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Bounds on the multipartite entanglement of superpositions

2007/06/30 by Wei Song, Nai-Le Liu, Zeng-Bing Chen +1 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.76.054303

published as Phys. Rev. A 76, 054303 (2007) · 4 pages, 2 figure. few typos corrected

openalex publication_date 2007/11/02 · arxiv created 2007/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the lower and upper bounds on the entanglement of a given multipartite superposition state in terms of the entanglement of the states being superposed. The first entanglement measure we use is the geometric measure and the second is the q-squashed entanglement. These bounds allow us to estimate the amount of the multipartite entanglement of superpositions. We also show that two states of high fidelity to one another do not necessarily have nearly the same q-squashed entanglement.

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