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.
- Publication:
-
Foundations of Physics
- Pub Date:
- October 2021
- DOI:
- 10.1007/s10701-021-00496-z
- Bibcode:
- 2021FoPh...51...93T
- Keywords:
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- Closed timelike curves;
- Classical statistical systems;
- Ergodicity