We report an accurate and efficient classical simulation of a kicked Ising quantum system on
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …

A recent quantum simulation of observables of the kicked Ising model on 127 qubits
implemented circuits that exceed the capabilities of exact classical simulation. We show that …

Tensor network is a fundamental mathematical tool with a huge range of applications in
physics, such as condensed matter physics, statistic physics, high energy physics, and …

We present a compendium of numerical simulation techniques, based on tensor network
methods, aiming to address problems of many-body quantum mechanics on a classical …

It is a critical challenge to simultaneously achieve high interpretability and high efficiency
with the current schemes of deep machine learning (ML). The tensor network (TN), a well …

Effectively compressing and optimizing tensor networks requires reliable methods for fixing
the latent degrees of freedom of the tensors, known as the gauge. Here we introduce a new …

An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …

We speed up thermal simulations of quantum many-body systems in both one-(1D) and two-
dimensional (2D) models in an exponential way by iteratively projecting the thermal density …

An algorithm for imaginary time evolution of a fermionic projected entangled pair state with
ancillas from infinite temperature down to a finite temperature state is presented. As a …

The simple update (SU) and full update (FU) are the two paradigmatic time evolution
algorithms for a tensor network known as the infinite projected entangled pair state (iPEPS) …