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The Functional Analysis of Quantum Information Theory
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 o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-16718-3
- Collation
- XI, 139
- Series Title
- Lecture Notes in Physics
- Call Number
- -
https://link.springer.com/book/10.1007/978-1-4614-9111-
These lecture notes present a concise and introductory, yet as far as possible coherent, view of the main formalizations of quantum mechanics and of quantum field theories, their interrelations and their theoretical foundations. The “standard” formulation of quantum mechanics (involving the Hilbert space of pure states, self-adjoint operators as physical observables, and the probabilisti…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-10539-0
- Collation
- VII, 157, 14 b/w illustrations, 12 illustrations in colour
- Series Title
- Lecture Notes in Physics
- Call Number
- -
The Emerging Quantum
This monograph presents the latest findings from a long-term research project intended to identify the physics behind Quantum Mechanics. A fundamental theory for quantum mechanics is constructed from first physical principles, revealing quantization as an emergent phenomenon arising from a deeper stochastic process. As such, it offers the vibrant community working on the foundations of quantum …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-34792-9
- Collation
- XIII, 366, 9 b/w illustrations
- Series Title
- -
- Call Number
- -
The Functional Analysis of Quantum Information Theory
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 o…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-16718-3
- Collation
- -
- Series Title
- Lecture Notes in Physics
- Call Number
- -
Virtual Turning Points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lame…
- Edition
- -
- ISBN/ISSN
- 978-4-431-55702-9
- Collation
- XII, 126
- Series Title
- -
- Call Number
- -
Tunneling Dynamics in Open Ultracold Bosonic Systems Numerically Exact Dynam…
This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-…
- Edition
- -
- ISBN/ISSN
- 978-3-319-07085-8
- Collation
- 43 illustrations in colour
- Series Title
- -
- Call Number
- -
Tunneling Dynamics in Open Ultracold Bosonic Systems
This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-…
- Edition
- -
- ISBN/ISSN
- 978-3-319-07085-8
- Collation
- XIX, 139
- Series Title
- -
- Call Number
- -
Multidimensional Periodic Schrödinger Operator:Perturbation Theory and Appli…
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch funct…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-38671-3
- Collation
- X
- Series Title
- Springer Tracts in Modern Physics
- Call Number
- -
Multidimensional Periodic Schrödinger Operator
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch funct…
- Edition
- -
- ISBN/ISSN
- 978-3-319-38671-3
- Collation
- X, 242
- Series Title
- Springer Tracts in Modern Physics
- Call Number
- -
Multi-Step Multi-Input One-Way Quantum Information Processing with Spatial an…
In this thesis, the author develops for the first time an implementation methodology for arbitrary Gaussian operations using temporal-mode cluster states. The author also presents three experiments involving continuous-variable one-way quantum computations, where their non-classical nature is shown by observing entanglement at the outputs. The experimental basic structure of one-way quantum com…
- Edition
- 1
- ISBN/ISSN
- 978-4-431-55018-1
- Collation
- XIX, 351
- Series Title
- Springer Theses
- Call Number
- -
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