Optimally combining dynamical decoupling and quantum error correction

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Author(s)
Paz-Silva, Gerardo A.
Lidar, Daniel A.
Griffith University Author(s)
Year published
2013
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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 ...
View more >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.
View less >
View more >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.
View less >
Journal Title
Scientific Reports
Volume
3
Copyright Statement
© The Author(s). 2013 This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Subject
Quantum physics not elsewhere classified