High-dimensional entanglement witnessed by correlations in arbitrary bases
Abstract Certifying entanglement is an important step in the development of many quantum technologies, especially for higher-dimensional systems, where entanglement promises increased capabilities for quantum communication and computation. A key feature distinguishing entanglement from classical cor...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-03-01
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| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-025-00990-6 |
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| _version_ | 1850094971413069824 |
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| author | Nicky Kai Hong Li Marcus Huber Nicolai Friis |
| author_facet | Nicky Kai Hong Li Marcus Huber Nicolai Friis |
| author_sort | Nicky Kai Hong Li |
| collection | DOAJ |
| description | Abstract Certifying entanglement is an important step in the development of many quantum technologies, especially for higher-dimensional systems, where entanglement promises increased capabilities for quantum communication and computation. A key feature distinguishing entanglement from classical correlations is the occurrence of correlations for complementary measurement bases. In particular, mutually unbiased bases (MUBs) are a paradigmatic example that is well-understood and routinely employed for entanglement certification. However, implementing unbiased measurements exactly is challenging and not generically possible for all physical platforms. Here, we extend the entanglement-certification toolbox from correlations in MUBs to arbitrary bases. This practically significant simplification paves the way for efficient characterizations of high-dimensional entanglement in a wide range of physical systems. Furthermore, we introduce a simple three-MUBs construction for all dimensions without using the Wootters–Fields construction, potentially simplifying experimental requirements when measurements in more than two MUBs are needed, especially in high-dimensional settings. |
| format | Article |
| id | doaj-art-b1dcce50bc5e4b0abc675d764fbcc6a4 |
| institution | DOAJ |
| issn | 2056-6387 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj-art-b1dcce50bc5e4b0abc675d764fbcc6a42025-08-20T02:41:33ZengNature Portfolionpj Quantum Information2056-63872025-03-011111910.1038/s41534-025-00990-6High-dimensional entanglement witnessed by correlations in arbitrary basesNicky Kai Hong Li0Marcus Huber1Nicolai Friis2Atominstitut, Technische Universität WienAtominstitut, Technische Universität WienAtominstitut, Technische Universität WienAbstract Certifying entanglement is an important step in the development of many quantum technologies, especially for higher-dimensional systems, where entanglement promises increased capabilities for quantum communication and computation. A key feature distinguishing entanglement from classical correlations is the occurrence of correlations for complementary measurement bases. In particular, mutually unbiased bases (MUBs) are a paradigmatic example that is well-understood and routinely employed for entanglement certification. However, implementing unbiased measurements exactly is challenging and not generically possible for all physical platforms. Here, we extend the entanglement-certification toolbox from correlations in MUBs to arbitrary bases. This practically significant simplification paves the way for efficient characterizations of high-dimensional entanglement in a wide range of physical systems. Furthermore, we introduce a simple three-MUBs construction for all dimensions without using the Wootters–Fields construction, potentially simplifying experimental requirements when measurements in more than two MUBs are needed, especially in high-dimensional settings.https://doi.org/10.1038/s41534-025-00990-6 |
| spellingShingle | Nicky Kai Hong Li Marcus Huber Nicolai Friis High-dimensional entanglement witnessed by correlations in arbitrary bases npj Quantum Information |
| title | High-dimensional entanglement witnessed by correlations in arbitrary bases |
| title_full | High-dimensional entanglement witnessed by correlations in arbitrary bases |
| title_fullStr | High-dimensional entanglement witnessed by correlations in arbitrary bases |
| title_full_unstemmed | High-dimensional entanglement witnessed by correlations in arbitrary bases |
| title_short | High-dimensional entanglement witnessed by correlations in arbitrary bases |
| title_sort | high dimensional entanglement witnessed by correlations in arbitrary bases |
| url | https://doi.org/10.1038/s41534-025-00990-6 |
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