Fundamentals of quantum mutual entropy and capacity Export

@article{citeulike:2226010, abstract = {The study of mutual entropy (information) and capacity in classica l system was extensively done after Shannon by several authors like Kolmogor ov and Gelfand. In quantum systems, there have been several definitions of t he mutual entropy for classical input and quantum output. In 1983, the autho r defined the fully quantum mechanical mutual entropy by means of the relati ve entropy of Umegaki, and he extended it to general quantum systems by the relative entropy of Araki and Uhlmann. When the author introduced the quantu m mutual entropy, he did not indicate that it contains other definitions of the mutual entropy including classical one, so that there exist several misu nderstandings for the use of the mutual entropy (information) to compute the capacity of quantum channels. Therefore in this note we point out that our quantum mutual entropy generalizes others and where the m isuse occurs.}, archivePrefix = {arXiv}, author = {Ohya, M.}, citeulike-article-id = {2226010}, citeulike-linkout-0 = {http://arxiv.org/abs/quant-ph/9806042}, citeulike-linkout-1 = {http://arxiv.org/pdf/quant-ph/9806042}, citeulike-linkout-2 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1998quant.ph..6042O}, eprint = {quant-ph/9806042}, journal = {ArXiv Quantum Physics e-prints}, keywords = {capacity, correlation-entropy, correlations, mutual-entropy, quantum-information-theory, quantum-mutual-entropy}, month = {June}, posted-at = {2008-01-13 14:28:35}, priority = {2}, title = {Fundamentals of quantum mutual entropy and capacity}, url = {http://arxiv.org/abs/quant-ph/9806042}, year = {1998} }

TY - JOUR ID - citeulike:2226010 L3 - citeulike-article-id:2226010 N2 - The study of mutual entropy (information) and capacity in classica l system was extensively done after Shannon by several authors like Kolmogor ov and Gelfand. In quantum systems, there have been several definitions of t he mutual entropy for classical input and quantum output. In 1983, the autho r defined the fully quantum mechanical mutual entropy by means of the relati ve entropy of Umegaki, and he extended it to general quantum systems by the relative entropy of Araki and Uhlmann. When the author introduced the quantu m mutual entropy, he did not indicate that it contains other definitions of the mutual entropy including classical one, so that there exist several misu nderstandings for the use of the mutual entropy (information) to compute the capacity of quantum channels. Therefore in this note we point out that our quantum mutual entropy generalizes others and where the m isuse occurs. JF - ArXiv Quantum Physics e-prints TI - Fundamentals of quantum mutual entropy and capacity KW - capacity KW - correlation-entropy KW - correlations KW - mutual-entropy KW - quantum-information-theory KW - quantum-mutual-entropy AU - Ohya, M PY - 1998/June// UR - http://arxiv.org/abs/quant-ph/9806042 ER -