2019 · 16 citations · 41 references
We study approximate quantum low-density parity-check (QLDPC) codes, which are approximate quantum error-correcting codes specified as the ground space of a frustration-free local Hamiltonian, whose terms do not necessarily commute.
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Low-density parity-check codes
Robert G. Gallager · IEEE Transactions on Information Theory · 1962 · 10.5K citations
Engineering, Joint Source-channel Coding, Iterative Decoding +12
Fault-tolerant quantum computation by anyons
Alexei Kitaev · Annals of Physics · 2003 · 7.1K citations · Full text
Good quantum error-correcting codes exist
A.R. Calderbank, Peter W. Shor · Physical Review A · 1996 · 2.5K citations · Full text
Sorting networks and their applications
Kenneth E. Batcher · 1968 · 2.4K citations
Theory of quantum error-correcting codes
Emanuel Knill, Raymond Laflamme · Physical Review A · 1997 · 1.5K citations
Quantum Science, Quantum Cryptography, Quantum Networking +13