Variational quantum simulation: a case study for understanding warm starts

arXiv:2404.10044v1 Announce Type: cross
Abstract: The barren plateau phenomenon, characterized by loss gradients that vanish exponentially with system size, poses a challenge to scaling variational quantum algorithms. Here we explore the potential of warm starts, whereby one initializes closer to a solution in the hope of enjoying larger loss variances. Focusing on an iterative variational method for learning shorter-depth circuits for quantum real and imaginary time evolution we conduct a case study to elucidate the potential and limitations of warm …

abstract algorithms arxiv case case study challenge cs.lg explore loss quant-ph quantum quantum simulation scaling simulation solution stat.ml study type understanding warm