Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …

Suppressing errors is the central challenge for useful quantum computing, requiring
quantum error correction (QEC),,,–for large-scale processing. However, the overhead in the …

Scaling up to a large number of qubits with high-precision control is essential in the
demonstrations of quantum computational advantage to exponentially outpace the classical …

To ensure a long-term quantum computational advantage, the quantum hardware should be
upgraded to withstand the competition of continuously improved classical algorithms and …

Quantum random sampling is the leading proposal for demonstrating a computational
advantage of quantum computers over classical computers. Recently the first large-scale …

Quantum machine learning is a rapidly growing field at the intersection of quantum
technology and artificial intelligence. This review provides a two-fold overview of several key …

The promise of quantum computers is that certain computational tasks might be executed
exponentially faster on a quantum processor than on a classical processor 1. A fundamental …

We present a theory of the entanglement transition tuned by measurement strength in qudit
chains evolved by random unitary circuits and subject to either weak or random projective …

Today's experimental noisy quantum processors can compete with and surpass all known
algorithms on state-of-the-art supercomputers for the computational benchmark task of …