Distance Bounds on Quantum Dynamics

Abstract

We derive rigorous upper bounds on the distance between quantum states in an open system setting, in terms of the operator norm between the Hamiltonians describing their evolution. We illustrate our results with an example taken from protection against decoherence using dynamical decoupling.

7 pages

References in corpus (4)

• Fault-Tolerant Quantum Dynamical Decoupling
• Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
• Towards Fault Tolerant Adiabatic Quantum Computation
• Lower bounds on the complexity of simulating quantum gates