Reply to comment on "Information Flow of quantum states interacting with closed timelike curves"

TL;DR

This paper clarifies that their quantum information model with closed timelike curves adheres to standard quantum mechanics rules, addressing previous ambiguities and distinguishing between different ensemble preparation methods.

Contribution

It defends the original model's consistency with quantum mechanics and clarifies the distinction between non-local and local ensemble preparations.

Findings

Equivalent circuit obeys standard quantum rules

No ambiguity in initial state selection

Clarifies difference between measurement-induced and local ensemble preparations

Abstract

We respond to the comment by Klobus, et al by emphasizing that the equivalent circuit, once constructed, obeys the standard rules of quantum mechanics - hence there is no ambiguity in how to choose initial states in our model. We discuss the distinction between correlated ensembles produced non-locally via measurements on entangled states and those produced via local preparation.