Entanglement Structure of Non-Gaussian States and How to Measure It

Autor: Froland, Henry, Zache, Torsten V., Ott, Robert, Mueller, Niklas
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: Rapidly growing capabilities of quantum simulators to probe quantum many-body phenomena require new methods to characterize increasingly complex states. We present a protocol that constrains quantum states by experimentally measured correlation functions which only scales polynomially with system size. This method enables measurement of a quantum state's entanglement structure, opening a new route to study entanglement-related phenomena. Our approach extends Gaussian state parameterizations by systematically incorporating higher-order correlations. We show the protocol's usefulness in conjunction with current and forthcoming experimental capabilities, focusing on weakly interacting fermions as a proof of concept. Here, the lowest non-trivial expansion quantitatively predicts early time thermalization dynamics, including signaling the on-set of quantum chaos indicated by the entanglement Hamiltonian.
Comment: 15 pages, 10 figures
Databáze: arXiv