A quantum memory controller logs which of four calibration routines it ran on start-up
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 quantum memory controller logs which of four calibration routines it ran on start-up. Over many runs the routines occur with probabilities 0.4, 0.3, 0.2 and 0.1. Treating the logged routine as a random variable X, compute the Shannon entropy H(X) in bits.