Circuit Complexity in Z2 EEFT
, Sourabh Kumar 5,6, Saptarshi Mandal 7,8, Nilesh Pandey 9, Abhishek Roy 10, Soumya Sarkar 11, Partha Sarker 12 and Saadat Salman Shariff 13,14Round 1
Reviewer 1 Report
The article considers computation of circuit complexity in the theory of interacting scalar field. The problem is interesting, and the text is well-written. I support publication after proofreading and minor corrections.
I suggest the following corrections.
1. Eq. (13). The authors write φ(x)^2 instead φ^2(x)
2. The authors write "Eigen values" instead "Eigenvalues"
3. I recommend to outline further research directions in conclusion section.
Author Response
Attached is the response to referee 1.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
The paper is exploring the circuit complexity in Z2 Even Effective Field Theories (Z2 EEFTs), concerning a massive free field theory with higher-order Wilsonian operators. By using the geometric method, authors calculate the circuit complexity connecting an approximately Gaussian unentangled state with an approximately Gaussian entangled state. The results seem correct and have merit to be published even though I don't check the calculations carefully. However, this paper is not clear on what has been done in the area of circuit complexity in the introduction, instead, they pay more attention to the holographic complexity which is not the main interest of this work. I would like to recommend it to be published if the introduction is improved.
Author Response
Attached is the response to referee report 2.
Author Response File: Author Response.pdf
