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We examine Ralph's equivalent circuit model of D-CTCs, which was proposed toderive Deutsch's maximum entropy rule of D-CTCs. By constructingcounterexamples we show that the equivalent circuit model does not alwaysreproduce the unique fixed state with the maximal von Neumann entropy. Wespeculate that the equivalent circuit model remains the correct description ofD-CTCs and it can reproduce a revised maximum entropy rule of D-CTCs. We alsosuggest that the revised maximum entropy rule may eliminate the discontinuousquantum evolutions of D-CTCs.

Ralph's equivalent circuit model, revised Deutsch's maximum entropy rule and discontinuous quantum evolutions in D-CTCs