aiqbenchInformații despre AI & calcul cuantic

...

Română · beta. Traducerea a fost făcută automat și este încă în curs de revizuire. Citește pagina în engleză

perspectiva aiqbenchComunicații cuantice

This research refutes a longstanding conjecture regarding the distillability of entanglement states with negative partial transpose (NPT), demonstrating that certain one-copy-undistillable states become distillable when two copies are combined. The study provides explicit mathematical witnesses for this phenomenon across all dimensions $d \geq 3$, while also noting how standard twirling operations can erase this finite-copy distillability. These findings refine the theoretical boundaries of quantum entanglement manipulation and have direct implications for quantum communication protocols relying on specific state families.

Sursă care acoperăarXiv

Ce este aceastaLectura unui model asupra articolului și a acoperirii conexe, scrisă pentru aiqbench. Nu sunt cuvintele publicației.

Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension

arXiv6 octombrie 20261 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2608.08836v2 Announce Type: replace Abstract: Whether entanglement with a negative partial transpose (NPT) can be undistillable is a longstanding open problem. In the canonical family of DiVincenzo \textit{et al.}, the one-copy-undistillable region was conjectured to remain undistillable at all copy numbers. We refute this: in every dimension $d\geq3$, one vertex of this region is two-copy distillable, via an explicit Schmidt-rank-two tight-frame witness. The separation persists on an open set, while other states in the same region are provably two-copy undistillable. Twirling our counterexample into Werner form makes it two-copy undistillable, so this standard reduction can erase finite-copy distillability.

Abstract:Whether entanglement with a negative partial transpose (NPT) can be undistillable is a longstanding open problem. In the canonical family of DiVincenzo \textit{et al.}, the one-copy-undistillable region was conjectured to remain undistillable at all copy numbers. We refute this: in every dimension $d\geq3$, one vertex of this region is two-copy distillable, via an explicit Schmidt-rank-two tight-frame witness. The separation persists on an open set, while other states in the same region are provably two-copy undistillable. Twirling our counterexample into Werner form makes it two-copy undistillable, so this standard reduction can erase finite-copy distillability.

6+16 pages, 2 figures. Added exact rational two-copy-undistillability certificates for regions inside $BCG$ for $d=3,\ldots, 8$, plus further finite-copy and numerical analysis

arXiv:2608.08836 [quant-ph]

(or arXiv:2608.08836v2 [quant-ph] for this version)

Text integral sub licența deschisă a publicației · 123 cuvinte

Citește pe arXiv ↗Întreabă despre acest articol