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  Codes for Simultaneous Transmission of Quantum and Classical Information

Grassl, M., Lu, S., & Zeng, B. (in preparation). Codes for Simultaneous Transmission of Quantum and Classical Information.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-E389-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0000-E38A-4
Genre: Conference Paper

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arXiv:1701.06963.pdf (Preprint), 156KB
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 Creators:
Grassl, M.1, Author              
Lu, Sirui2, Author
Zeng, Bei2, Author
Affiliations:
1Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364709              
2External Organizations, ou_persistent22              

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Free keywords: Quantum Physics, Computer Science, Information Theory, Mathematics, Information Theory
 Abstract: We consider the characterization as well as the construction of quantum codes that allow to transmit both quantum and classical information, which we refer to as `hybrid codes'. We construct hybrid codes $[\![n,k{: }m,d]\!]_q$ with length $n$ and distance $d$, that simultaneously transmit $k$ qudits and $m$ symbols from a classical alphabet of size $q$. Many good codes such as $[\![7,1{: }1,3]\!]_2$, $[\![9,2{: }2,3]\!]_2$, $[\![10,3{: }2,3]\!]_2$, $[\![11,4{: }2,3]\!]_2$, $[\![11,1{: }2,4]\!]_2$, $[\![13,1{: }4,4]\!]_2$, $[\![13,1{: }1,5]\!]_2$, $[\![14,1{: }2,5]\!]_2$, $[\![15,1{: }3,5]\!]_2$, $[\![19,9{: }1,4]\!]_2$, $[\![20,9{: }2,4]\!]_2$, $[\![21,9{: }3,4]\!]_2$, $[\![22,9{: }4,4]\!]_2$ have been found. All these codes have better parameters than hybrid codes obtained from the best known stabilizer quantum codes.

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 Dates: 2017-01-242017-05-09
 Publication Status: Not specified
 Pages: 6 pages
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 Identifiers: arXiv: 1701.06963
DOI: 10.1109/ISIT.2017.8006823
URI: http://arxiv.org/abs/1701.06963
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Title: Proceedings 2017 IEEE International Symposium on Information Theory (ISIT 2017)
Source Genre: Proceedings
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Pages: 5 Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -