{"title":"与混合相比，量子加法带来的无序性更小，并且可以与非相干信道交换","authors":"Chiranjib Mukhopadhyay, A. Pati, S. Sazim","doi":"10.1088/2633-1357/abb2af","DOIUrl":null,"url":null,"abstract":"We prove a generalized version of a previously conjectured inequality by Zhang et al (Zhang et al 2018 Phys. Lett. A 382, 1516–23) for the quantum addition operation defined by Datta et al (Audenaert et al 2016 J. Math. Phy. 57, 052202) in the context of proving an entropy power inequality for qubits. We also show that the quantum addition operation commutes with an incoherent channel, which may have possible implications for resource theories of coherence in optical settings.","PeriodicalId":93771,"journal":{"name":"IOP SciNotes","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum addition imparts less disorder than mixing and commutes with incoherent channels\",\"authors\":\"Chiranjib Mukhopadhyay, A. Pati, S. Sazim\",\"doi\":\"10.1088/2633-1357/abb2af\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a generalized version of a previously conjectured inequality by Zhang et al (Zhang et al 2018 Phys. Lett. A 382, 1516–23) for the quantum addition operation defined by Datta et al (Audenaert et al 2016 J. Math. Phy. 57, 052202) in the context of proving an entropy power inequality for qubits. We also show that the quantum addition operation commutes with an incoherent channel, which may have possible implications for resource theories of coherence in optical settings.\",\"PeriodicalId\":93771,\"journal\":{\"name\":\"IOP SciNotes\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IOP SciNotes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/2633-1357/abb2af\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IOP SciNotes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/2633-1357/abb2af","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们证明了Zhang等人先前猜想的不等式的广义版本(Zhang et al 2018 Phys)。列托人。由Datta等人定义的量子加法运算(Audenaert et al 2016 J. Math)， A 382, 1516-23。Phy. 57, 052202)在证明量子比特的熵幂不等式的背景下。我们还表明，量子加法操作与非相干信道进行交换，这可能对光学环境中的相干资源理论产生影响。
Quantum addition imparts less disorder than mixing and commutes with incoherent channels
We prove a generalized version of a previously conjectured inequality by Zhang et al (Zhang et al 2018 Phys. Lett. A 382, 1516–23) for the quantum addition operation defined by Datta et al (Audenaert et al 2016 J. Math. Phy. 57, 052202) in the context of proving an entropy power inequality for qubits. We also show that the quantum addition operation commutes with an incoherent channel, which may have possible implications for resource theories of coherence in optical settings.
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