Quantum stochastics:
The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, re...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Schriftenreihe: | Cambridge series on statistical and probabilistic mathematics
37 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. This book is a systematic, self-contained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and classical Markov processes. From there, the book introduces additional tools from analysis, and then builds the quantum probability framework needed to support applications to quantum control and quantum information and communication. These include quantum noise, quantum stochastic calculus, stochastic quantum differential equations, quantum Markov semigroups and processes, and large-time asymptotic behavior of quantum Markov semigroups |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 412 pages) |
| ISBN: | 9781107706545 |
| DOI: | 10.1017/CBO9781107706545 |
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| 505 | 8 | |a Machine generated contents note: Introduction and summary; 1. Operator algebras and topologies; 2. Quantum probability; 3. Quantum stochastic calculus; 4. Quantum stochastic differential equations; 5. Quantum Markov semigroups; 6. Minimal QDS; 7. Quantum Markov processes; 8. Strong quantum Markov processes; 9. Invariant normal states; 10. Recurrence and transience; 11. Ergodic theory | |
| 520 | |a The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. This book is a systematic, self-contained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and classical Markov processes. From there, the book introduces additional tools from analysis, and then builds the quantum probability framework needed to support applications to quantum control and quantum information and communication. These include quantum noise, quantum stochastic calculus, stochastic quantum differential equations, quantum Markov semigroups and processes, and large-time asymptotic behavior of quantum Markov semigroups | ||
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Stochastic processes | |
| 650 | 4 | |a Probabilities | |
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Datensatz im Suchindex
| _version_ | 1804176880348168192 |
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| author | Chang, Mou-Hsiung |
| author_facet | Chang, Mou-Hsiung |
| author_role | aut |
| author_sort | Chang, Mou-Hsiung |
| author_variant | m h c mhc |
| building | Verbundindex |
| bvnumber | BV043940188 |
| classification_rvk | SK 820 |
| collection | ZDB-20-CBO |
| contents | Machine generated contents note: Introduction and summary; 1. Operator algebras and topologies; 2. Quantum probability; 3. Quantum stochastic calculus; 4. Quantum stochastic differential equations; 5. Quantum Markov semigroups; 6. Minimal QDS; 7. Quantum Markov processes; 8. Strong quantum Markov processes; 9. Invariant normal states; 10. Recurrence and transience; 11. Ergodic theory |
| ctrlnum | (ZDB-20-CBO)CR9781107706545 (OCoLC)930540957 (DE-599)BVBBV043940188 |
| dewey-full | 519.2/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/3 |
| dewey-search | 519.2/3 |
| dewey-sort | 3519.2 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107706545 |
| format | Electronic eBook |
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| id | DE-604.BV043940188 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9781107706545 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349158 |
| oclc_num | 930540957 |
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| owner_facet | DE-12 DE-92 DE-706 |
| physical | 1 online resource (xii, 412 pages) |
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| publishDate | 2015 |
| publishDateSearch | 2015 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge series on statistical and probabilistic mathematics |
| spelling | Chang, Mou-Hsiung Verfasser aut Quantum stochastics Mou-Hsiung Chang, Mathematical Sciences Division, U.S. Army Research Office Cambridge Cambridge University Press 2015 1 online resource (xii, 412 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge series on statistical and probabilistic mathematics 37 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: Introduction and summary; 1. Operator algebras and topologies; 2. Quantum probability; 3. Quantum stochastic calculus; 4. Quantum stochastic differential equations; 5. Quantum Markov semigroups; 6. Minimal QDS; 7. Quantum Markov processes; 8. Strong quantum Markov processes; 9. Invariant normal states; 10. Recurrence and transience; 11. Ergodic theory The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. This book is a systematic, self-contained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and classical Markov processes. From there, the book introduces additional tools from analysis, and then builds the quantum probability framework needed to support applications to quantum control and quantum information and communication. These include quantum noise, quantum stochastic calculus, stochastic quantum differential equations, quantum Markov semigroups and processes, and large-time asymptotic behavior of quantum Markov semigroups Quantentheorie Stochastic processes Probabilities Quantum theory Stochastik (DE-588)4121729-9 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Stochastik (DE-588)4121729-9 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-06919-0 https://doi.org/10.1017/CBO9781107706545 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chang, Mou-Hsiung Quantum stochastics Machine generated contents note: Introduction and summary; 1. Operator algebras and topologies; 2. Quantum probability; 3. Quantum stochastic calculus; 4. Quantum stochastic differential equations; 5. Quantum Markov semigroups; 6. Minimal QDS; 7. Quantum Markov processes; 8. Strong quantum Markov processes; 9. Invariant normal states; 10. Recurrence and transience; 11. Ergodic theory Quantentheorie Stochastic processes Probabilities Quantum theory Stochastik (DE-588)4121729-9 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4121729-9 (DE-588)4064324-4 (DE-588)4047992-4 |
| title | Quantum stochastics |
| title_auth | Quantum stochastics |
| title_exact_search | Quantum stochastics |
| title_full | Quantum stochastics Mou-Hsiung Chang, Mathematical Sciences Division, U.S. Army Research Office |
| title_fullStr | Quantum stochastics Mou-Hsiung Chang, Mathematical Sciences Division, U.S. Army Research Office |
| title_full_unstemmed | Quantum stochastics Mou-Hsiung Chang, Mathematical Sciences Division, U.S. Army Research Office |
| title_short | Quantum stochastics |
| title_sort | quantum stochastics |
| topic | Quantentheorie Stochastic processes Probabilities Quantum theory Stochastik (DE-588)4121729-9 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Quantentheorie Stochastic processes Probabilities Quantum theory Stochastik Wahrscheinlichkeitsrechnung |
| url | https://doi.org/10.1017/CBO9781107706545 |
| work_keys_str_mv | AT changmouhsiung quantumstochastics |