Quantifying coherence with quantum addition

[1803.06982] Quantifying coherence with quantum addition Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:1803.06982 (quant-ph) [Submitted on 19 Mar 2018 ( v1 ), last revised 20 Mar 2018 (this version, v2)] Title: Quantifying coherence with quantum addition Authors: Chiranjib Mukhopadhyay , Arun Kumar Pati , Sk Sazim View a PDF of the paper titled Quantifying coherence with quantum addition, by Chiranjib Mukhopadhyay and 2 other authors View PDF HTML (experimental) Abstract: Quantum addition channels have been recently introduced in the context of deriving entropic power inequalities for finite dimensional quantum systems. We prove a reverse entropy power equality which can be used to analytically prove an inequality conjectured recently for arbitrary dimension and arbitrary addition weight. We show that the relative entropic difference between the output of such a quantum additon channel and the corresponding classical mixture quantitatively captures the amount of coherence present in a quantum system. This new coherence measure admits an upper bound in terms of the relative entropy of coherence and is utilized to formulate a state-dependent uncertainty relation for two observables. Our results may provide deep insights to the origin of quantum coherence for mixed states that truly come from the discrepancy between quantum addition and the classical mixture. Comments: 6 pages + references, comments/suggestions most welcome Subjects: Quantum Physics (quant-ph) ; Information Theory (cs.IT) Cite as: arXiv:1803.06982 [quant-ph] (or arXiv:1803.06982v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.1803.06982 Focus to learn more arXiv-issued DOI via DataCite Journal reference: IOPSciNotes 1 025212 (2020) Related DOI : https://doi.org/10.1088/2633-1357/abb2af Focus to learn more DOI(s) linking to related resources Submission history From: Chiranjib Mukhopadhyay [ view email ] [v1] Mon, 19 Mar 2018 15:17:25 UTC (72 KB) [v2] Tue, 20 Mar 2018 15:26:58 UTC (72 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantifying coherence with quantum addition, by Chiranjib Mukhopadhyay and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2018-03 Change to browse by: cs cs.IT math math.IT References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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