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arXiv · 1912.02301

The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems

Jürgen Tolksdorf·Rainer Verch
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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.

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Jürgen Tolksdorf, Rainer Verch. 2019-12-04. The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems. https://doi.org/10.1007/s10701-021-00496-z

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