Density of states of quantum systems from free probability theory: a brief overview
quant-ph, cond-mat.stat-mech
Submitted: 2025-12-03
Updated: 2026-09-23
Terminology
Sources
- Lecture Notes on "Free Probability Theory"
- Mastering the Master Field
- Large N Gauge Theory -- Expansions and Transitions
- Various Shades of Blue's Functions
- Variational Master Field for Large-N Interacting Matrix Models - Free Random Variables on Trial
- Eigenstate Thermalization Hypothesis and Free Probability
- Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems
- Long-time Freeness in the Kicked Top
- Scaling of free cumulants in closed system-bath setups
- Free Independence and the Noncrossing Partition Lattice in Dual-Unitary Quantum Circuits
- Generalized Free Cumulants for Quantum Chaotic Systems
- Quantum Signatures of Chaos from Free Probability
- Free Probability in a Minimal Quantum Circuit Model
- Free Independence and Unitary Design from Random Matrix Product Unitaries
- Stability of Periodically Driven Topological Phases against Disorder
- Random matrix techniques in quantum information theory
- Beyond islands: A free probabilistic approach
- Free mutual information and higher-point OTOCs
- Non-commutative probability insights into the double-scaling limit SYK Model with constant perturbations: moments cumulants and $q$-independence
- Isotropic Entanglement
Related papers
- Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
- Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
- Polynomial-time classical and quantum simulation of quantum impurity models
- Theory of quantum-enhanced interferometry with general Markovian light sources
- A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
- Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity