586 citations · 2.1k across the 15 of their papers we have counts for
15 papers · 1 filter
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…
Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems
A. Shabani, D. A. Lidar
We introduce a generalized theory of decoherence-free subspaces and subsystems (DFSs), which do not require accurate initialization. We derive a new set of conditions for the exist…
Encoding a qubit into multilevel subspaces
Matthew Grace, Constantin Brif, Herschel Rabitz +3
We present a formalism for encoding the logical basis of a qubit into subspaces of multiple physical levels. The need for this multilevel encoding arises naturally in situations wh…
Stabilizing qubit coherence via tracking-control
Daniel A. Lidar, Sara Schneider
We consider the problem of stabilizing the coherence of a single qubit subject to Markovian decoherence, via the application of a control Hamiltonian, without any additional resour…