A single-shot readout of a qubit is misclassified in the classical record with probability
PHYSICS · Subjective · Fermi University Physics · Quantum Information & Technology · Quantum information theory and communication · Quantum information theory and communication
Quantum Information and Technology, Ch Entropy and compression
Problem
A single-shot readout of a qubit is misclassified in the classical record with probability p=0.05, and correctly classified otherwise. Let X be the binary random variable "error occurred" (1) or "no error occurred" (0). Compute H(X) in bits using the binary entropy function h(p).