Quantum information spreading via higher-order operator correlators
Recorded: Sept. 22, 2026, 3:09 p.m.
| Original | Summarized |
[2609.05472] Quantum information spreading via higher-order operator correlators
Skip to main content Search Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2609.05472 (quant-ph) [Submitted on 21 Aug 2026] 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. Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th) ACM classes: Cite as: Focus to learn more arXiv-issued DOI via DataCite Submission history From: Mehmet A. Süzen PhD [view email] [v1]
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The work by M Süzen introduces a method for measuring the spreading of quantum information by employing N-operator correlators. This approach draws inspiration from the concept of N-point correlation functions utilized in cosmology to formulate a generalized Out-of-Time-Ordered Correlator, which the author terms the N-Operator Correlator (NOC). The motivation behind the NOC formulation is to overcome the limitations inherent in traditional Out-of-Time-Ordered Correlators, which are often restricted to analyzing only two operators. By incorporating the NOC, the framework allows for the inclusion of a larger set of measurement probes when assessing the degree of quantum information spreading. The core contribution of this work is the development of these generalized operator correlators to provide a more comprehensive perspective on quantum dynamics. The methodology is demonstrated using analytically tractable toy systems to illustrate the concepts. Specifically, the research computes the thermal averages of operator time evolutions at a finite temperature for two specific systems: a single qubit subjected to a longitudinal field and an XYZ two-qubit system. These toy systems serve to validate the proposed framework for generalized operator correlators in the context of quantum mechanics. Ultimately, the paper establishes a foundational introduction to the concepts of generalized operator correlators within quantum physics by utilizing these N-operator correlators to characterize quantum information spreading. |