Review Reports

Round 1

Reviewer 1 Report

In this document I present a review of the manuscript number simmetry – 1754365 intlited “Prisoners’ Dilemma in a Spatially Separated System Based on Spin-Photon Interactions”. The authors present an interesting study in which they proposed a distributed quantum circuit to allow spatially separated prisoners to play the Prisoners’ Dilemma game. In addition, they analyzed the effect of imperfect realization of two-qubit gates on the game, and discussed the revival of the dilemma and the emergence of new Nash equilibria. The work brings out relevant content to applied quantum mechanics and quantum optics. In particular, the authors treat two importante current subjects such as quantum computing and gamification.  In this context,  a circuit was built, in which each player possesses a qubit and an ancillary qubit travels between players for realizing the game. Finally, the authors considered the non-ideal game due to imperfect realization of two-qubit gates, and analyzed the impact of imperfections on the game, in particular Nash equilibrium. The introduction is in a complete and satisfactory form. In addition, figures help the understanding of content. This paper is very interesting and it is well written. In my opinion it is an almost complete paper, because the authors developed very well the theory about the subjects studied and they also used powerful tools for analyzing the situations proposed. In addition, the work is a broad study and several results were presented. In my opinion the manuscript can be accepted in this current form.

Comments for author File: Comments.pdf

Author Response

We thank the reviewer very much for his/her valuable time in reviewing our manuscript. We thank him/her for finding our work interesting and recommending its publication.

   

Reviewer 2 Report

Please see the attached report.

Comments for author File: Comments.pdf

Author Response

please see the attached pdf file

Author Response File: Author Response.pdf

Reviewer 3 Report

The authors propose a distributed quantum circuit to allow spatially separated prisoners to play the
Prisoners' Dilemma game. Decomposing the circuit into controlled-Z and single-qubit gates only,
they design a corresponding spin-photon interaction-based physical setup within the reach of current
technology.

I recommend its publication as they reply to the following comments.

For the subject``spatially separated system based on
spin-photon interaction'', there have been many papers
published, for example `` Dynamics of entanglement in Jaynes–Cummings nodes with nonidentical qubit-field coupling strengths'' Entropy, 19, 331(2017), and I think that they do not cite enough related works.


Compared with the classical Prisoners' Dilemma Game,
the advantages that the quantum Prisoners' Dilemma Game are what? I think they should give some detail values when
compared with that of the classical Prisoners' Dilemma Game.

They do not give any real experimental parameters of NV
centers to prove the validity of their method, for example, what is the best
fidelity of different gates when using the real experimental parameters of NV
centers with current technology.

Moderate English changes required.

Author Response

please see the attached pdf file

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

The authors have revised the manuscript according to the comments from the three reviewers.

Reviewer 3 Report

I agree with its publication