Polylog-LDPC Capacity Achieving Codes for the Noisy Quantum Erasure Channel

We provide polylog sparse quantum codes for correcting the erasure channel arbitrarily close to the capacity. Specifically, we provide [[n, k, d]] quantum stabilizer codes that correct for the erasure channel arbitrarily close to the capacity if the erasure probability is at least 0.33, and with a g...

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Bibliographic Details
Main Authors: Lloyd, Seth, Shor, Peter Williston, Thompson, Kevin
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2020
Online Access:https://hdl.handle.net/1721.1/126678