Bhattacharyya, ArpanArpanBhattacharyyaChemissany, WissamWissamChemissanyHaque, S. ShajidulS. ShajidulHaqueYan, BinBinYan2025-08-312025-08-312022-01-0110.1140/epjc/s10052-022-10035-32-s2.0-85124008610https://d8.irins.org/handle/IITG2025/26341We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize the connection between OTOC and LE for infinite dimensions and extend it for higher-order OTOCs and multi-fold LEs. Novel applications of this intrinsic relation are proposed. We also investigated the relationship between a specific circuit complexity and LE by using the inverted oscillator model and made a conjecture about their relationship. These relationships signal a deeper connection between these three probes of quantum chaos.trueArticlehttps://link.springer.com/content/pdf/10.1140/epjc/s10052-022-10035-3.pdf14346052January 20224287arJournal41WOS:000749182900001