586 citations · 5.1k across the 49 of their papers we have counts for
8 papers · 2 filters
Quantum Error Correction Beyond Completely Positive Maps
A. Shabani, D. A. Lidar
By introducing an operator sum representation for arbitrary linear maps, we develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in partic…
Simple proof of equivalence between adiabatic quantum computation and the circuit model
Ari Mizel, Daniel A. Lidar, Morgan Mitchell
We prove the equivalence between adiabatic quantum computation and quantum computation in the circuit model. An explicit adiabatic computation procedure is given that generates a g…
Adiabatic Preparation of Topological Order
Alioscia Hamma, Daniel A. Lidar
Topological order characterizes those phases of matter that defy a description in terms of symmetry and cannot be distinguished in terms local order parameters. This type of order…
Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
Kaveh Khodjasteh, Daniel A. Lidar
Dynamical decoupling can be used to preserve arbitrary quantum states despite undesired interactions with the environment, using control Hamiltonians affecting the system only. We…
Quantum Error Correction via Convex Optimization
Robert L. Kosut, Daniel A. Lidar
We show that the problem of designing a quantum information error correcting procedure can be cast as a bi-convex optimization problem, iterating between encoding and recovery, eac…
Reply to M. Ziman's "Notes on optimality of direct characterization of quantum dynamics"
M. Mohseni, D. A. Lidar
Recently M. Ziman [quant-ph/0603151] criticized our approach for quantifying the required physical resources in the theory of Direct Characterization of Quantum Dynamics (DCQD) [qu…