Quantum Data Compression and Quantum Cross Entropy. (arXiv:2106.13823v2 [quant-ph] UPDATED)

Quantum machine learning is an emerging field at the intersection of machine
learning and quantum computing. A central quantity for the theoretical
foundation of quantum machine learning is the quantum cross entropy. In this
paper, we present one operational interpretation of this quantity, that the
quantum cross entropy is the compression rate for sub-optimal quantum source
coding. To do so, we give a simple, universal quantum data compression
protocol, which is developed based on quantum generalization of variable-length
coding, as …

arxiv compression data data compression entropy quantum quantum data