Weakly sufficient quantum statistics

Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation betwee...
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Autor*in:	Lubnauer, Katarzyna [verfasserIn] Łuczak, Andrzej Podsędkowska, Hanna

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	quantum statistic weak sufficiency von Neumann algebra

Anmerkung:	© © Versita Warsaw and Springer-Verlag Wien 2011

Übergeordnetes Werk:	Enthalten in: Mathematica Slovaca - Warsaw : Versita, 2007, 61(2011), 6 vom: 03. Nov.
Übergeordnetes Werk:	volume:61 ; year:2011 ; number:6 ; day:03 ; month:11

Links:	Volltext

DOI / URN:	10.2478/s12175-011-0062-x

Katalog-ID:	SPR025424882

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allfields	10.2478/s12175-011-0062-x doi (DE-627)SPR025424882 (SPR)s12175-011-0062-x-e DE-627 ger DE-627 rakwb eng Lubnauer, Katarzyna verfasserin aut Weakly sufficient quantum statistics 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. quantum statistic (dpeaa)DE-He213 weak sufficiency (dpeaa)DE-He213 von Neumann algebra (dpeaa)DE-He213 Łuczak, Andrzej aut Podsędkowska, Hanna aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 61(2011), 6 vom: 03. Nov. (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:61 year:2011 number:6 day:03 month:11 https://dx.doi.org/10.2478/s12175-011-0062-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 61 2011 6 03 11
spelling	10.2478/s12175-011-0062-x doi (DE-627)SPR025424882 (SPR)s12175-011-0062-x-e DE-627 ger DE-627 rakwb eng Lubnauer, Katarzyna verfasserin aut Weakly sufficient quantum statistics 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. quantum statistic (dpeaa)DE-He213 weak sufficiency (dpeaa)DE-He213 von Neumann algebra (dpeaa)DE-He213 Łuczak, Andrzej aut Podsędkowska, Hanna aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 61(2011), 6 vom: 03. Nov. (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:61 year:2011 number:6 day:03 month:11 https://dx.doi.org/10.2478/s12175-011-0062-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 61 2011 6 03 11
allfields_unstemmed	10.2478/s12175-011-0062-x doi (DE-627)SPR025424882 (SPR)s12175-011-0062-x-e DE-627 ger DE-627 rakwb eng Lubnauer, Katarzyna verfasserin aut Weakly sufficient quantum statistics 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. quantum statistic (dpeaa)DE-He213 weak sufficiency (dpeaa)DE-He213 von Neumann algebra (dpeaa)DE-He213 Łuczak, Andrzej aut Podsędkowska, Hanna aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 61(2011), 6 vom: 03. Nov. (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:61 year:2011 number:6 day:03 month:11 https://dx.doi.org/10.2478/s12175-011-0062-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 61 2011 6 03 11
allfieldsGer	10.2478/s12175-011-0062-x doi (DE-627)SPR025424882 (SPR)s12175-011-0062-x-e DE-627 ger DE-627 rakwb eng Lubnauer, Katarzyna verfasserin aut Weakly sufficient quantum statistics 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. quantum statistic (dpeaa)DE-He213 weak sufficiency (dpeaa)DE-He213 von Neumann algebra (dpeaa)DE-He213 Łuczak, Andrzej aut Podsędkowska, Hanna aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 61(2011), 6 vom: 03. Nov. (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:61 year:2011 number:6 day:03 month:11 https://dx.doi.org/10.2478/s12175-011-0062-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 61 2011 6 03 11
allfieldsSound	10.2478/s12175-011-0062-x doi (DE-627)SPR025424882 (SPR)s12175-011-0062-x-e DE-627 ger DE-627 rakwb eng Lubnauer, Katarzyna verfasserin aut Weakly sufficient quantum statistics 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © © Versita Warsaw and Springer-Verlag Wien 2011 Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. quantum statistic (dpeaa)DE-He213 weak sufficiency (dpeaa)DE-He213 von Neumann algebra (dpeaa)DE-He213 Łuczak, Andrzej aut Podsędkowska, Hanna aut Enthalten in Mathematica Slovaca Warsaw : Versita, 2007 61(2011), 6 vom: 03. Nov. (DE-627)548127344 (DE-600)2393408-6 1337-2211 nnns volume:61 year:2011 number:6 day:03 month:11 https://dx.doi.org/10.2478/s12175-011-0062-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_187 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 61 2011 6 03 11
language	English
source	Enthalten in Mathematica Slovaca 61(2011), 6 vom: 03. Nov. volume:61 year:2011 number:6 day:03 month:11
sourceStr	Enthalten in Mathematica Slovaca 61(2011), 6 vom: 03. Nov. volume:61 year:2011 number:6 day:03 month:11
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author	Lubnauer, Katarzyna
spellingShingle	Lubnauer, Katarzyna misc quantum statistic misc weak sufficiency misc von Neumann algebra Weakly sufficient quantum statistics
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topic_title	Weakly sufficient quantum statistics quantum statistic (dpeaa)DE-He213 weak sufficiency (dpeaa)DE-He213 von Neumann algebra (dpeaa)DE-He213
topic	misc quantum statistic misc weak sufficiency misc von Neumann algebra
topic_unstemmed	misc quantum statistic misc weak sufficiency misc von Neumann algebra
topic_browse	misc quantum statistic misc weak sufficiency misc von Neumann algebra
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Weakly sufficient quantum statistics
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title_full	Weakly sufficient quantum statistics
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title_sort	weakly sufficient quantum statistics
title_auth	Weakly sufficient quantum statistics
abstract	Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. © © Versita Warsaw and Springer-Verlag Wien 2011
abstractGer	Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. © © Versita Warsaw and Springer-Verlag Wien 2011
abstract_unstemmed	Abstract Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of its minimality, and find the relation between weak sufficiency and other notions of sufficiency employed so far. © © Versita Warsaw and Springer-Verlag Wien 2011
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title_short	Weakly sufficient quantum statistics
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