149 citations
4 papers
Large deviations for two scaled diffusions
R. Liptser
We formulate large deviations principle (LDP) for diffusion pair , where first component has a small diffusion parameter while the second is ergodic Markov…
Abelian and non-Abelian geometric phases in adiabatic open quantum systems
M. S. Sarandy, D. A. Lidar
We introduce a self-consistent framework for the analysis of both Abelian and non-Abelian geometric phases associated with open quantum systems, undergoing cyclic adiabatic evoluti…
Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
R. Alicki, D. A. Lidar, P. Zanardi
We critically examine the internal consistency of a set of minimal assumptions entering the theory of fault-tolerant quantum error correction for Markovian noise. These assumptions…
Holonomic quantum computation in decoherence-free subspaces
L. -A. Wu, P. Zanardi, D. A. Lidar
We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring to…