Dynamical decoupling sequence construction as a filter-design problem
By M. Biercuk, Andrew C. Doherty, H. Uys. 2010
191 citations recorded by the source corpus.
Over the past decade we have seen an explosion of demonstrations of quantum coherence in atomic, optical and condensed matter systems. These developments have placed a new emphasis on the production of robust and optimal quantum control techniques in the presence of environmental noise. We discuss the use of dynamical decoupling as a form of open-loop quantum control capable of suppressing the effects of dephasing in quantum coherent systems. We introduce the concept of dynamical decoupling pulse-sequence construction as a filter-design problem, making connections with filter design from control theory and electrical engineering in the analysis of pulse-sequence performance for the preservation of the phase degree of freedom in a quantum superposition. A detailed mathematical description of how dephasing and its suppression can be reduced to a linear control problem is provided, and used as motivation and context for studies of the filtration properties of various dynamical decoupling sequences. Our work then takes this practical perspective in addressing both ‘standard’ sequences derived from nuclear magnetic resonance and novel optimized sequences developed in the context of quantum information. Additionally, we review new techniques for the numerical construction of optimized pulse sequences in this light. We show how the filter-design perspective permits concise comparisons of the relative capabilities of these sequences and reveals the physics underlying their functionality. The use of this new analytical framework allows us to derive new insights into the performance of these sequences and reveals important limiting issues, such as the effect of digital clocking on optimized sequence performance.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/1007040bc73de6365ed371c7f40b37db28c2c417
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Demonstration of the trapped-ion quantum CCD computer architecture (2020, methodology): “Our estimate for the magnitude of this error uses the measured voltage noise spectral density and a numerically calculated phase noise filter function [51].”
- 1 / f noise: Implications for solid-state quantum information (2013, methodology): “In the spirit of UDD, several new pulse sequences were introduced in the last few years, achieving optimization for a given sequence duration (Biercuk et al., 2009), or being nearly optimal for generic single-qubit decoherence (West, Fong, and Lidar, 2010) or for specific environments (Pasini and Uh”