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quant-ph2023★ 1 cited
Quantum variational embedding for ground-state energy problems: sum of squares and cluster selection
Bowen Li, Jianfeng Lu
We introduce a sum-of-squares SDP hierarchy approximating the ground-state energy from below for quantum many-body problems, with a natural quantum embedding interpretation. We est…
quant-ph2022★ 15 cited
Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
Zhenning Cai, Jianfeng Lu, Siyao Yang
We present fast algorithms for the summation of Dyson series and the inchworm Monte Carlo method for quantum systems that are coupled with harmonic baths. The algorithms are based…