Quantum information theory
Abstract
Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent quantum information, and entanglement. Exploring the rich variety of capabilities allowed by these types of information is the subject of quantum information theory, and of this Dissertation. In particular, I demonstrate several novel limits to the information processing ability of quantum mechanics. Results of especial interest include: the demonstration of limitations to the class of measurements which may be performed in quantum mechanics; a capacity theorem giving achievable limits to the transmission of classical information through a twoway noiseless quantum channel; resource bounds on distributed quantum computation; a new proof of the quantum noiseless channel coding theorem; an informationtheoretic characterization of the conditions under which quantum errorcorrection may be achieved; an analysis of the thermodynamic limits to quantum errorcorrection, and new bounds on channel capacity for noisy quantum channels.
 Publication:

arXiv eprints
 Pub Date:
 November 2000
 arXiv:
 arXiv:quantph/0011036
 Bibcode:
 2000quant.ph.11036N
 Keywords:

 Quantum Physics
 EPrint:
 259 pages, reformatted version of Dissertation submitted for the Doctor of Philosophy in Physics at the University of New Mexico, August 1998