The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems
arXiv:1912.02301 · doi:10.1007/s10701-021-00496-z
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.
21 pages, 2 figures. V2: Typos corrected, references added, minor additions. This version matches the journal publication up to formatting
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