Quantum Field Theory Representation in Quantum Computation

Round 1

Reviewer 1 Report

In our opinion, it is necessary to consider in more detail the interaction between the system and the physical vacuum , creating an entanglement between the system and the environment .  This can be useful for specialists who have not studied quantum field theory in full.

The article can be published in its present form.

(Please see the attachment)

Comments for author File: Comments.docx

Author Response

Dear Reviewer 1,

Thank you very much for your thoughtful commentaries.

The interaction between the systems and the physical vacuum is a topic of great interest to me, and in the future, I will increase my attention to it.

The new Appendix describes the relation between the vacuum energy density and Eq. 3.

Best regards

Reviewer 2 Report

In this article the authors has studied "Quantum Field Theory representation in quantum computation". My detailed comments regarding the publicstion of this paper are appended below point-wise:

1. This article is written in a very well fashioned way. The instroduction, subject material and conclusion of the work is very clearly presented.
2. Reference list seems to me is complete.
3. Computations and study perfomed in the paper is physically correct.
4. The subject material of the study of this paper is very interesting and very clearly presented the idea/concept in this paper.

In view of the above mentioned facts, I strongly recommend publication of this paper in its present form.

Author Response

Dear Reviewer 2,

Thank you very much for your generous and inspiring commentaries.

Please read the new version of the article and let me know if you find anything that needs correcting.

Best regards

Reviewer 3 Report

In this paper the author discuss the utility of QFT in Quantum Computation with respect to Quantum Mechanics. I have to say that this topic is now a very hot and well consolidate argument. 

I am a bit confused about the notation used by the authors before Eq. (1), the quantities indicated with \bar. Why they have 4 scalar potential, 4 vector potential , as well as 4 energies and momenta?  In the Dirac equation one has E= \pm \sqrt{p^2 + m^2}. Maybe here they can enlarge the discussion.

Also, Eq. (3) is unclear: the expression of Path Integral (PI) formulation of QFT is quite different (something like \int D \psi \bar \psi D A:\mu e^{i S} if one include the interaction).  The author might indicate some detail.

Finally, it seems that the original result is related to the discussion in Sect 4.  The authors should add new material and results.  

Author Response

Dear Reviewer 3,

I completely agree with you about the importance of this topic.

In what regards your requests for clarification:

• About the notation I used before Eq. 1, I have now included a phrase in Page 3 (lines 112-118) which I hope clarifies the issue. The phrase is “In the notation … QM operators”.
• In what concerns Eq. 3, I have altered the paragraph before Eq. 3, the shape of Eq. 3, plus I included an appendix where Eq. 3 is obtained starting from the Feynman path approach to Quantum Field Theory (QFT).
• The Results and the Discussion are related as in the Discussion it is obtained how QFT will be needed if Moore’s law is to be maintained in the future.

Hopefully, my alterations provide an answer to all the issues you thought were unclear.

Best regards,

Round 2

Reviewer 3 Report

The authors have improved the new version, and the general idea appears more clear with respect to the previous version.

I think the paper can be published