Physics & Computer Science
Schumacher and Westmoreland [Phys. Rev. A 64, 42304 (2001)] have established a quantum analog of a well-known classical information theory result on a role of relative entropy as a measure of nonoptimality in classical data compression. In this paper, we provide an alternative simple and constructive proof of this result by constructing quantum compression codes schemes from classical data compression codes. Moreover, as the quantum data compression or coding task can be effectively reduced to a quasi classical one, we show that relevant results from classical information theory and data compression become applicable and therefore can be extended to the quantum domain.
Kaltchenko, Alexei, "Reexamination of Quantum Data Compression and Relative Entropy" (2008). Physics and Computer Science Faculty Publications. 75.