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arXiv:1112.0820 · Physical Review A

Reply to “Comment on ‘Information flow of quantum states interacting with closed timelike curves’”

Timothy C. Ralph, Casey R. Myers

Published Nov 23, 2011• 4 citations
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Abstract

We respond to the comment by K\l{}obus et al. [Phys. Rev. A 84, 056301 (2011)] 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 nonlocally via measurements on entangled states and those produced via local preparation.

DOI
10.1103/physreva.84.056302

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Comment on “Information flow of quantum states interacting with closed timelike curves”

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We respond to the comment by K\l{}obus et al. [Phys. Rev. A 84, 056301 (2011)] 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 nonlocally via measurements on entangled states and those produced via local preparation.
Recently, the quantum information processing power of closed timelike curves has been discussed. Because the most widely accepted model for quantum closed timelike curve interactions contains ambiguities, different authors have been able to reach radically different conclusions as to the power of such interactions. By tracing the information flow through such systems we are able to derive equivalent circuits with unique solutions, thus allowing an objective decision between the alternatives to be made. We conclude that closed timelike curves, if they exist and are well described by these simple models, would be a powerful resource for quantum information processing.