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 …

Trapped ions offer long coherence times and high fidelity, programmable quantum
operations, making them a promising platform for quantum simulation of condensed matter …

We describe and benchmark a new quantum charge-coupled device (QCCD) trapped-ion
quantum computer based on a linear trap with periodic boundary conditions, which …

Quantum simulation traditionally relies on unitary dynamics, inherently imposing efficiency
constraints on the generation of intricate entangled states. In principle, these limitations can …

Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …

Midcircuit operations, such as qubit state measurement or reset, are central to many tasks in
quantum information science, including quantum computing, entanglement generation, and …

We explore the effect of decoherence on many-body mixed states from a purification
perspective. Here, quantum channels map to unitary transformations acting on a purified …

We study the problem of observing quantum collective phenomena emerging from large
numbers of measurements. These phenomena are difficult to observe in conventional …

We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …

The ground state of the spin-1 Affleck, Kennedy, Lieb, and Tasaki (AKLT) model is a
paradigmatic example of both a matrix product state and a symmetry-protected topological …