Fault-Tolerant Quantum Computation For Local Non-Markovian Noise

Abstract

We derive a threshold result for fault-tolerant quantum computation for local non-Markovian noise models. The role of error amplitude in our analysis is played by the product of the elementary gate time t_0 and the spectral width of the interaction Hamiltonian between system and bath. We discuss extensions of our model and the applicability of our analysis.

19 pages+ 3 figures; v2: minor corrections and reply to comment by Alicki (http://arxiv.org/abs/quant-ph/0402139)

References in corpus (5)

• Local Fault-tolerant Quantum Computation
• Introduction to Quantum Computation
• Scalable Quantum Computation in the Presence of Large Detected-Error Rates
• Exact Born Approximation for the Spin-Boson Model
• Comments on "Fault-Tolerant Quantum Computation for Local Non-Markovian Noise"

Cited by in corpus (7)

• Fault-Tolerant Quantum Dynamical Decoupling
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Local Fault-tolerant Quantum Computation
• Quantum accuracy threshold for concatenated distance-3 codes
• Distance-based degrees of polarization for a quantum field
• Simple proof of fault tolerance in the graph-state model
• Decoherence by Correlated Noise and Quantum Error Correction