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Erasure decoding of two-dimensional color codes
Published in American Physical Society
2019
Volume: 100
   
Issue: 4
Abstract
The quantum erasure channel models phenomena such as loss or leakage of qubits. Using quantum codes, we can recover from such errors. In this paper, we are interested in studying the performance of two-dimensional color codes over the quantum erasure channel. Our approach makes use of the local equivalence between color codes and surface codes. We propose a variety of decoding algorithms for color codes over the erasure channel. First, we propose algorithms that decode by projecting the erasures on the color to surface codes. Then, instead of directly decoding on the color code or on the equivalent copies of surface codes, we decode jointly on the color code and the equivalent surface codes. We observe a threshold of 44.3% for the color code on the square octagonal lattice. © 2019 American Physical Society.
About the journal
JournalData powered by TypesetPhysical Review A
PublisherData powered by TypesetAmerican Physical Society
ISSN24699926
Open AccessNo
Concepts (9)
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    COLOR CODES
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    Decoding
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    Quantum computers
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    DECODING ALGORITHM
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    Erasure channels
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    ERASURE DECODING
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    QUANTUM CODES
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    QUANTUM ERASURE
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    Color