Towards Fault Tolerant Adiabatic Quantum Computation

Abstract

I show how to protect adiabatic quantum computation (AQC) against decoherence and certain control errors, using a hybrid methodology involving dynamical decoupling, subsystem and stabilizer codes, and energy gaps. Corresponding error bounds are derived. As an example I show how to perform decoherence-protected AQC against local noise using at most two-body interactions.

Replaced with published version

References in corpus (2)

• Fault-Tolerant Quantum Dynamical Decoupling
• Noise resistance of adiabatic quantum computation using random matrix theory

Cited by in corpus (5)

• Distance Bounds on Quantum Dynamics
• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Local Hamiltonians in Quantum Computation
• Universal quantum walks and adiabatic algorithms by 1D Hamiltonians
• The Detectability Lemma and Quantum Gap Amplification