We present exact results on a novel kind of emergent random matrix universality that
quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an …

We have generalized the well-known statement that the Clifford group is a unitary 3-design
into symmetric cases by extending the notion of unitary design. Concretely, we have proven …

We introduce twisted unitary t-groups, a generalization of unitary t-groups under a twisting
by an irreducible representation. We then apply representation theoretic methods to the Knill …

We study the robustness of the evolution of a quantum system against small uncontrolled
variations in parameters in the Hamiltonian. We show that the fidelity susceptibility, which …

Thermal properties of nanomaterials are crucial to not only improving our fundamental
understanding of condensed matter systems, but also to develo** novel materials for …

The Schur transform, which block-diagonalizes the tensor representation $ U^{\otimes n} $
of the unitary group $\mathbf {U} _d $ on $ n $ qudits, is an important primitive in quantum …

A candidate application for quantum computers is to simulate the low-temperature properties
of quantum systems. For this task, there is a well-studied quantum algorithm that performs …

Thermal pure state algorithms, which employ pure quantum states representing thermal
equilibrium states instead of statistical ensembles, are useful both for numerical simulations …

Quantum statistical mechanics allows us to extract thermodynamic information from a
microscopic description of a many-body system. A key step is the calculation of the density of …

We study the Sachdev-Ye-Kitaev (SYK) model--an important toy model for quantum gravity
on IBM's superconducting qubit quantum computers. By using a graph-coloring algorithm to …