Meng-Ya Dong, Su-Juan Zhang, Chen-Ming Bai, Lu Liu
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Subsequently, based on the partitioning mode, nonlocal orthogonal product states in <inline-formula>\n<tex-math><?CDATA $ (\\mathbb{C}^{3})^{\\otimes 6 }$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"lplad3817ieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $(\\mathbb{C}^{4})^{\\otimes 6 }$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"lplad3817ieqn2.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> are given. Finally, we construct nonlocal orthogonal product states in <inline-formula>\n<tex-math><?CDATA $(\\mathbb{C}^{d})^{\\otimes 2n}$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>\n<inline-graphic xlink:href=\"lplad3817ieqn3.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and discuss the cases where <italic toggle=\"yes\">d</italic> is odd and even. Our results demonstrate the phenomenon of nonlocality without entanglement in a 2<italic toggle=\"yes\">n</italic>-partite system.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"50 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum nonlocality without entanglement in a 2n-partite system\",\"authors\":\"Meng-Ya Dong, Su-Juan Zhang, Chen-Ming Bai, Lu Liu\",\"doi\":\"10.1088/1612-202x/ad3817\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In recent years, researchers focused their attention on the construction of nonlocal product states in multipartite quantum systems. This paper proposes a novel partitioning method for multipartite quantum systems, aiming to improve the operation efficiency. Firstly, we divide 2<italic toggle=\\\"yes\\\">n</italic> subsystems into <italic toggle=\\\"yes\\\">n</italic> parts two by two and implement orthogonality-preserving local measurement on the partitioned composite systems. Subsequently, based on the partitioning mode, nonlocal orthogonal product states in <inline-formula>\\n<tex-math><?CDATA $ (\\\\mathbb{C}^{3})^{\\\\otimes 6 }$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\\\"double-struck\\\">C</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\\\"false\\\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"lplad3817ieqn1.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and <inline-formula>\\n<tex-math><?CDATA $(\\\\mathbb{C}^{4})^{\\\\otimes 6 }$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\\\"double-struck\\\">C</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\\\"false\\\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"lplad3817ieqn2.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> are given. Finally, we construct nonlocal orthogonal product states in <inline-formula>\\n<tex-math><?CDATA $(\\\\mathbb{C}^{d})^{\\\\otimes 2n}$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\\\"double-struck\\\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\\\"false\\\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>\\n<inline-graphic xlink:href=\\\"lplad3817ieqn3.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and discuss the cases where <italic toggle=\\\"yes\\\">d</italic> is odd and even. Our results demonstrate the phenomenon of nonlocality without entanglement in a 2<italic toggle=\\\"yes\\\">n</italic>-partite system.\",\"PeriodicalId\":17940,\"journal\":{\"name\":\"Laser Physics Letters\",\"volume\":\"50 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Laser Physics Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1612-202x/ad3817\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Laser Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1612-202x/ad3817","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
摘要
近年来，研究人员将注意力集中在多方量子系统中非局域积态的构建上。本文提出了一种新颖的多方量子系统划分方法，旨在提高运行效率。首先，我们将 2n 个子系统两两分割成 n 个部分，并在分割后的复合系统上实现正交保全局部测量。然后，根据分割模式，给出 (C3)⊗6 和 (C4)⊗6 中的非局部正交积状态。最后，我们构建了 (Cd)⊗2n 中的非局部正交积状态，并讨论了 d 为奇数和偶数的情况。我们的结果证明了在 2n 对偶系统中没有纠缠的非局域现象。
Quantum nonlocality without entanglement in a 2n-partite system
In recent years, researchers focused their attention on the construction of nonlocal product states in multipartite quantum systems. This paper proposes a novel partitioning method for multipartite quantum systems, aiming to improve the operation efficiency. Firstly, we divide 2n subsystems into n parts two by two and implement orthogonality-preserving local measurement on the partitioned composite systems. Subsequently, based on the partitioning mode, nonlocal orthogonal product states in (C3)⊗6 and (C4)⊗6 are given. Finally, we construct nonlocal orthogonal product states in (Cd)⊗2n and discuss the cases where d is odd and even. Our results demonstrate the phenomenon of nonlocality without entanglement in a 2n-partite system.
期刊介绍：
Laser Physics Letters encompasses all aspects of laser physics sciences including, inter alia, spectroscopy, quantum electronics, quantum optics, quantum electrodynamics, nonlinear optics, atom optics, quantum computation, quantum information processing and storage, fiber optics and their applications in chemistry, biology, engineering and medicine.
The full list of subject areas covered is as follows:
-physics of lasers-
fibre optics and fibre lasers-
quantum optics and quantum information science-
ultrafast optics and strong-field physics-
nonlinear optics-
physics of cold trapped atoms-
laser methods in chemistry, biology, medicine and ecology-
laser spectroscopy-
novel laser materials and lasers-
optics of nanomaterials-
interaction of laser radiation with matter-
laser interaction with solids-
photonics
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