Quantum fluctuations — An introduction

Vojkan Jakšić, Yoshiko Ogata, Yan Pautrat +1 more

These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.

EDWARD B. NELSON

Michael I. Sobel

V. Jakšić, Yoshiko Ogata, Yan Pautrat +1 more

These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.

EDWARD B. NELSON

Arnab Das, Bikas K. Chakrabarti

The recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations is reviewed here. The concept is introduced in successive steps through studying the mapping of such computationally hard problems to classical spin-glass problems, quantum spin-glass problems arising with the introduction of quantum fluctuations, and the annealing behavior of the systems as these fluctuations are reduced slowly to zero. This provides a general framework for realizing analog quantum computation.