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    Probing entanglement of a continuous-basis system

    P. C. López Vázquez* and L. M. Piñuelas

    G. Montes

    • Departamento de Ciencias Naturales y Exactas, Universidad de Guadalajara, Carretera Guadalajara, Ameca Km. 45.5 C. P. 46600, Ameca, Jalisco, México

    • Departamento de Física, Universidad de Guadalajara, Boulevard Marcelino García Barragan y Calzada Olímpica, C. P. 44840, Guadalajara, Jalisco, México

    • *Contact author: pablo.lopez@academicos.udg.mx

    Phys. Rev. A 113, 012418 – Published 7 January, 2026

    DOI: https://doi.org/10.1103/rvvb-bqlb

    Abstract

    In this paper, we propose a method to probe entanglement in a theoretically inaccessible quantum system with either a discrete or continuous basis. Our approach leverages insights into the entanglement distribution within a four-partite quantum system, comprising two qubit-oscillator subsystems with dephasing interactions between each qubit-oscillator pair. The method involves measurements applied only to the accessible two-qubit subsystem, enabling a qualitative detection and characterization of quantum correlations in the inaccessible two-oscillator subsystem. This approach provides a framework for probing entanglement in continuous-basis systems where traditional measures are often inapplicable due to their complexity. Our findings also reveal an intriguing conservative flowlike behavior in the redistribution of entanglement among subsystems, suggesting that entanglement may exhibit conservative properties in pure composite quantum systems.

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