The three-qubit bit-flip code has logical error probability per round
PHYSICS · Multi-part · Fermi University Physics · Quantum Information & Technology · Open quantum systems, decoherence and error correction · Open quantum systems, decoherence and error correction
Quantum Information and Technology, Ch Quantum error correction
Problem
The three-qubit bit-flip code has logical error probability pL=3p2−2p3 per round, for independent bit-flip probability p per physical qubit, assuming perfect encoding and syndrome extraction. Calculate pL for
((a)) p=0.02;
((b)) p=0.05; and in each case state whether the code improves on an unencoded qubit.