Resource efficient certification of system environment entanglement solely from reduced system dynamics

• URL: http://arxiv.org/abs/2510.17140v1
• Date: Mon, 20 Oct 2025 04:17:29 GMT
• Title: Resource efficient certification of system environment entanglement solely from reduced system dynamics
• Authors: Jhen-Dong Lin, Pao-Wen Tu, Kuan-Yi Lee, Neill Lambert, Adam Miranowicz, Franco Nori, Yueh-Nan Chen,
• Abstract summary: Certifying nonclassical correlations presents a major challenge in open quantum systems coupled to inaccessible environments.<n>Recent works have shown that, in autonomous pure dephasing scenarios, quantum discord with the environment can be certified from system-only dynamics.<n>We present a method that enables the certification of system-environment quantum entanglement solely from the reduced dynamics of the system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Certifying nonclassical correlations typically requires access to all subsystems, presenting a major challenge in open quantum systems coupled to inaccessible environments. Recent works have shown that, in autonomous pure dephasing scenarios, quantum discord with the environment can be certified from system-only dynamics via the Hamiltonian ensemble formulation. However, this approach leaves open whether stronger correlations, such as entanglement, can be certified. Moreover, its reliance on Fourier analysis requires full-time dynamics, which is experimentally resource-intensive and provides limited information about when such correlations are established during evolution. In this work, we present a method that enables the certification of system-environment quantum entanglement solely from the reduced dynamics of the system. The method is based on the theory of mixed-unitary channels and applies to general non-autonomous pure dephasing scenarios. Crucially, it relaxes the need for full-time dynamics, offering a resource-efficient approach that also reveals the precise timing of entanglement generation. We experimentally validate this method on a Quantinuum trapped-ion quantum processor with a controlled-dephasing model. Finally, we highlight its potential as a tool for certifying gravitationally induced entanglement.

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