Finding Out All Locally Indistinguishable Sets Of Generalized Bell States

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Jiang-Tao Yuan^1,2, Ying-Hui Yang²in Cai-Hong Wang^1,2

¹College of Science, Univerza Wuxi, Wuxi, 214105, Kitajska
²Šola za matematiko in informacijske znanosti, Politehnična univerza Henan, Jiaozuo, 454000, Kitajska

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Minimalizem

Na splošno je za bipartitni kvantni sistem $mathbb{C}^{d}otimesmathbb{C}^{d}$ in celo število $k$, tako da $4leq kle d$, malo potrebnih in zadostnih pogojev za lokalno razlikovanje nizov $k$ generaliziranih Bellovih stanj (GBS) in je težko lokalno razlikovati $k$-GBS nize. Namen tega prispevka je v celoti rešiti problem lokalne diskriminacije nizov GBS v nekaterih bipartitnih kvantnih sistemih. podani so trije praktični in učinkoviti zadostni pogoji, rezultati Fan$^{,}$s in Wang et al.$^{,}$s [Phys Rev Lett 92, 177905 (2004); Phys Rev A 99, 022307 (2019)] je mogoče izpeljati kot posebne primere teh pogojev. Drugič v $mathbb{C}^{4}otimesmathbb{C}^{4}$, nujen in zadosten pogoj za lokalno razlikovanje Zagotovljeni so nizi GBS in na voljo je seznam vseh lokalno neločljivih nizov 4-GBS, nato pa je problem lokalne diskriminacije nizov GBS popolnoma odpravljen.
$mathbb{C}^{5}otimesmathbb{C}^{5}$, dobimo jedrnat potreben in zadosten pogoj za enosmerno lokalno diskriminacijo množic GBS, kar daje pritrdilen odgovor na primer $d=5$ problema, ki so ga predlagali Wang et al.

► BibTeX podatki

@article{Yuan2022findingoutall, doi = {10.22331/q-2022-07-14-763}, url = {https://doi.org/10.22331/q-2022-07-14-763}, title = {Finding out all locally indistinguishable sets of generalized {B}ell states}, author = {Yuan, Jiang-Tao and Yang, Ying-Hui and Wang, Cai-Hong}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {6}, pages = {763}, month = jul, year = {2022} }

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Navedel

[1] Mao-Sheng Li, Fei Shi, and Yan-Ling Wang, “Local discrimination of generalized Bell states via commutativity”, Fizični pregled A 105 3, 032455 (2022).

Zgornji citati so iz SAO / NASA ADS (zadnjič posodobljeno 2022-07-29 14:39:08). Seznam je morda nepopoln, saj vsi založniki ne dajejo ustreznih in popolnih podatkov o citiranju.

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