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Simulating noisy variational quantum eigensolver with local noise models

机译：模拟量子eigensolver嘈杂的变分与当地噪声模型

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摘要

The variational quantum eigensolver (VQE) is a promising algorithm to demonstrate quantum advantage on near-term noisy-intermediate-scale quantum (NISQ) computers. One central problem of VQE is the effect of noise, especially physical noise, on realistic quantum computers. We systematically study the effect of noise for the VQE algorithm by performing numerical simulations with various local noise models, including amplitude damping, dephasing, and depolarizing noise. We show that the ground state energy will deviate from the exact value as the noise probability increase, and typically, the noise will accumulate as the circuit depth increase. The results suggest that the noisy quantum system can remain entanglement at the noise level of NISQ devices by comparing the VQE solution with the mean-field solution for the many-body ground state problem. We build a noise model to capture the noise in a real quantum computer, and the corresponding numerical simulation is consistent with experimental results on IBM Quantum computers through cloud. Our work sheds new light on the practical research of noisy VQE, and the deep understanding of the noise effect of VQE will also help develop error mitigation techniques on near-term quantum computers.
机译：变分量子eigensolver (VQE)是一个有前途的算法演示量子优势在短期内noisy-intermediate-scale量子计算机(NISQ)。VQE是噪声的影响,尤其是物理噪音,在现实的量子计算机。系统地研究噪声的影响VQE算法进行数值模拟与当地各种噪声模型,包括振幅阻尼、零相位化和去极化噪音。偏离准确值作为噪音概率增加,通常情况下,噪音将作为电路深度增加积累。研究结果表明,吵闹的量子系统可以保持噪声电平的纠缠NISQ设备通过比较VQE解决方案多体的地面的平均场解决方案国家的问题。噪音在实际的量子计算机,相应的数值模拟是一致的与实验结果在IBM量子计算机通过云。在嘈杂的VQE的实际研究,深入理解VQE的噪声影响还将帮助开发错误缓解对近期的量子计算机技术。

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