Quantum Complementarity and Operator Structures
Quantum Physics
2019-02-07 v2 Operator Algebras
Abstract
We establish operator structure identities for quantum channels and their error-correcting and private codes, emphasizing the complementarity relationship between the two perspectives. Relevant structures include correctable and private operator algebras, and operator spaces such as multiplicative domains and nullspaces of quantum channels and their complementary maps. For the case of privatizing to quantum states, we also derive related dimension inequalities that may be viewed as operator algebra uncertainty relations.
Cite
@article{arxiv.1811.10425,
title = {Quantum Complementarity and Operator Structures},
author = {D. W. Kribs and J. Levick and M. I. Nelson and R. Pereira and M. Rahaman},
journal= {arXiv preprint arXiv:1811.10425},
year = {2019}
}
Comments
Some typos are fixed, updated journal reference