Information Flow of quantum states interacting with closed timelike curves

TL;DR

This paper clarifies the information flow in quantum systems interacting with closed timelike curves, resolving ambiguities in existing models and demonstrating their potential as powerful resources for quantum information processing.

Contribution

It introduces a method to derive equivalent circuits with unique solutions, enabling objective analysis of quantum closed timelike curve interactions.

Findings

Closed timelike curves could be a powerful resource for quantum information processing

The proposed method resolves ambiguities in existing models

Equivalent circuits with unique solutions are derived

Abstract

Recently, the quantum information processing power of closed timelike curves have 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.