Decoding algorithms

For which probability vectors \(\mathbf p=(p_I,p_X,p_Y,p_Z)\) can quantum low-density parity-check (LDPC) stabilizer codes reliably attain the exact hashing rate over the Pauli channel?

• Quantum Error Correction
• Quantum LDPC codes
• Quantum coding theory
• Decoding algorithms

Can Holevo–Schumacher–Westmoreland codebooks operating at every rate below their ensemble Holevo information be chosen so that their square-root, or pretty-good, measurements have uniform quantum implementations whose cost is polynomial in the blocklength and…

• Quantum Algorithm
• Quantum Communication
• Decoding algorithms
• Classical capacity
• Quantum state discrimination