Loading…

On quantum statistical inference

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of the Royal Statistical Society. Series B, Statistical methodology Statistical methodology, 2003-01, Vol.65 (4), p.775-804
Main Authors:	Barndorff-Nielsen, Ole E., Gill, Richard D., Jupp, Peter E.
Format:	Article
Language:	English
Subjects:	Eigenvalues Exact sciences and technology Inference Information Linear inference, regression Mathematical analysis Mathematics Matrices Measurement Model testing Physics Probabilities Probability and statistics Quantum cuts Quantum exponential family Quantum information Quantum measurements Quantum mechanics Quantum score Quantum statistical models Quantum statistics Quantum sufficiency Quantum transformation model Sciences and techniques of general use Spin half Statistical inferences Statistical methods Statistical models Statistics
Citations:	Items that this one cites Items that cite this one
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

cited_by	cdi_FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743
cites	cdi_FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743
container_end_page	804
container_issue	4
container_start_page	775
container_title	Journal of the Royal Statistical Society. Series B, Statistical methodology
container_volume	65
creator	Barndorff-Nielsen, Ole E. Gill, Richard D. Jupp, Peter E.
description	Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.
doi_str_mv	10.1111/1467-9868.00415
format	article
fullrecord	<record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_miscellaneous_37808005</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>3647584</jstor_id><sourcerecordid>3647584</sourcerecordid><originalsourceid>FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743</originalsourceid><addsrcrecordid>eNqFUT1PwzAQjRBIlMLMwpAFtrR24q-MgKCACkVtEWyW49oiJU1aOwX677mQqoyc9HyW773Tu3MQnGLUwxB9TBiPUsFEDyGC6V7Q2b3swz1hacQJjg-DI-_nCILxpBOEozJcrVVZrxehr1Wd-zrXqgjz0hpnSm2OgwOrCm9OtrkbvNzeTK_vouFocH99OYw05YJGaYqMSpQmBqsYZzFDDNvMpjNqMkRiojOMLQUGEzzjyloVx2lGsWWczQwnSTe4aPsuXbVaG1_LRe61KQpVmmrtZcIFEghRIPZbonaV985YuXT5QrmNxEg2m5DN3LKZW_5uAhQPrcKZpdE7elaoeeW8z-SnBF8Ujg0gRiiBlAMIYAngnEqBiHyvF9DsfOtTeViUdarUuf_zQGNBAcAjLe8rL8zmP49yPJlctV7PWtnc15XbyRJGOBXNlqK2DP9kvndl5T4kfCfYfH0ayBQ98yl7G8vH5AeBR51P</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>37808005</pqid></control><display><type>article</type><title>On quantum statistical inference</title><source>International Bibliography of the Social Sciences (IBSS)</source><source>Business Source Ultimate【Trial: -2024/12/31】【Remote access available】</source><source>JSTOR Archival Journals and Primary Sources Collection</source><source>Alma/SFX Local Collection</source><creator>Barndorff-Nielsen, Ole E. ; Gill, Richard D. ; Jupp, Peter E.</creator><creatorcontrib>Barndorff-Nielsen, Ole E. ; Gill, Richard D. ; Jupp, Peter E.</creatorcontrib><description>Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.</description><identifier>ISSN: 1369-7412</identifier><identifier>EISSN: 1467-9868</identifier><identifier>DOI: 10.1111/1467-9868.00415</identifier><language>eng</language><publisher>Oxford, UK: Blackwell Publishing</publisher><subject>Eigenvalues ; Exact sciences and technology ; Inference ; Information ; Linear inference, regression ; Mathematical analysis ; Mathematics ; Matrices ; Measurement ; Model testing ; Physics ; Probabilities ; Probability and statistics ; Quantum cuts ; Quantum exponential family ; Quantum information ; Quantum measurements ; Quantum mechanics ; Quantum score ; Quantum statistical models ; Quantum statistics ; Quantum sufficiency ; Quantum transformation model ; Sciences and techniques of general use ; Spin half ; Statistical inferences ; Statistical methods ; Statistical models ; Statistics</subject><ispartof>Journal of the Royal Statistical Society. Series B, Statistical methodology, 2003-01, Vol.65 (4), p.775-804</ispartof><rights>Copyright 2003 The Royal Statistical Society</rights><rights>2004 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743</citedby><cites>FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/3647584$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/3647584$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,33224,58238,58471</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=15285528$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttp://econpapers.repec.org/article/blajorssb/v_3a65_3ay_3a2003_3ai_3a4_3ap_3a775-804.htm$$DView record in RePEc$$Hfree_for_read</backlink></links><search><creatorcontrib>Barndorff-Nielsen, Ole E.</creatorcontrib><creatorcontrib>Gill, Richard D.</creatorcontrib><creatorcontrib>Jupp, Peter E.</creatorcontrib><title>On quantum statistical inference</title><title>Journal of the Royal Statistical Society. Series B, Statistical methodology</title><description>Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.</description><subject>Eigenvalues</subject><subject>Exact sciences and technology</subject><subject>Inference</subject><subject>Information</subject><subject>Linear inference, regression</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Matrices</subject><subject>Measurement</subject><subject>Model testing</subject><subject>Physics</subject><subject>Probabilities</subject><subject>Probability and statistics</subject><subject>Quantum cuts</subject><subject>Quantum exponential family</subject><subject>Quantum information</subject><subject>Quantum measurements</subject><subject>Quantum mechanics</subject><subject>Quantum score</subject><subject>Quantum statistical models</subject><subject>Quantum statistics</subject><subject>Quantum sufficiency</subject><subject>Quantum transformation model</subject><subject>Sciences and techniques of general use</subject><subject>Spin half</subject><subject>Statistical inferences</subject><subject>Statistical methods</subject><subject>Statistical models</subject><subject>Statistics</subject><issn>1369-7412</issn><issn>1467-9868</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>8BJ</sourceid><recordid>eNqFUT1PwzAQjRBIlMLMwpAFtrR24q-MgKCACkVtEWyW49oiJU1aOwX677mQqoyc9HyW773Tu3MQnGLUwxB9TBiPUsFEDyGC6V7Q2b3swz1hacQJjg-DI-_nCILxpBOEozJcrVVZrxehr1Wd-zrXqgjz0hpnSm2OgwOrCm9OtrkbvNzeTK_vouFocH99OYw05YJGaYqMSpQmBqsYZzFDDNvMpjNqMkRiojOMLQUGEzzjyloVx2lGsWWczQwnSTe4aPsuXbVaG1_LRe61KQpVmmrtZcIFEghRIPZbonaV985YuXT5QrmNxEg2m5DN3LKZW_5uAhQPrcKZpdE7elaoeeW8z-SnBF8Ujg0gRiiBlAMIYAngnEqBiHyvF9DsfOtTeViUdarUuf_zQGNBAcAjLe8rL8zmP49yPJlctV7PWtnc15XbyRJGOBXNlqK2DP9kvndl5T4kfCfYfH0ayBQ98yl7G8vH5AeBR51P</recordid><startdate>20030101</startdate><enddate>20030101</enddate><creator>Barndorff-Nielsen, Ole E.</creator><creator>Gill, Richard D.</creator><creator>Jupp, Peter E.</creator><general>Blackwell Publishing</general><general>Blackwell Publishers</general><general>Blackwell</general><general>Royal Statistical Society</general><scope>BSCLL</scope><scope>IQODW</scope><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BJ</scope><scope>FQK</scope><scope>JBE</scope></search><sort><creationdate>20030101</creationdate><title>On quantum statistical inference</title><author>Barndorff-Nielsen, Ole E. ; Gill, Richard D. ; Jupp, Peter E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Eigenvalues</topic><topic>Exact sciences and technology</topic><topic>Inference</topic><topic>Information</topic><topic>Linear inference, regression</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Matrices</topic><topic>Measurement</topic><topic>Model testing</topic><topic>Physics</topic><topic>Probabilities</topic><topic>Probability and statistics</topic><topic>Quantum cuts</topic><topic>Quantum exponential family</topic><topic>Quantum information</topic><topic>Quantum measurements</topic><topic>Quantum mechanics</topic><topic>Quantum score</topic><topic>Quantum statistical models</topic><topic>Quantum statistics</topic><topic>Quantum sufficiency</topic><topic>Quantum transformation model</topic><topic>Sciences and techniques of general use</topic><topic>Spin half</topic><topic>Statistical inferences</topic><topic>Statistical methods</topic><topic>Statistical models</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Barndorff-Nielsen, Ole E.</creatorcontrib><creatorcontrib>Gill, Richard D.</creatorcontrib><creatorcontrib>Jupp, Peter E.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><jtitle>Journal of the Royal Statistical Society. Series B, Statistical methodology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Barndorff-Nielsen, Ole E.</au><au>Gill, Richard D.</au><au>Jupp, Peter E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On quantum statistical inference</atitle><jtitle>Journal of the Royal Statistical Society. Series B, Statistical methodology</jtitle><date>2003-01-01</date><risdate>2003</risdate><volume>65</volume><issue>4</issue><spage>775</spage><epage>804</epage><pages>775-804</pages><issn>1369-7412</issn><eissn>1467-9868</eissn><abstract>Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.</abstract><cop>Oxford, UK</cop><pub>Blackwell Publishing</pub><doi>10.1111/1467-9868.00415</doi><tpages>30</tpages><oa>free_for_read</oa></addata></record>
fulltext	fulltext
identifier	ISSN: 1369-7412
ispartof	Journal of the Royal Statistical Society. Series B, Statistical methodology, 2003-01, Vol.65 (4), p.775-804
issn	1369-7412 1467-9868
language	eng
recordid	cdi_proquest_miscellaneous_37808005
source	International Bibliography of the Social Sciences (IBSS); Business Source Ultimate【Trial: -2024/12/31】【Remote access available】; JSTOR Archival Journals and Primary Sources Collection; Alma/SFX Local Collection
subjects	Eigenvalues Exact sciences and technology Inference Information Linear inference, regression Mathematical analysis Mathematics Matrices Measurement Model testing Physics Probabilities Probability and statistics Quantum cuts Quantum exponential family Quantum information Quantum measurements Quantum mechanics Quantum score Quantum statistical models Quantum statistics Quantum sufficiency Quantum transformation model Sciences and techniques of general use Spin half Statistical inferences Statistical methods Statistical models Statistics
title	On quantum statistical inference
url	http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T06%3A39%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20quantum%20statistical%20inference&rft.jtitle=Journal%20of%20the%20Royal%20Statistical%20Society.%20Series%20B,%20Statistical%20methodology&rft.au=Barndorff-Nielsen,%20Ole%20E.&rft.date=2003-01-01&rft.volume=65&rft.issue=4&rft.spage=775&rft.epage=804&rft.pages=775-804&rft.issn=1369-7412&rft.eissn=1467-9868&rft_id=info:doi/10.1111/1467-9868.00415&rft_dat=%3Cjstor_proqu%3E3647584%3C/jstor_proqu%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c5785-990ea3ac4e1a21b26061fbf9d5eb0424cb11f5a3a687b7affa229b51f676de743%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=37808005&rft_id=info:pmid/&rft_jstor_id=3647584&rfr_iscdi=true