修改-Dear-editorn-nWe-have-modified-our-manuscript-to-meet-the-APS-standard-as-requested-Specifically-we-modified-the-following-aspectsn-We-have-modified-our-title-to-State-independent-nonadiabatic-geometric-quantum-gates-and-nupdate-the-main-text-to-r

Dear Editor,

I am writing to inform you that we have made the necessary modifications to our manuscript to meet the APS standard, as per your request. The following aspects have been addressed:

1. We have revised the title of our manuscript to "State-independent Nonadiabatic Geometric Quantum Gates", and updated the main text accordingly.

2. We have removed the term "new" from our manuscript.

3. We have made appropriate changes to the reference section.

We believe that these refinements have significantly improved the quality of our manuscript and hope that it is now ready for the next stage of evaluation.

Thank you for your time and consideration.

Sincerely,

[Your Name]