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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…
Robustness of multi-qubit entanglement in the independent decoherence model
Somshubhro Bandyopadhyay, Daniel A. Lidar
We study the robustness of the GHZ (or ``cat'') class of multi-partite states under decoherence. The noise model is described by a general completely positive map for qubits indepe…
Fault-Tolerant Quantum Dynamical Decoupling
K. Khodjasteh, D. A. Lidar
Dynamical decoupling pulse sequences have been used to extend coherence times in quantum systems ever since the discovery of the spin-echo effect. Here we introduce a method of rec…