Quantum annealing and related optimization methods / Arnab Das, Bikas K. Chakrabarti (eds.).

Contributor(s): Das, Arnab | Chakrabarti, B. K. (Bikas K.), 1952-
Material type: TextTextSeries: Lecture notes in physics: 679.Publisher: Berlin ; New York : Springer, ©2005Description: 1 online resource (xiv, 376 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540315155; 3540315152; 9783540279877; 3540279873Subject(s): Simulated annealing (Mathematics) | Spin glasses | Fluctuations (Physics) | Quantum theory | Recuit simulé | Verres de spin | Fluctuations (Physique) | Théorie quantique | Physique | Fluctuations (Physics) | Quantum theory | Simulated annealing (Mathematics) | Spin glassesGenre/Form: Electronic books. Additional physical formats: Print version:: Quantum annealing and related optimization methods.DDC classification: 530.12 LOC classification: QC176.8.A6 | Q36 2005ebOnline resources: Click here to access online
Contents:
Transverse Ising model, glass and quantum annealing / Bikas K. Chakrabarti, Arnab Das -- Finding exponential product formulas of higher orders / Naomichi Hatano, Masuo Suzuki -- Quantum spin glasses / Heiko Rieger -- Ergodicity, replica symmetry, spin glass, and quantum phase transition / Jong-Jean Kim -- Decoherence and quantum couplings in a noisy environment / Andrew Fisher -- Experiments on quantum annealing / Gabriel Aeppli, Thomas F. Rosenbaum -- Deterministic and stochastic quantum annealing approaches / Demian Battaglia [and others] -- Simulated quantum annealing by the real-time evolution / Sei Suzuki, Masato Okada -- Quantum annealing of a "J spin glass and a kinetically constrained system / Arnab Das, Bikas K. Chakrabarti -- Quantum spin glasses quantum annealing, and probabilistic information processing / Jun-Ichi Inoue -- Combinatorial optimization and the physics of disordered systems / Heiko Rieger -- Dynamical frustration in ANNNI model and annealing / Parongama and Pratap K. Das -- Exploring complex landscapes with classical Monte Carlo / Victor Martín-Mayor.
In: Springer e-booksSummary: Quantum annealing employs quantum fluctuations in frustrated systems or networks to anneal the system down to its ground state, or more generally to its so-called minimum cost state. Often this procedure turns out to be more effective, in multivariable optimization problems, than its classical counterpart utilizing tunable thermal fluctuations. This volume is divided into three parts. Part I is an extensive tutorial introduction familiarizing the reader with the background material necessary to follow the core of the book. Part II gives a comprehensive account of the fundamentals and applications of the quantum annealing method, and Part III compares quantum annealing with other related optimization methods. This is the first book entirely devoted to quantum annealing and will be both an invaluable primer and guidebook for all advanced students and researchers in this important field.
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Includes bibliographical references and index.

Transverse Ising model, glass and quantum annealing / Bikas K. Chakrabarti, Arnab Das -- Finding exponential product formulas of higher orders / Naomichi Hatano, Masuo Suzuki -- Quantum spin glasses / Heiko Rieger -- Ergodicity, replica symmetry, spin glass, and quantum phase transition / Jong-Jean Kim -- Decoherence and quantum couplings in a noisy environment / Andrew Fisher -- Experiments on quantum annealing / Gabriel Aeppli, Thomas F. Rosenbaum -- Deterministic and stochastic quantum annealing approaches / Demian Battaglia [and others] -- Simulated quantum annealing by the real-time evolution / Sei Suzuki, Masato Okada -- Quantum annealing of a "J spin glass and a kinetically constrained system / Arnab Das, Bikas K. Chakrabarti -- Quantum spin glasses quantum annealing, and probabilistic information processing / Jun-Ichi Inoue -- Combinatorial optimization and the physics of disordered systems / Heiko Rieger -- Dynamical frustration in ANNNI model and annealing / Parongama and Pratap K. Das -- Exploring complex landscapes with classical Monte Carlo / Victor Martín-Mayor.

Print version record.

Quantum annealing employs quantum fluctuations in frustrated systems or networks to anneal the system down to its ground state, or more generally to its so-called minimum cost state. Often this procedure turns out to be more effective, in multivariable optimization problems, than its classical counterpart utilizing tunable thermal fluctuations. This volume is divided into three parts. Part I is an extensive tutorial introduction familiarizing the reader with the background material necessary to follow the core of the book. Part II gives a comprehensive account of the fundamentals and applications of the quantum annealing method, and Part III compares quantum annealing with other related optimization methods. This is the first book entirely devoted to quantum annealing and will be both an invaluable primer and guidebook for all advanced students and researchers in this important field.

English.

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