Quantum Spin Glasses, Annealing and Computation (Relié)

Local arrests occur dynamically in spin glasses due to non-conforming or frustrating interaction constraints. Researches in the last two and half decades have revealed that quantum annealing can help to avoid such local arrests due to tunneling through tall but thin barriers. Additionally, various researches in computer science, in the last three and half decades, have noticed that the computationally hard problems have a generic spin glass like dynamical structure.
Consequently, quantum annealing in the effective spin glass models allows for the development of a new generation of efficient quantum computers. Some prototypes of such quantum annealing computers have already been developed in the last couple of years with remarkable reported success. This book focuses on the recent developments in quantum statistical physics of spin glasses and quantum computations.
It offers detailed discussions on quantum statistical physics of spin glasses. From there, it takes the readers to the recent researches revealing that annealing such systems, starting from high quantum noige levels down to zero noise, can help the dynamics of such complex systems to avoid local arrests and converge towards their desired optimal or ground states. The book intends to introduce the readers to these intriguing theoretical developments.