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Dynamics, information and complexity in quantum systems / Fabio Benatti
| Dynamics, information and complexity in quantum systems / Fabio Benatti |
| Autore | Benatti, Fabio |
| Pubbl/distr/stampa | [Dordrecht, Netherlands] : Springer, c2009 |
| Descrizione fisica | xi, 535 p. : ill. ; 25 cm |
| Disciplina | 530.12 |
| Collana |
Theoretical and mathematical physics (Springer (Firm))
Theoretical and mathematical physics, 1864-5879 |
| Soggetto topico |
Quantum theory
Kolmogorov complexity Quantum entropy Differentiable dynamical systems Computational complexity |
| ISBN | 9781402093050 (acid-free paper) |
| Classificazione |
LC QC174.12
53.1.3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Classical dynamical systems -- Quantum dynamical systems -- Quantum dynamical entropies and complexities |
| Record Nr. | UNISALENTO-991000406739707536 |
Benatti, Fabio
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| [Dordrecht, Netherlands] : Springer, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8208-2
0-8218-5853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""4.2. The von Neumann Double Commutant Theorem""""4.3. Properties of the conditional expectation""; ""4.4. Pinching, conditional expectations, and the Operator Jensen Inequality""; ""5. Tensor products""; ""5.1. Basic definitions and elementary properties of tensor products""; ""5.2. Tensor products and inner products""; ""5.3. Tensor products of matrices""; ""5.4. The partial trace""; ""5.5. Ando's identity""; ""6. Lieb's Concavity Theorem and related results""; ""6.1. Lieb's Concavity Theorem""; ""6.2. Ando's Convexity Theorem""
""6.3. Lieb's Concavity Theorem and joint convexity of the relative entropy"" |
| Record Nr. | UNINA-9910479999403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN |
0-8218-8208-2
0-8218-5853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Outline of Quantum Mechanics -- 1. The setting for quantum mechanics -- 2. The Schrödinger equation -- 3. Self-adjoint operators -- 4. The role of Planck's constant -- 5. Spin and statistics -- 6. Fundamental structures of quantum mechanics -- Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem -- Trace Inequalities and Quantum Entropy: An Introductory Course -- 1. Introduction -- 2. Operator convexity and monotonicity -- 3. The joint convexity of certain operator functions -- 4. Projections onto *-subalgebras and convexity inequalities -- 5. Tensor products -- 6. Lieb's Concavity Theorem and related results -- 7. Lp norms for matrices and entropy inequalities -- 8. Brascamp-Lieb type inequalities for traces -- Acknowledgements -- References -- Lieb-Robinson Bounds in Quantum Many-Body Physics -- Remarks on the Additivity Conjectures for Quantum Channels -- On the Static and Dynamical Collapse of White Dwarfs -- |
| Record Nr. | UNINA-9910788632803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN |
0-8218-8208-2
0-8218-5853-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Outline of Quantum Mechanics -- 1. The setting for quantum mechanics -- 2. The Schrödinger equation -- 3. Self-adjoint operators -- 4. The role of Planck's constant -- 5. Spin and statistics -- 6. Fundamental structures of quantum mechanics -- Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem -- Trace Inequalities and Quantum Entropy: An Introductory Course -- 1. Introduction -- 2. Operator convexity and monotonicity -- 3. The joint convexity of certain operator functions -- 4. Projections onto *-subalgebras and convexity inequalities -- 5. Tensor products -- 6. Lieb's Concavity Theorem and related results -- 7. Lp norms for matrices and entropy inequalities -- 8. Brascamp-Lieb type inequalities for traces -- Acknowledgements -- References -- Lieb-Robinson Bounds in Quantum Many-Body Physics -- Remarks on the Additivity Conjectures for Quantum Channels -- On the Static and Dynamical Collapse of White Dwarfs -- |
| Record Nr. | UNINA-9910821760203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8231-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Quantum Heisenberg Models and their Probabilistic Representations""""1. Introduction""; ""1.1. Guide to notation""; ""2. Hilbert space, spin operators, Heisenberg Hamiltonian""; ""2.1. Graphs and Hilbert space""; ""2.2. Spin operators""; ""2.3. Hamiltonians and magnetization""; ""2.4. Gibbs states and free energy""; ""2.5. Symmetries""; ""3. Stochastic representations""; ""3.1. Poisson edge process, cycles and loops""; ""3.2. Duhamel expansion""; ""3.3. Tóth's representation of the ferromagnet""; ""3.4. Aizenman-Nachtergaele's representation of the antiferromagnet""
""4. Thermodynamic limit and phase transitions""""4.1. Thermodynamic limit""; ""4.2. Ferromagnetic phase transition""; ""4.3. Antiferromagnetic phase transition"" |
| Record Nr. | UNINA-9910479927303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN | 0-8218-8231-7 |
| Classificazione | 15B5235P1535Q2060B1260K3581Q1082B1082B4482C1082C40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Kinetic theory and the Kac Master equation / Eric Carlen, Maria C. Carvalho and Michael Loss -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10908) Isoperimetric inequalities for eigenvalues of the Laplacian / Rafael D. Benguria -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10909) Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian / Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10910) An introduction to the mathematics of Anderson localization / Günter Stolz -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10911) Schrödinger operators with potential $V(n)=n{̂-\gamma }\cos (2\pi n{̂\rho })$ / Helge Krüger -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10912) Random unitary models and their localization properties / Alain Joye -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10913) Universality of correlations for random analytic functions / Shannon Starr -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10914) A Wegner estimate for Wigner matrices / Anna Maltsev and Benjamin Schlein -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10915) Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics / Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10916) Quantum Heisenberg models and their probabilistic representations / Christina Goldschmidt, Daniel Ueltschi and Peter Windridge -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10917) |
| Record Nr. | UNINA-9910788635703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors
| Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona / / Robert Sims, Daniel Ueltschi, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 530.12 |
| Collana | Contemporary mathematics |
| Soggetto topico | Quantum entropy |
| ISBN | 0-8218-8231-7 |
| Classificazione | 15B5235P1535Q2060B1260K3581Q1082B1082B4482C1082C40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Kinetic theory and the Kac Master equation / Eric Carlen, Maria C. Carvalho and Michael Loss -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10908) Isoperimetric inequalities for eigenvalues of the Laplacian / Rafael D. Benguria -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10909) Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian / Najoua Gamara, Abdelhalim Hasnaoui and Lotfi Hermi -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10910) An introduction to the mathematics of Anderson localization / Günter Stolz -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10911) Schrödinger operators with potential $V(n)=n{̂-\gamma }\cos (2\pi n{̂\rho })$ / Helge Krüger -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10912) Random unitary models and their localization properties / Alain Joye -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10913) Universality of correlations for random analytic functions / Shannon Starr -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10914) A Wegner estimate for Wigner matrices / Anna Maltsev and Benjamin Schlein -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10915) Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics / Bruno Nachtergaele, Anna Vershynina and Valentin A. Zagrebnov -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10916) Quantum Heisenberg models and their probabilistic representations / Christina Goldschmidt, Daniel Ueltschi and Peter Windridge -- (http://www.ams.org/conm/552/) (http://dx.doi.org/10.1090/conm/552/10917) |
| Record Nr. | UNINA-9910821760903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum systems, channels, information [[electronic resource] ] : a mathematical introduction / / Alexander S. Holevo
| Quantum systems, channels, information [[electronic resource] ] : a mathematical introduction / / Alexander S. Holevo |
| Autore | Kholevo A. S (Aleksandr Semenovich) |
| Pubbl/distr/stampa | Berlin, : Walter de Gruyter GmbH & Co. KG, 2012 |
| Descrizione fisica | 1 online resource (364 p.) |
| Disciplina | 530.15 |
| Collana | De Gruyter Studies in Mathematical Physics |
| Soggetto topico |
Information theory in physics
Quantum entropy |
| Soggetto genere / forma | Electronic books. |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Part I. Basic structures -- Chapter 1. Vectors and operators -- Chapter 2. States, observables, statistics -- Chapter 3. Composite systems and entanglement -- Part II. The primary coding theorems -- Chapter 4. Classical entropy and information -- Chapter 5. The classical-quantum channel -- Part III. Channels and entropies -- Chapter 6. Quantum evolutions and channels -- Chapter 7. Quantum entropy and information quantities -- Part IV. Basic channel capacities -- Chapter 8. The classical capacity of quantum channel -- Chapter 9. Entanglement-assisted classical communication -- Chapter 10. Transmission of quantum information -- Part V. Infinite systems -- Chapter 11. Channels with constrained inputs -- Chapter 12. Gaussian systems -- Bibliography -- Index |
| Record Nr. | UNINA-9910463333903321 |
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Kholevo A. S (Aleksandr Semenovich)
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| Berlin, : Walter de Gruyter GmbH & Co. KG, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum systems, channels, information [[electronic resource] ] : a mathematical introduction / / Alexander S. Holevo
| Quantum systems, channels, information [[electronic resource] ] : a mathematical introduction / / Alexander S. Holevo |
| Autore | Kholevo A. S (Aleksandr Semenovich) |
| Pubbl/distr/stampa | Berlin, : Walter de Gruyter GmbH & Co. KG, 2012 |
| Descrizione fisica | 1 online resource (364 p.) |
| Disciplina | 530.15 |
| Collana | De Gruyter Studies in Mathematical Physics |
| Soggetto topico |
Information theory in physics
Quantum entropy |
| Soggetto non controllato |
Quantum Computing
Quantum Cryptography Quantum Information Quantum Systems Quantum Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Part I. Basic structures -- Chapter 1. Vectors and operators -- Chapter 2. States, observables, statistics -- Chapter 3. Composite systems and entanglement -- Part II. The primary coding theorems -- Chapter 4. Classical entropy and information -- Chapter 5. The classical-quantum channel -- Part III. Channels and entropies -- Chapter 6. Quantum evolutions and channels -- Chapter 7. Quantum entropy and information quantities -- Part IV. Basic channel capacities -- Chapter 8. The classical capacity of quantum channel -- Chapter 9. Entanglement-assisted classical communication -- Chapter 10. Transmission of quantum information -- Part V. Infinite systems -- Chapter 11. Channels with constrained inputs -- Chapter 12. Gaussian systems -- Bibliography -- Index |
| Record Nr. | UNINA-9910786011503321 |
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Kholevo A. S (Aleksandr Semenovich)
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| Berlin, : Walter de Gruyter GmbH & Co. KG, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum systems, channels, information : a mathematical introduction / / Alexander S. Holevo
| Quantum systems, channels, information : a mathematical introduction / / Alexander S. Holevo |
| Autore | Kholevo A. S (Aleksandr Semenovich) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin, : Walter de Gruyter GmbH & Co. KG, 2012 |
| Descrizione fisica | 1 online resource (364 p.) |
| Disciplina | 530.15 |
| Collana | De Gruyter Studies in Mathematical Physics |
| Soggetto topico |
Information theory in physics
Quantum entropy |
| Soggetto non controllato |
Quantum Computing
Quantum Cryptography Quantum Information Quantum Systems Quantum Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Part I. Basic structures -- Chapter 1. Vectors and operators -- Chapter 2. States, observables, statistics -- Chapter 3. Composite systems and entanglement -- Part II. The primary coding theorems -- Chapter 4. Classical entropy and information -- Chapter 5. The classical-quantum channel -- Part III. Channels and entropies -- Chapter 6. Quantum evolutions and channels -- Chapter 7. Quantum entropy and information quantities -- Part IV. Basic channel capacities -- Chapter 8. The classical capacity of quantum channel -- Chapter 9. Entanglement-assisted classical communication -- Chapter 10. Transmission of quantum information -- Part V. Infinite systems -- Chapter 11. Channels with constrained inputs -- Chapter 12. Gaussian systems -- Bibliography -- Index |
| Record Nr. | UNINA-9910812304803321 |
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Kholevo A. S (Aleksandr Semenovich)
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| Berlin, : Walter de Gruyter GmbH & Co. KG, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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