The D-CTC Condition is Generically Fulfilled in Classical (Non-quantum) Statistical Systems

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...

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Bibliographic Details
Published in:Foundations of physics 2021-10, Vol.51 (5), Article 93
Main Authors: Tolksdorf, Jürgen, Verch, Rainer
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Classical Mechanics
Convexity
History and Philosophical Foundations of Physics
Philosophy of Science
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Statistical Physics and Dynamical Systems
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Summary: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.
ISSN:0015-9018
1572-9516
DOI:10.1007/s10701-021-00496-z