Semidefinite programming in quantum information science:
Semidefinite programs (SDPs) are a class of optimisation problems that find application in numerous areas of physics, engineering and mathematics. Semidefinite programming is particularly suited to problems in quantum physics and quantum information science. Following a review of the theory of semid...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Bristol, UK
IOP Publishing
[2023]
|
| Edition: | Version: 20230301 |
| Series: | IOP series in quantum technology
IOP ebooks |
| Subjects: | |
| Online Access: | UER01 |
| Summary: | Semidefinite programs (SDPs) are a class of optimisation problems that find application in numerous areas of physics, engineering and mathematics. Semidefinite programming is particularly suited to problems in quantum physics and quantum information science. Following a review of the theory of semidefinite programming, the book proceeds to describe how it can be used to address a wide range of important problems from across quantum information science. Specific applications include quantum state, measurement, and channel estimation and discrimination, entanglement detection and quantification, quantum distance measures, and measurement incompatibility. Though SDPs have become an increasingly important tool in quantum information science it's not yet the kind of mathematics students learn routinely. Assuming only a basic knowledge of linear algebra and quantum physics and quantum information, this graduate-level book provides a unified and accessible presentation of one of the key numerical methods used in quantum information science. Whilst the focus is on the theoretical machinery of SDPs, the authors have provided an accompanying GitHub repository containing example code, covering some of the SDPs studied in this book. |
| Physical Description: | 1 Online-Ressource (181 Seiten) Diagramme |
| ISBN: | 9780750333436 9780750333429 |
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| index_date | 2024-07-03T23:10:57Z |
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| isbn | 9780750333436 9780750333429 |
| language | English |
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| spelling | Skrzypczyk, Paul Verfasser aut Semidefinite programming in quantum information science Paul Skrzypczyk, School of Physics, University of Bristol, Bristol, UK, Daniel Cavalcanti, Algorithmiq Ltd, Helsinki, Finland Version: 20230301 Bristol, UK IOP Publishing [2023] 1 Online-Ressource (181 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier IOP series in quantum technology IOP ebooks Semidefinite programs (SDPs) are a class of optimisation problems that find application in numerous areas of physics, engineering and mathematics. Semidefinite programming is particularly suited to problems in quantum physics and quantum information science. Following a review of the theory of semidefinite programming, the book proceeds to describe how it can be used to address a wide range of important problems from across quantum information science. Specific applications include quantum state, measurement, and channel estimation and discrimination, entanglement detection and quantification, quantum distance measures, and measurement incompatibility. Though SDPs have become an increasingly important tool in quantum information science it's not yet the kind of mathematics students learn routinely. Assuming only a basic knowledge of linear algebra and quantum physics and quantum information, this graduate-level book provides a unified and accessible presentation of one of the key numerical methods used in quantum information science. Whilst the focus is on the theoretical machinery of SDPs, the authors have provided an accompanying GitHub repository containing example code, covering some of the SDPs studied in this book. Semidefinite Optimierung (DE-588)4663806-4 gnd rswk-swf Quantenkanal (DE-588)4629337-1 gnd rswk-swf Messung (DE-588)4038852-9 gnd rswk-swf Hermitescher Operator (DE-588)4159617-1 gnd rswk-swf Quantenzustand (DE-588)4176600-3 gnd rswk-swf Quanteninformation (DE-588)1211521885 gnd rswk-swf Semidefinite Optimierung (DE-588)4663806-4 s Hermitescher Operator (DE-588)4159617-1 s Quanteninformation (DE-588)1211521885 s Quantenzustand (DE-588)4176600-3 s Messung (DE-588)4038852-9 s Quantenkanal (DE-588)4629337-1 s DE-604 Cavalcanti, Daniel Verfasser aut Erscheint auch als Druck-Ausgabe 978-0-7503-3341-2 |
| spellingShingle | Skrzypczyk, Paul Cavalcanti, Daniel Semidefinite programming in quantum information science Semidefinite Optimierung (DE-588)4663806-4 gnd Quantenkanal (DE-588)4629337-1 gnd Messung (DE-588)4038852-9 gnd Hermitescher Operator (DE-588)4159617-1 gnd Quantenzustand (DE-588)4176600-3 gnd Quanteninformation (DE-588)1211521885 gnd |
| subject_GND | (DE-588)4663806-4 (DE-588)4629337-1 (DE-588)4038852-9 (DE-588)4159617-1 (DE-588)4176600-3 (DE-588)1211521885 |
| title | Semidefinite programming in quantum information science |
| title_auth | Semidefinite programming in quantum information science |
| title_exact_search | Semidefinite programming in quantum information science |
| title_exact_search_txtP | Semidefinite programming in quantum information science |
| title_full | Semidefinite programming in quantum information science Paul Skrzypczyk, School of Physics, University of Bristol, Bristol, UK, Daniel Cavalcanti, Algorithmiq Ltd, Helsinki, Finland |
| title_fullStr | Semidefinite programming in quantum information science Paul Skrzypczyk, School of Physics, University of Bristol, Bristol, UK, Daniel Cavalcanti, Algorithmiq Ltd, Helsinki, Finland |
| title_full_unstemmed | Semidefinite programming in quantum information science Paul Skrzypczyk, School of Physics, University of Bristol, Bristol, UK, Daniel Cavalcanti, Algorithmiq Ltd, Helsinki, Finland |
| title_short | Semidefinite programming in quantum information science |
| title_sort | semidefinite programming in quantum information science |
| topic | Semidefinite Optimierung (DE-588)4663806-4 gnd Quantenkanal (DE-588)4629337-1 gnd Messung (DE-588)4038852-9 gnd Hermitescher Operator (DE-588)4159617-1 gnd Quantenzustand (DE-588)4176600-3 gnd Quanteninformation (DE-588)1211521885 gnd |
| topic_facet | Semidefinite Optimierung Quantenkanal Messung Hermitescher Operator Quantenzustand Quanteninformation |
| work_keys_str_mv | AT skrzypczykpaul semidefiniteprogramminginquantuminformationscience AT cavalcantidaniel semidefiniteprogramminginquantuminformationscience |