586 citations · 3.5k across the 32 of their papers we have counts for
8 papers · 2 filters
Linear Quantum Error Correction
A. Shabani, D. A. Lidar
We develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in particular maps that are not completely positive (CP). This theory describes en…
Non-Markovian dynamics of a qubit coupled to an Ising spin bath
Hari Krovi, Ognyan Oreshkov, Mikhail Ryazanov +1
We study the analytically solvable Ising model of a single qubit system coupled to a spin bath. The purpose of this study is to analyze and elucidate the performance of Markovian a…
Towards Fault Tolerant Adiabatic Quantum Computation
Daniel A. Lidar
I show how to protect adiabatic quantum computation (AQC) against decoherence and certain control errors, using a hybrid methodology involving dynamical decoupling, subsystem and s…
Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
A. Hamma, W. Zhang, S. Haas +1
We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that…
On the Exact Evaluation of Certain Instances of the Potts Partition Function by Quantum Computers
Joseph Geraci, Daniel A. Lidar
We present an efficient quantum algorithm for the exact evaluation of either the fully ferromagnetic or anti-ferromagnetic q-state Potts partition function Z for a family of graphs…
Robust Quantum Error Correction via Convex Optimization
R. L. Kosut, A. Shabani, D. A. Lidar
We present a semidefinite program optimization approach to quantum error correction that yields codes and recovery procedures that are robust against significant variations in the…