![]() ![]() Our results provide the first connection between the one-body reduced density matrix functional theory and the quantum Fisher information. We showcase our approach with the Bose-Hubbard model and present exact analytical and numerical QFI functionals. We further discuss the extremal property. Quantum correlations including entanglement, discord and coherence have been widely studied over the last three decades. Motivated by this, we propose a measure for coherence of a quantum channel utilizing the trace distance to quantify its commutativity with the completely dephasing operation. Deep insight can be gained into the nature of coherence by studying the quantum channels. Quantum resource theories offer formal frameworks for quantification and manipulation of intrinsic resources associated in quantum systems. Furthermore, we show that QFI functionals can be determined from the universal 1-RDM functional by calculating its derivatives with respect to the coupling strengths, becoming thus the generating functional of the QFI. Quantum coherence is a fundamental resource in quantum information and computation. By relying upon the constrained-search approach, we demonstrate that the QFI matricial values can universally be determined by the one-body reduced density matrix (1-RDM), avoiding thus the use of exponentially large wave functions. Coherence of Integrated Science Textbooks This 8th Grade Physical Science. Here we combine ideas from functional theories and quantum information to develop a novel functional framework for the QFI of fermionic and bosonic ground states. resource to supplement topics students are struggling with this physical. Despite this widespread range of applications, computing the QFI value of quantum many-body systems is, in general, a very demanding task. For the resource theory of coherence, the free states are quantum states which are diagonal in a prexed. Any quantum resource theory is characterized by two fun-damental ingredients, namely, free states and free operations 1113. Benavides-Riveros and 2 other authors Download PDF Abstract:Quantum Fisher information (QFI) is a central concept in quantum sciences used to quantify the ultimate precision limit of parameter estimation, detect quantum phase transitions, witness genuine multipartite entanglement, or probe nonlocality. quantify coherence but also provides a platform to understand quantum coherence from a different perspective. Highlighted as Editor’s Suggestion.Download a PDF of the paper titled Extracting Many-Body Quantum Resources within One-Body Reduced Density Matrix Functional Theory, by Carlos L. The formalism proposed recently by Baumgratz et al. Zurek, Quantum Discord Cannot Be Shared, Phys. The resource theory of quantum coherence is a vivid research topic, and various approaches in this direction have been presented over the past few years 16. Adesso, Measuring Quantum Coherence with Entanglement, Phys. Lewenstein, Assisted Distillation of Quantum Coherence, Phys. Lewenstein, Towards Resource Theory of Coherence in Distributed Scenarios, Phys. Plenio, Colloquium: Quantum coherence as a resource, Rev. ICFO – The Institute of Photonic Sciences, Barcelona, SpainĢ014: Award for the best dissertation in the section AMOP German Physical Society, GermanyĢ013: Award for the best dissertation Faculty for Natural Sciences and Mathematics, Heinrich Heine University Düsseldorf, GermanyĪ. Since 12.2018: Group Leader of Quantum Resources and Information Laboratory at the Centre of New Technologies at the University of WarsawĢ017-2018: Postdoctoral researcher, Polonez fellowįaculty of Applied Physics and Mathematics, Gdańsk University of Technology, PolandĢ016-2017: Postdoctoral researcher, Humboldt fellowĭepartment of Physics, Freie Universität Berlin, GermanyĢ013-2015: Postdoctoral researcher, Humboldt fellow Streltsov and Adesso (2017a) reviewed the resource theory of coherence, while our concerns are quantum coherence, quantum correlations, and their intrinsic connections. 2013: PhD in Physics, Faculty for Natural Sciences and Mathematics, Heinrich Heine University Düsseldorf, GermanyĢ009: Diploma in Physics, Faculty of Physics and Astronomy, Julius-Maximilians-Universität Würzburg, Germany
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