In the accompanying paper of arxiv: 2408.13472, we have established the method of
characterizing the maximal order of approximate unitary designs generated by symmetric …

Estimating quantum fermionic properties is a computationally difficult yet crucial task for the
study of electronic systems. Recent developments have begun to address this challenge by …

We introduce a new class of quantum many-body dynamics in quantum simulations,
namely'pseudochaotic dynamics,'which generates computationally indistinguishable states …

The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method
to obtain approximate solutions for combinatorial optimization tasks. In this work, we study …

Quantum chaos is a quantum many-body phenomenon that is associated with a number of
intricate properties, such as level repulsion in energy spectra or distinct scalings of out-of …

Quantum state tomography is the fundamental physical task of learning a complete classical
description of an unknown state of a quantum system given coherent access to many …

Quantum many-body systems provide a unique platform for exploring the rich interplay
between chaos, randomness, and complexity. In a recently proposed paradigm known as …

Random circuits giving rise to unitary designs are key tools in quantum information science
and many-body physics. In this work, we investigate a class of random quantum circuits with …

We analyse the entanglement structure of states generated by random constant-depth two-
dimensional quantum circuits, followed by projective measurements of a subset of sites. By …

Quantum resources like entanglement and magic are essential for characterizing the
complexity of quantum states. However, when the number of copies of quantum states and …