Quantum coherence bounds the distributed discords
Abstract Establishing quantum correlations between two remote parties by sending an information carrier is an essential step of many protocols in quantum information processing. We obtain trade-off relations between discords and coherence within a bipartite system. Then we study the distribution of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2022-03-01
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| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-022-00543-1 |
| _version_ | 1818356800921010176 |
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| author | Zhi-Xiang Jin Xianqing Li-Jost Shao-Ming Fei Cong-Feng Qiao |
| author_facet | Zhi-Xiang Jin Xianqing Li-Jost Shao-Ming Fei Cong-Feng Qiao |
| author_sort | Zhi-Xiang Jin |
| collection | DOAJ |
| description | Abstract Establishing quantum correlations between two remote parties by sending an information carrier is an essential step of many protocols in quantum information processing. We obtain trade-off relations between discords and coherence within a bipartite system. Then we study the distribution of coherence in a bipartite quantum state by using the relations of relative entropy and mutual information. We show that the increase of the relative entropy of discord between two remote parties is bounded by the nonclassical correlations quantified by the relative entropy of coherence between the carrier and two remote parties, providing an optimal protocol for discord distribution and showing that quantum correlations are the essential resource for such tasks. |
| first_indexed | 2024-12-13T20:02:59Z |
| format | Article |
| id | doaj.art-6623f23b0c434a8c8e7c9a72ca24eed7 |
| institution | Directory Open Access Journal |
| issn | 2056-6387 |
| language | English |
| last_indexed | 2024-12-13T20:02:59Z |
| publishDate | 2022-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj.art-6623f23b0c434a8c8e7c9a72ca24eed72022-12-21T23:33:06ZengNature Portfolionpj Quantum Information2056-63872022-03-01811610.1038/s41534-022-00543-1Quantum coherence bounds the distributed discordsZhi-Xiang Jin0Xianqing Li-Jost1Shao-Ming Fei2Cong-Feng Qiao3School of Physics, University of Chinese Academy of SciencesMax Planck Institute for Mathematics in the SciencesSchool of Mathematical Sciences, Capital Normal UniversitySchool of Physics, University of Chinese Academy of SciencesAbstract Establishing quantum correlations between two remote parties by sending an information carrier is an essential step of many protocols in quantum information processing. We obtain trade-off relations between discords and coherence within a bipartite system. Then we study the distribution of coherence in a bipartite quantum state by using the relations of relative entropy and mutual information. We show that the increase of the relative entropy of discord between two remote parties is bounded by the nonclassical correlations quantified by the relative entropy of coherence between the carrier and two remote parties, providing an optimal protocol for discord distribution and showing that quantum correlations are the essential resource for such tasks.https://doi.org/10.1038/s41534-022-00543-1 |
| spellingShingle | Zhi-Xiang Jin Xianqing Li-Jost Shao-Ming Fei Cong-Feng Qiao Quantum coherence bounds the distributed discords npj Quantum Information |
| title | Quantum coherence bounds the distributed discords |
| title_full | Quantum coherence bounds the distributed discords |
| title_fullStr | Quantum coherence bounds the distributed discords |
| title_full_unstemmed | Quantum coherence bounds the distributed discords |
| title_short | Quantum coherence bounds the distributed discords |
| title_sort | quantum coherence bounds the distributed discords |
| url | https://doi.org/10.1038/s41534-022-00543-1 |
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