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Correcting quantum error with entanglement

Speaker: Mr. Min-Hsiu Hsieh, Communication Sciences Institute, USCAbstract: 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.Bio: Min-Hsiu Hsieh received his B.S. and M.S. degree from National Taiwan University, Taiwan. He is currently pursuing a Ph.D. degree under the guidance of Prof. Todd Brun and Prof Igor Devetak. His current research focuses on quantum information theory and quantum error correction theory.Host: Prof. Todd Brun, tbrun@usc.edu

Location: Hughes Aircraft Electrical Engineering Center (EEB) - 248

Audiences: Everyone Is Invited

Contact: Mayumi Thrasher