Iso-entangled bases and joint measurements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909337640763392 |
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| author | Del Santo, Flavio Czartowski, Jakub Życzkowski, Karol Gisin, Nicolas |
| author_facet | Del Santo, Flavio Czartowski, Jakub Życzkowski, Karol Gisin, Nicolas |
| contents | While entanglement between distant parties has been extensively studied, entangled measurements have received relatively little attention despite their significance in understanding non-locality and their central role in quantum computation and networks. We present a systematic study of entangled measurements, providing a complete classification of all equivalence classes of iso-entangled bases for projective joint measurements on 2 qubits. The application of this classification to the triangular network reveals that the Elegant Joint Measurement, along with white noise, is the only measurement resulting in output permutation invariant probability distributions when the nodes are connected by Werner states. The paper concludes with a discussion of partial results in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_06998 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Iso-entangled bases and joint measurements Del Santo, Flavio Czartowski, Jakub Życzkowski, Karol Gisin, Nicolas Quantum Physics While entanglement between distant parties has been extensively studied, entangled measurements have received relatively little attention despite their significance in understanding non-locality and their central role in quantum computation and networks. We present a systematic study of entangled measurements, providing a complete classification of all equivalence classes of iso-entangled bases for projective joint measurements on 2 qubits. The application of this classification to the triangular network reveals that the Elegant Joint Measurement, along with white noise, is the only measurement resulting in output permutation invariant probability distributions when the nodes are connected by Werner states. The paper concludes with a discussion of partial results in higher dimensions. |
| title | Iso-entangled bases and joint measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2307.06998 |