Localizable Bipartite Rank-One Ideal Measurements Have a Block-Replicated Nice-Bell Structure

arXiv:2609.22181 · quant-ph · Submitted 2026-08-27 · Read on arXiv

quant-ph

Submitted: 2026-08-27

Updated: 2026-08-27

Comments: 3 pages. Proves Conjecture 1 of Akibue and Miyazaki, Phys. Rev. A 113, 052430 (2026), arXiv:2601.02660v2

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 3× in this paper · explained in 3 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes

Sources

• Localization of joint quantum measurements on $\mathbb{C}^d \otimes \mathbb{C}^d$ by entangled resources with Schmidt number at most $d$

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