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Tight Trade-off Between Internal, Assisted, and External Entanglement

2026/04/20 by Limin Gao, Chenxiao Wang · 1 voice
Physics and Astronomy · #quant-ph

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Abstract

We derive a tight and saturable monogamy relation for three-qubit pure states that bounds the sum of concurrence and concurrence of assistance by the entanglement with an external qubit. The bound decreases strictly with increasing external entanglement, establishing a precise trade-off between internal and environment-induced entanglement. Equivalent formulations in terms of negativity and its convex-roof extensions follow. Our result provides a unified and quantitative constraint on entanglement distribution in open multipartite quantum systems.

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