Quantum information spreading via higher-order operator correlators

View PDF HTML (experimental) Abstract:We provide a perspective into measuring the quantum information spreading by introducing N-operator correlators. Leveraging the idea from N-point correlation function from cosmology, we formulate a generalized Out-of-Time-Ordered Correlator (OTOC), called N-Operator Correlator (NOC). Such formulation can reduce the effect of restricted analysis associated with selecting only two operators for OTOC. NOC can take into account a larger set of measurement probes in measuring the degree of quantum information spreading. We demonstrate these concepts with two analytically tractable toy systems with computing thermal averages of operator time evolutions at a finite temperature: a single qubit in longitudinal field and XYZ two-qubit system. Our perspective serves as a basic introduction to generalized operator correlators in quantum mechanics. Comments: 7 pages, 2 figures, 32 equations and 43 citations Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th) MSC classes: 81S99, 82Bxx, 60K99 ACM classes: G.3; G.2.1 Cite as: arXiv:2609.05472 [quant-ph] (or arXiv:2609.05472v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2609.05472 arXiv-issued DOI via DataCite Submission history From: Mehmet A. Süzen PhD [view email] [v1] Fri, 21 Aug 2026 08:44:11 UTC (77 KB)