This lecture is organised as part of the CERN QTI online lecture series.

Simulating many-body quantum systems is a promising task for quantum computers. However, early fault-tolerant devices are not expected to correct arbitrary amounts of error, making the quest for better algorithms an important task. Random product formulas, such as qDrift, being unified with importance sampling, allow to sample from arbitrary distributions while controlling both the bias, as well as the statistical fluctuations. The speaker will show that the simulation cost can be reduced while achieving the same accuracy by considering the individual simulation cost during the sampling stage. The goal is to pave the way for tailored qDrift implementations on specific problems and hardware.

As a bonus, the speaker will also discuss how to compute linear response functions from nuclear scattering experiments using quantum hardware. Circuit design optimisation, different purification-based error mitigation protocols, and some hardware results will be covered.

For more details, visit: https://indico.cern.ch/event/1251853/

The recording of this talk is now available at: https://www.youtube.com/watch?v=ZPcKHTC5bZk