The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems
Abstract
The D-CTC condition, introduced by David Deutsch as a condition to be fulfilled by analogues for processes of quantum systems in the presence of closed timelike curves, is investigated for classical statistical (non-quantum) bi-partite systems. It is shown that the D-CTC condition can generically be fulfilled in classical statistical systems, under very general, model-independent conditions. The central property used is the convexity and completeness of the state space that allows it to generalize Deutsch's original proof for q-bit systems to more general classes of statistically described systems. The results demonstrate that the D-CTC condition, or the conditions under which it can be fulfilled, is not characteristic of, or dependent on, the quantum nature of a bi-partite system.
Cite
@article{arxiv.1912.02301,
title = {The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems},
author = {Jürgen Tolksdorf and Rainer Verch},
journal= {arXiv preprint arXiv:1912.02301},
year = {2021}
}
Comments
21 pages, 2 figures. V2: Typos corrected, references added, minor additions. This version matches the journal publication up to formatting