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Title:          Quantum measurement optimization by decomposition of measurements into extremals
Subject:        Scientific Reports, doi:10.1038/s41598-020-65934-w
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     Item: 
      Title: Quantum measurement optimization by decomposition of measurements into extremals
      Children: 
       Item: 
        Title: Results
        Children: 
         Item: 
          Title: Bounds in the error of parameter estimation. 
          Children: 
           Item: 
            Title: Crámer-Rao inequality. 
           Item: 
            Title: Quantum Cramér-Rao inequality. 
           Item: 
            Title: Bayesian Cramér-Rao inequality. 
           Item: 
            Title: Bayesian quantum Crámer-Rao inequality. 
         Item: 
          Title: Numerical algorithm. 
          Children: 
           Item: 
            Title: Convexity. 
           Item: 
            Title: The algorithm. 
            Children: 
             Item: 
              Title: Random Sampling Method. 
             Item: 
              Title: Conversion to a rank-1 POVM. 
         Item: 
          Title: Examples. 
          Children: 
           Item: 
            Title: Qubit. 
           Item: 
            Title: Phase estimation. 
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             Item: 
              Title: Initial coherent state. 
             Item: 
              Title: Initial displaced thermal state. 
       Item: 
        Title: Discussion
       Item: 
        Title: Methods
       Item: 
        Title: Acknowledgements
       Item: 
        Title: Figure 1 We study the numerical accuracy (a) and time cost (b) of estimating the quantum Van Trees information, for a qubit encoding parameter on its phase, see Section 2.
       Item: 
        Title: Figure 2 (a) Quantum Van Trees information for estimating a Gaussian distributed random phase acquired by a coherent state.
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                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>The aggregation type specifies the unit of aggregation for a content collection. 
Comment 
PRISM recommends that the PRISM Aggregation Type Controlled Vocabulary be used to provide values for this element. 
Note: PRISM recommends against the use of the #other value currently allowed in this controlled vocabulary. In lieu of using #other please reach out to the PRISM group at info@prismstandard.org to request addition of your term to the Aggregation Type Controlled Vocabulary. 

</pdfaProperty:description>
                           <pdfaProperty:name>aggregationType</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>Copyright </pdfaProperty:description>
                           <pdfaProperty:name>copyright</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>The Digital Object Identifier for the article.
The DOI may also be used as the dc:identifier. If used as a dc:identifier, the URI form should be captured, and the bare identifier should also be captured using prism:doi. If an alternate unique identifier is used as the required dc:identifier, then the DOI should be specified as a bare identifier within prism:doi only. 
If the URL associated with a DOI is to be specified, then prism:url may be used in conjunction with prism:doi in order to provide the service endpoint (i.e. the URL). 
</pdfaProperty:description>
                           <pdfaProperty:name>doi</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>ISSN for an electronic version of the issue in which the resource occurs. 
Permits publishers to include a second ISSN, identifying an electronic version of the issue in which the resource occurs (therefore e(lectronic)Issn. If used, prism:eIssn MUST contain the ISSN of the electronic version. See prism:issn. 
</pdfaProperty:description>
                           <pdfaProperty:name>issn</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>Title of the magazine, or other publication, in which a resource was/will be published. 
Typically this will be used to provide the name of the magazine an article appeared in as metadata for the article, along with information such as the article title, the publisher, volume, number, and cover date. 

Note: Publication name can be used to differentiate between a print magazine and the online version if the names are different such as “magazine” and “magazine.com.” 
</pdfaProperty:description>
                           <pdfaProperty:name>publicationName</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>This element provides the url for an article or unit of content. 
The attribute platform is optionally allowed for situations in which multiple URLs must be specified. PRISM recommends that a subset of the PCV platform values, namely “mobile” and “web”, be used in conjunction with this element. 
NOTE: PRISM recommends against the use of the #other value allowed in the PRISM Platform controlled vocabulary. In lieu of using #other please reach out to the PRISM group at prism-wg@yahoogroups.com to request addition of your term to the Platform Controlled Vocabulary. 
</pdfaProperty:description>
                           <pdfaProperty:name>url</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                     </rdf:Seq>
                  </pdfaSchema:property>
               </rdf:li>
               <rdf:li rdf:parseType="Resource">
                  <pdfaSchema:namespaceURI>http://www.niso.org/schemas/jav/1.0/</pdfaSchema:namespaceURI>
                  <pdfaSchema:prefix>jav</pdfaSchema:prefix>
                  <pdfaSchema:schema>NISO</pdfaSchema:schema>
                  <pdfaSchema:property>
                     <rdf:Seq>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>Values for Journal Article Version are one of the following:
AO = Author’s Original
SMUR = Submitted Manuscript Under Review
AM = Accepted Manuscript
P = Proof
VoR = Version of Record
CVoR = Corrected Version of Record
EVoR = Enhanced Version of Record</pdfaProperty:description>
                           <pdfaProperty:name>journal_article_version</pdfaProperty:name>
                           <pdfaProperty:valueType>Closed Choice of Text</pdfaProperty:valueType>
                        </rdf:li>
                     </rdf:Seq>
                  </pdfaSchema:property>
               </rdf:li>
            </rdf:Bag>
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      </rdf:Description>
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