title: Optimally combining dynamical decoupling and quantum error correction.
abstract: Quantum control and fault-tolerant quantum computing (FTQC) are two of the cornerstones on which the hope of realizing a large-scale quantum computer is pinned, yet only preliminary steps have been taken towards formalizing the interplay between them. Here we explore this interplay using the powerful strategy of dynamical decoupling (DD), and show how it can be seamlessly and optimally integrated with FTQC. To this end we show how to find the optimal decoupling generator set (DGS) for various subspaces relevant to FTQC, and how to simultaneously decouple them. We focus on stabilizer codes, which represent the largest contribution to the size of the DGS, showing that the intuitive choice comprising the stabilizers and logical operators of the code is in fact optimal, i.e., minimizes a natural cost function associated with the length of DD sequences. Our work brings hybrid DD-FTQC schemes, and their potentially considerable advantages, closer to realization.
authors.affiliation: Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA. pazsilva@usc.edu
authors.forename: Gerardo A
authors.initials: GA
authors.lastname: Paz-Silva
authors.forename: D A
authors.initials: DA
authors.lastname: Lidar
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D034201:Computers, Handheld; D016247:Information Storage and Retrieval / Q000379:methods*; D008962:Models, Theoretical; D011789:Quantum Theory
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