Source-linked AI summary
Arbitrarily Accurate Dynamical Control in Open Quantum Systems
Kaveh Khodjasteh, Daniel A. Lidar, Lorenza Viola
TL;DR
With bounded controls, existing dynamical-decoupling approaches did not provide arbitrarily accurate generic gates for open quantum systems. This paper constructs concatenated dynamically corrected gates, whose perturbative error suppression can reach arbitrarily high order in principle, with accuracy constrained by error strength and control modulation rate.
Problem
With bounded controls, known schemes either offered only second-order decoherence suppression or did not extend to generic gates and open quantum systems.
Source: p. 1Method
The authors recursively concatenate dynamically corrected gates to construct higher-order gates without requiring quantitative knowledge of the system-environment interaction.
Source: pp. 1, 3Results
Decoherence suppression can in principle reach arbitrarily high order, limited by relevant error strength and achievable control modulation rate.
Source: p. 1Takeaways & Limitations
Concatenated dynamically corrected gates provide a systematic feedback-free framework for designing gates with high protection against decoherence in quantum information processing.
Source: p. 1The setting assumes bounded error operators and control modulation bounded in amplitude with a positive minimum switching time.
Source: p. 2
Abstract
from arXiv · showhide
We show that open-loop dynamical control techniques may be used to synthesize unitary transformations in open quantum systems in such a way that decoherence is perturbatively compensated for to a desired (in principle arbitrarily high) level of accuracy, which depends only on the strength of the relevant errors and the achievable rate of control modulation. Our constructive and fully analytical solution employs concatenated dynamically corrected gates, and is applicable independently of detailed knowledge of the system-environment interactions and environment dynamics. Explicit implications for boosting quantum gate fidelities in realistic scenarios are addressed.