Local PT symmetry violates the no-signaling principle
Quantum Physics
2014-04-25 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Bender et al. have developed PT-symmetric quantum theory as an extension of quantum theory to non-Hermitian Hamiltonians. We show that when this model has a local PT symmetry acting on composite systems it violates the non-signaling principle of relativity. Since the case of global PT symmetry is known to reduce to standard quantum mechanics, this shows that the PT-symmetric theory is either a trivial extension or likely false as a fundamental theory.
Cite
@article{arxiv.1312.3395,
title = {Local PT symmetry violates the no-signaling principle},
author = {Yi-Chan Lee and Min-Hsiu Hsieh and Steven T. Flammia and Ray-Kuang Lee},
journal= {arXiv preprint arXiv:1312.3395},
year = {2014}
}
Comments
3 pages, 1 figure