Quantum Neural Network States: A Brief Review of Methods and Applications

Understand

One of the main challenges of quantum many-body physics is that the dimensionality of the Hilbert space grows exponentially with the system size, which makes it extremely difficult to solve the Schr\"{o}dinger equations of the system.

• But typically, many physical systems have a simplified internal structure which makes the parameters needed to characterize their ground states exponentially smaller.
• This makes many numerical methods possible in capture the physics of the system.
• Among these modern numerical techniques, neural networks, which show great power in approximating functions and extracting features of the big data, are now attracting many interests.