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Quantum List Decoding from Quantumly Corrupted Codewords for Classical Block Codes of Polynomially Small Rate | | Tomoyuki Yamakami
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23 Oct 2006 | | Abstract: | Our task of quantum list decoding for a classical block code is to recover from a given quantumly corrupted codeword a short list containing all messages whose codewords have high "presence" in this quantumly corrupted codeword. All known families of efficiently quantum list decodable codes, nonetheless, have exponentially-small message rate. We show that certain generalized Reed-Solomon codes concatenated with Hadamard codes of polynomially-small rate and constant codeword alphabet size have efficient quantum list decoding algorithms, provided that target codewords should have relatively high presence in a given quantumly corrupted codeword. | | Source: | arXiv, quant-ph/0610200 | | Services: | Forum | Review | PDF | Favorites | |
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