{"title":"A Computation-Enhanced High-Dimensional Quantum Gate for Silicon-Vacancy Spins","authors":"Gang Fan, Fang-Fang Du","doi":"arxiv-2409.11757","DOIUrl":null,"url":null,"abstract":"Qudit-based quantum gates in high-dimensional Hilbert space can provide a\nviable route towards effectively accelerating the speed of quantum computing\nand performing complex quantum logic operations. In the paper, we propose a\n2-qudit $4\\times4$-dimensional controlled-not (CNOT) gate for four\nsilicon-vacancy spins, in which the first two electron-spin states in\nsilicon-vacancy centers are encoded as the control qudits, and the other ones\nas the target qudits. The proposed protocol is implemented with assistance of\nan ancillary photon that serves as a common-data bus linking four motionless\nsilicon-vacancy spins placed in four independent single-sided optical\nnanocavities. Moreover, the CNOT gate works in a deterministic manner by\nperforming the relational feed-forward operations corresponding to the diverse\noutcomes of the single-photon detectors to be directed against the ancillary\nphoton. Further, it can be potentially generalized to other solid-state quantum\nsystem. Under current technological conditions, both the efficiency and\nfidelity of the 2-qudit CNOT gate are high.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11757","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Qudit-based quantum gates in high-dimensional Hilbert space can provide a
viable route towards effectively accelerating the speed of quantum computing
and performing complex quantum logic operations. In the paper, we propose a
2-qudit $4\times4$-dimensional controlled-not (CNOT) gate for four
silicon-vacancy spins, in which the first two electron-spin states in
silicon-vacancy centers are encoded as the control qudits, and the other ones
as the target qudits. The proposed protocol is implemented with assistance of
an ancillary photon that serves as a common-data bus linking four motionless
silicon-vacancy spins placed in four independent single-sided optical
nanocavities. Moreover, the CNOT gate works in a deterministic manner by
performing the relational feed-forward operations corresponding to the diverse
outcomes of the single-photon detectors to be directed against the ancillary
photon. Further, it can be potentially generalized to other solid-state quantum
system. Under current technological conditions, both the efficiency and
fidelity of the 2-qudit CNOT gate are high.