The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer International Publishing
2015
|
| Schriftenreihe: | Lecture Notes in Physics
902 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XI, 139 p) |
| ISBN: | 9783319167183 9783319167176 |
| DOI: | 10.1007/978-3-319-16718-3 |
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Datensatz im Suchindex
| _version_ | 1804174754922364928 |
|---|---|
| adam_text | THE FUNCTIONAL ANALYSIS OF QUANTUM INFORMATION THEORY
/ GUPTA, VED PRAKASH
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
OPERATOR SPACES
ENTANGLEMENT IN BIPARTITE QUANTUM STATES
OPERATOR SYSTEMS
QUANTUM INFORMATION THEORY
INDEX
BIBLIOGRAPHY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE FUNCTIONAL ANALYSIS OF QUANTUM INFORMATION THEORY
/ GUPTA, VED PRAKASH
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES READERS WITH A CONCISE INTRODUCTION TO CURRENT
STUDIES ON OPERATOR-ALGEBRAS AND THEIR GENERALIZATIONS, OPERATOR SPACES
AND OPERATOR SYSTEMS, WITH A SPECIAL FOCUS ON THEIR APPLICATION IN
QUANTUM INFORMATION SCIENCE. THIS BASIC FRAMEWORK FOR THE MATHEMATICAL
FORMULATION OF QUANTUM INFORMATION CAN BE TRACED BACK TO THE
MATHEMATICAL WORK OF JOHN VON NEUMANN, ONE OF THE PIONEERS OF OPERATOR
ALGEBRAS, WHICH FORMS THE UNDERPINNING OF MOST CURRENT MATHEMATICAL
TREATMENTS OF THE QUANTUM THEORY, BESIDES BEING ONE OF THE MOST DYNAMIC
AREAS OF TWENTIETH CENTURY FUNCTIONAL ANALYSIS. TODAY, VON NEUMANN’S
FORESIGHT FINDS EXPRESSION IN THE RAPIDLY GROWING FIELD OF QUANTUM
INFORMATION THEORY. THESE NOTES GATHER THE CONTENT OF LECTURES GIVEN BY
A VERY DISTINGUISHED GROUP OF MATHEMATICIANS AND QUANTUM INFORMATION
THEORISTS, HELD AT THE IMSC IN CHENNAI SOME YEARS AGO, AND GREAT CARE
HAS BEEN TAKEN TO PRESENT THE MATERIAL AS A PRIMER ON THE SUBJECT
MATTER.STARTING FROM THE BASIC DEFINITIONS OF OPERATOR SPACES AND
OPERATOR SYSTEMS, THIS TEXT PROCEEDS TO DISCUSS SEVERAL IMPORTANT
THEOREMS INCLUDING STINESPRING’S DILATION THEOREM FOR COMPLETELY
POSITIVE MAPS AND KIRCHBERG’S THEOREM ON TENSOR PRODUCTS OF
C*-ALGEBRAS. IT ALSO TAKES A CLOSER LOOK AT THE ABSTRACT
CHARACTERIZATION OF OPERATOR SYSTEMS AND, MOTIVATED BY THE REQUIREMENTS
OF DIFFERENT TENSOR PRODUCTS IN QUANTUM INFORMATION THEORY, THE THEORY
OF TENSOR PRODUCTS IN OPERATOR SYSTEMS IS DISCUSSED IN DETAIL.ON THE
QUANTUM INFORMATION SIDE, THE BOOK OFFERS A RIGOROUS TREATMENT OF
QUANTIFYING ENTANGLEMENT IN BIPARTITE QUANTUM SYSTEMS, AND MOVES ON TO
REVIEW FOUR DIFFERENT AREAS IN WHICH IDEAS FROM THE THEORY OF OPERATOR
SYSTEMS AND OPERATOR ALGEBRAS PLAY A NATURAL ROLE: THE ISSUE OF
ZERO-ERROR COMMUNICATION OVER QUANTUM CHANNELS, THE STRONG SUBADDITIVITY
PROPERTY OF QUANTUM ENTROPY, THE DIFFERENT NORMS ON QUANTUM STATES AND
THE CORRESPONDING INDUCED NORMS ON QUANTUM CHANNELS, AND, LASTLY, THE
APPLICATIONS OF MATRIX-VALUED RANDOM VARIABLES IN THE QUANTUM
INFORMATION SETTING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| spelling | Gupta, Ved Prakash Verfasser aut The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter Ved Prakash Gupta, Prabha Mandayam, V. S. Sunder Cham [u.a.] Springer International Publishing 2015 1 Online-Ressource (XI, 139 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Physics 902 Physics Functional analysis Quantum theory Mathematical physics Quantum Physics Quantum Computing Mathematical Methods in Physics Functional Analysis Mathematical Physics Mathematische Physik Quantentheorie Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quanteninformatik (DE-588)4705961-8 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Quanteninformatik (DE-588)4705961-8 s Funktionalanalysis (DE-588)4018916-8 s 1\p DE-604 Mandayam, Prabha Verfasser aut Sunder, Viakalathur S. 1952- Verfasser (DE-588)109307119 aut Lecture Notes in Physics 902 (DE-604)BV013615055 902 https://doi.org/10.1007/978-3-319-16718-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025389&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025389&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gupta, Ved Prakash Mandayam, Prabha Sunder, Viakalathur S. 1952- The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter Lecture Notes in Physics Physics Functional analysis Quantum theory Mathematical physics Quantum Physics Quantum Computing Mathematical Methods in Physics Functional Analysis Mathematical Physics Mathematische Physik Quantentheorie Funktionalanalysis (DE-588)4018916-8 gnd Quantentheorie (DE-588)4047992-4 gnd Quanteninformatik (DE-588)4705961-8 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4047992-4 (DE-588)4705961-8 |
| title | The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter |
| title_auth | The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter |
| title_exact_search | The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter |
| title_full | The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter Ved Prakash Gupta, Prabha Mandayam, V. S. Sunder |
| title_fullStr | The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter Ved Prakash Gupta, Prabha Mandayam, V. S. Sunder |
| title_full_unstemmed | The Functional Analysis of Quantum Information Theory A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter Ved Prakash Gupta, Prabha Mandayam, V. S. Sunder |
| title_short | The Functional Analysis of Quantum Information Theory |
| title_sort | the functional analysis of quantum information theory a collection of notes based on lectures by gilles pisier k r parthasarathy vern paulsen and andreas winter |
| title_sub | A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter |
| topic | Physics Functional analysis Quantum theory Mathematical physics Quantum Physics Quantum Computing Mathematical Methods in Physics Functional Analysis Mathematical Physics Mathematische Physik Quantentheorie Funktionalanalysis (DE-588)4018916-8 gnd Quantentheorie (DE-588)4047992-4 gnd Quanteninformatik (DE-588)4705961-8 gnd |
| topic_facet | Physics Functional analysis Quantum theory Mathematical physics Quantum Physics Quantum Computing Mathematical Methods in Physics Functional Analysis Mathematical Physics Mathematische Physik Quantentheorie Funktionalanalysis Quanteninformatik |
| url | https://doi.org/10.1007/978-3-319-16718-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025389&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025389&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013615055 |
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