A probabilistic operator symbol framework for quantum information
量子物理
2010-08-31 v1
摘要
Hilbert space operators may be mapped onto a space of ordinary functions (operator symbols) equipped with an associative (but noncommutative) star-product. A unified framework for such maps is reviewed. Because of its clear probabilistic interpretation, a particular class of operator symbols (tomograms) is proposed as a framework for quantum information problems. Qudit states are identified with maps of the unitary group into the simplex. The image of the unitary group on the simplex provides a geometrical characterization of the nature of the quantum states. Generalized measurements, typical quantum channels, entropies and entropy inequalities are discussed in this setting.
引用
@article{arxiv.quant-ph/0602189,
title = {A probabilistic operator symbol framework for quantum information},
author = {M. A. Man'ko and V. I. Man'ko and R. Vilela Mendes},
journal= {arXiv preprint arXiv:quant-ph/0602189},
year = {2010}
}
备注
37 pages Latex, 3 figures