{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,10]],"date-time":"2026-09-10T02:51:49Z","timestamp":1789008709588,"version":"build-2803163510"},"reference-count":30,"publisher":"MDPI AG","issue":"13","license":[{"start":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T00:00:00Z","timestamp":1656460800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"The Russian Science Foundation of the Russian Federation","award":["22-23-01186"],"award-info":[{"award-number":["22-23-01186"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nanomaterials"],"abstract":"<jats:p>Due to the presence of a strong spin\u2013orbit interaction, hole qubits in germanium are increasingly being considered as candidates for quantum computing. These objects make it possible to create electrically controlled logic gates with the basic properties of scalability, a reasonable quantum error correction, and the necessary speed of operation. In this paper, using the methods of quantum-mechanical calculations and considering the non-collinear magnetic interactions, the quantum states of the system 2D structure of Ge in the presence of even and odd numbers of holes were investigated. The spatial localizations of hole states were calculated, favorable quantum states were revealed, and the magnetic structural characteristics of the system were analyzed.<\/jats:p>","DOI":"10.3390\/nano12132244","type":"journal-article","created":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T22:43:28Z","timestamp":1656542608000},"page":"2244","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["DFT Analysis of Hole Qubits Spin State in Germanium Thin Layer"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5410-8661","authenticated-orcid":false,"given":"Andrey","family":"Chibisov","sequence":"first","affiliation":[{"name":"Computing Center, Far Eastern Branch of the Russian Academy of Sciences, 680000 Khabarovsk, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1763-3651","authenticated-orcid":false,"given":"Maxim","family":"Aleshin","sequence":"additional","affiliation":[{"name":"Computing Center, Far Eastern Branch of the Russian Academy of Sciences, 680000 Khabarovsk, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mary","family":"Chibisova","sequence":"additional","affiliation":[{"name":"Computing Center, Far Eastern Branch of the Russian Academy of Sciences, 680000 Khabarovsk, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1103\/PhysRevA.57.120","article-title":"Quantum Computation with Quantum Dots","volume":"57","author":"Loss","year":"1998","journal-title":"Phys. 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