Simulating quantum many-body systems is a key application for emerging quantum
processors. While analog quantum simulation has already demonstrated quantum …

A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

The holographic principle, theorized to be a property of quantum gravity, postulates that the
description of a volume of space can be encoded on a lower-dimensional boundary. The …

The field of quantum computing has grown from concept to demonstration devices over the
past 20 years. Universal quantum computing offers efficiency in approaching problems of …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Interactions in quantum systems can spread initially localized quantum information into the
exponentially many degrees of freedom of the entire system. Understanding this process …

Quantum scrambling describes the spreading of information into many degrees of freedom
in quantum systems, such that the information is no longer accessible locally but becomes …

The dynamics of quantum information in strongly interacting systems, known as quantum
information scrambling, has recently become a common thread in our understanding of …

Tracking the dynamics of physical systems in real time is a prime application of quantum
computers. Using a trapped-ion system with up to six qubits, we simulate the real-time …

We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …