Numerical and geometrical aspects of flow-based variational quantum Monte Carlo

• URL: http://arxiv.org/abs/2203.14824v1
• Date: Mon, 28 Mar 2022 15:04:29 GMT
• Title: Numerical and geometrical aspects of flow-based variational quantum Monte Carlo
• Authors: James Stokes, Brian Chen, Shravan Veerapaneni
• Abstract summary: This article focuses on the example of bosons in the field amplitude (variablequadrature) basis. Some practical instructions are provided to guide the implementation of a PyTorch code. The review is intended to be accessible to researchers interested in machine learning and quantum information science.
• Score: 4.2463407840464615
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This article aims to summarize recent and ongoing efforts to simulate continuous-variable quantum systems using flow-based variational quantum Monte Carlo techniques, focusing for pedagogical purposes on the example of bosons in the field amplitude (quadrature) basis. Particular emphasis is placed on the variational real- and imaginary-time evolution problems, carefully reviewing the stochastic estimation of the time-dependent variational principles and their relationship with information geometry. Some practical instructions are provided to guide the implementation of a PyTorch code. The review is intended to be accessible to researchers interested in machine learning and quantum information science.

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