Entanglement measures for detectability

• URL: http://arxiv.org/abs/2311.11189v2
• Date: Sun, 31 Dec 2023 02:29:18 GMT
• Title: Entanglement measures for detectability
• Authors: Masahito Hayashi and Yuki Ito
• Abstract summary: We propose new entanglement measures as the detection performance based on the hypothesis testing setting. We clarify how our measures work for detecting an entangled state by extending the quantum Sanov theorem. We present how to derive entanglement witness to detect the given entangled state by using the geometrical structure of this measure.
• Score: 53.64687146666141
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose new entanglement measures as the detection performance based on the hypothesis testing setting. We clarify how our measures work for detecting an entangled state by extending the quantum Sanov theorem. Our analysis covers the finite-length setting. Exploiting this entanglement measure, we present how to derive entanglement witness to detect the given entangled state by using the geometrical structure of this measure. We derive their calculation formulas for maximally correlated states, and propose their algorithms that work for general entangled states. In addition, we investigate how our algorithm works for solving the membership problem for separability.

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