Physics – Quantum Physics
Scientific paper
2006-10-11
Science 314, 436-439 (2006).
Physics
Quantum Physics
17 pages, no figure. To appear in Science
Scientific paper
10.1126/science.1131563
We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard quantum error correcting codes, thus allowing us to ``quantize'' all of classical linear coding theory. In particular, efficient modern classical codes that attain the Shannon capacity can be made into entanglement-assisted quantum codes attaining the hashing bound (closely related to the quantum capacity). For systems without large amounts of shared entanglement, these codes can also be used as catalytic codes, in which a small amount of initial entanglement enables quantum communication.
Brun Todd
Devetak Igor
Hsieh Min-Hsiu
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