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

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Hauptverfasser: Gao, Limin, Wang, Chenxiao
Format: Preprint
Veröffentlicht: 2026
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author Gao, Limin
Wang, Chenxiao
author_facet Gao, Limin
Wang, Chenxiao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_17867
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Tight Trade-off Between Internal, Assisted, and External Entanglement
Gao, Limin
Wang, Chenxiao
Quantum Physics
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.
title Tight Trade-off Between Internal, Assisted, and External Entanglement
topic Quantum Physics
url https://arxiv.org/abs/2604.17867