better variational quantum eigensolver results
Abstract
We review two algorithmic advances that bring us closer to reliable quantum simulations of model systems in high energy physics and beyond on noisy intermediate-scale quantum (NISQ) devices. The first method is the dimensional expressivity analysis of quantum circuits, which allows for constructing minimal but maximally expressive quantum circuits. The second method is an efficient mitigation of readout errors on quantum devices. Both methods can lead to significant improvements in quantum simulations, e.g., when variational quantum eigensolvers are used.
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