Optimized Quantum Error Correction Codes for Experiments
We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to find the gauges which allow the easiest experimental realization. Hereby, the optimal gauge depends on the underlying physical system and the available means to manipulate it...
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| Published in | arXiv.org |
|---|---|
| Main Author | |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
05.03.2015
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| Online Access | Get full text |
| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.1411.1779 |
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| Abstract | We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to find the gauges which allow the easiest experimental realization. Hereby, the optimal gauge depends on the underlying physical system and the available means to manipulate it. The final goal is to obtain optimal decompositions of QEC codes into elementary operations which can be realized with high experimental fidelities. In the first part of this paper, this subject is studied in a general fashion, while in the second part, a system of trapped ions is treated as a concrete example. A detailed optimization algorithm is explained and various decompositions are presented for the three qubit code, the five qubit code and the seven qubit Steane code. |
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| AbstractList | Phys. Rev. A 91, 022332 (2015) We identify gauge freedoms in quantum error correction (QEC) codes and
introduce strategies for optimal control algorithms to find the gauges which
allow the easiest experimental realization. Hereby, the optimal gauge depends
on the underlying physical system and the available means to manipulate it. The
final goal is to obtain optimal decompositions of QEC codes into elementary
operations which can be realized with high experimental fidelities. In the
first part of this paper, this subject is studied in a general fashion, while
in the second part, a system of trapped ions is treated as a concrete example.
A detailed optimization algorithm is explained and various decompositions are
presented for the three qubit code, the five qubit code and the seven qubit
Steane code. We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to find the gauges which allow the easiest experimental realization. Hereby, the optimal gauge depends on the underlying physical system and the available means to manipulate it. The final goal is to obtain optimal decompositions of QEC codes into elementary operations which can be realized with high experimental fidelities. In the first part of this paper, this subject is studied in a general fashion, while in the second part, a system of trapped ions is treated as a concrete example. A detailed optimization algorithm is explained and various decompositions are presented for the three qubit code, the five qubit code and the seven qubit Steane code. |
| Author | Nebendahl, V |
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| BackLink | https://doi.org/10.48550/arXiv.1411.1779$$DView paper in arXiv https://doi.org/10.1103/PhysRevA.91.022332$$DView published paper (Access to full text may be restricted) |
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| Copyright | 2015. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
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| DOI | 10.48550/arxiv.1411.1779 |
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| Snippet | We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to find the gauges which allow the... Phys. Rev. A 91, 022332 (2015) We identify gauge freedoms in quantum error correction (QEC) codes and introduce strategies for optimal control algorithms to... |
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| Title | Optimized Quantum Error Correction Codes for Experiments |
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