Probing entanglement of a continuous basis system

• URL: http://arxiv.org/abs/2409.08378v2
• Date: Wed, 09 Jul 2025 05:17:57 GMT
• Title: Probing entanglement of a continuous basis system
• Authors: Pablo C. López Vázquez, Luis M. Piñuelas, Gustavo Montes,
• Abstract summary: We propose a method to probe entanglement in a theoretically inaccessible quantum system with either a discrete or continuous basis.<n>Our approach leverages insights into the entanglement distribution within a four-partite quantum system.<n>Our findings reveal an intriguing conservative flow-like behavior in the redistribution of entanglement among subsystems, suggesting that entanglement may exhibit conservative properties in pure composite quantum systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 novel 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 flow-like behavior in the redistribution of entanglement among subsystems, suggesting that entanglement may exhibit conservative properties in pure composite quantum systems.

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