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

We show that the standard 1+ 1 DZ 2× Z 2 cluster model has a noninvertible global
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …

Quantum many-body systems with a non-Abelian topological order can host anyonic
quasiparticles. It has been proposed that anyons could be used to encode and manipulate …

Quantum computing involves the preparation of entangled states across many qubits. This
requires efficient preparation protocols that are stable to noise and gate imperfections. Here …

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 propose a general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …

We introduce protocols to prepare many-body quantum states with quantum circuits assisted
by local operations and classical communication. We show that by lifting the requirement of …

We prove that random quantum circuits on any geometry, including a 1D line, can form
approximate unitary designs over $ n $ qubits in $\log n $ depth. In a similar manner, we …

Adaptive quantum circuits, which combine local unitary gates, midcircuit measurements, and
feedforward operations, have recently emerged as a promising avenue for efficient state …

We implement and characterize a protocol that enables arbitrary local controls in a dipolar
atom array, where the degree of freedom is encoded in a pair of Rydberg states. Our …