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 …

Recurrent neural networks (RNNs), originally developed for natural language processing,
hold great promise for accurately describing strongly correlated quantum many-body …

This topical review article reports rapid progress on the generalization and application of
entanglement in non-Hermitian free-fermion quantum systems. We begin by examining the …

A bstract Symmetries and their anomalies are powerful tools for understanding quantum
systems. However, realistic systems are often subject to disorders, dissipation and …

We study the evolution of conditional mutual information (CMI) in generic open quantum
systems, focusing on one-dimensional random circuits with interspersed local noise. Unlike …

Quantum entanglement is a particularly useful characterization of topological orders which
lack conventional order parameters. In this work, we study the entanglement in topologically …

We propose the convex-roof extension of quantum conditional mutual information (" co
(QCMI)") as a diagnostic of long-range entanglement in a mixed state. We focus primarily on …

In computer and system sciences, higher-order cellular automata (HOCA) are a type of
cellular automata that evolve over multiple time steps and generate complex patterns, which …

Given a tripartite quantum state on A, B, C and the erasure channel on C, the rotated Petz
map is a recovery channel that acts on B to recover the erased quantum information. The …

Realizing topological orders and topological quantum computation is a central task of
modern physics. An important but notoriously hard question in this endeavor is how to …