1995/04/19 by Hoi-Kwong Lo · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum capacity #Quantum channel #Quantum information #Quantum mutual information #Quantum no-deleting theorem #Quantum relative entropy #Quantum state #Von Neumann entropy #hep-th #quant-ph
paper · pdf · doi:10.1016/0030-4018(95)00406-x
Overlap with some unpublished work noted. Limitation clarified. 11 pages, REVTEX, amsfonts
arxiv created 1995/04/19 · openalex publication_date 1995/09/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We prove a theorem for coding mixed-state quantum signals. For a class of coding schemes, the von Neumann entropy S of the density operator describing an ensemble of mixed quantum signal states is shown to be equal to the number of spin-1/2 systems necessary to represent the signal faithfully. This generalizes previous works on coding pure quantum signal states and is analogous to the Shannon's noiseless coding theorem of classical information theory. We also discuss an example of a more general class of coding schemes which \em beat the limit set by our theorem.