Quantum-classical eigensolver using multiscale entanglement renormalization

被引：5

作者：

Miao Q. ^{[1
,2
]}

Barthel T. ^{[1
,2
]}

机构：

[1] Department of Physics, Duke University, Durham, 27708, NC

[2] Duke Quantum Center, Duke University, Durham, 27701, NC

来源：

Physical Review Research | 2023年 / 5卷 / 03期

关键词：

D O I：

10.1103/PhysRevResearch.5.033141

中图分类号：

学科分类号：

摘要：

We propose a variational quantum eigensolver (VQE) for the simulation of strongly correlated quantum matter based on a multiscale entanglement renormalization ansatz (MERA) and gradient-based optimization. This MERA quantum eigensolver can have substantially lower computation costs than corresponding classical algorithms. Due to its narrow causal cone, the algorithm can be implemented on noisy intermediate-scale quantum (NISQ) devices and still describe large systems. It is particularly attractive for ion-trap devices with ion-shuttling capabilities. The number of required qubits is system-size independent and increases only to a logarithmic scaling when using quantum amplitude estimation to speed up gradient evaluations. Translation invariance can be used to make computation costs square-logarithmic in the system size and describe the thermodynamic limit. We demonstrate the approach numerically for a MERA with Trotterized disentanglers and isometries. With a few Trotter steps, one recovers the accuracy of the full MERA. © 2023 authors. Published by the American Physical Society.

引用