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» Locally Decodable Quantum Codes
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97
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STACS
2009
Springer
15 years 5 months ago
Locally Decodable Quantum Codes
We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that ...
Jop Briet, Ronald de Wolf
73
Voted
STOC
2003
ACM
118views Algorithms» more  STOC 2003»
15 years 11 months ago
Exponential lower bound for 2-query locally decodable codes via a quantum argument
Iordanis Kerenidis, Ronald de Wolf
ICALP
2005
Springer
15 years 4 months ago
Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Stephanie Wehner, Ronald de Wolf
CATS
2007
15 years 9 days ago
Quantum List Decoding from Quantumly Corrupted Codewords for Classical Block Codes of Polynomially Small Rate
d Abstract) Tomoyuki Yamakami Department of Computer Software, University of Aizu 90 Kami-Iawase, Tsuruga, Ikki-machi, Fukushima 965-8580, Japan Our task of quantum list decoding ...
Tomoyuki Yamakami
111
Voted
ECCC
2010
147views more  ECCC 2010»
14 years 5 months ago
A Note on Amplifying the Error-Tolerance of Locally Decodable Codes
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setti...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma