Without more info it's difficult to help you. There are several provisions laid down under the facilitated naturalisation process and if your child meets the criteria then they would be able to apply for citizenship at some point . "4. Article 30 Naturalization Act
A stateless, minor child who has lived in Switzerland for at least five years, one year of which being immediately prior to application. 5. Article 31a Naturalization Act
A foreign child, not yet 22 years old, who was not included in the naturalization of one of his/her parents and has lived in Switzerland for at least five years, one year of which being immediately prior to application. The child must be a minor at the time of application for naturalization by the parent. There must be close links with Switzerland. 6. Article 31b Naturalization Act
A foreign child who was not able to acquire Swiss nationality because, before his/her birth, one of his/her parents had lost Swiss nationality. There must be close links with Switzerland. 7. Article 58a Naturalization Act
A foreign child, from the marriage of a Swiss woman to a foreign national, who has close links with Switzerland. 8. Article 58c Naturalization Act
The illegitimately born child of a Swiss father. In the event of close links with Switzerland, an application may also be filed on completion of the child’s 22nd year." https://www.sem.admin.ch/sem/en/home...uergerung.html
Otherwise it will be regular naturalisation which currently requires 12 years of residency, Swiss language proficiency, knowledge of Swiss history, politics, etc.
Note that the naturalisation law is due to change sometime in 2017 and in addition to the above will require applicants to hold a C permit. EU nationals can get these after 5 years, non-EU nationals after 10 years unless they apply early through the VINTA procedure. Early C Permit for a Non-EU National through VINTA
The new law will reduce the number of years from 12 to 10 though and slightly change the qualifiying residency years for doubling up. http://www.swissinfo.ch/eng/naturali...p-law/38821516
The fact that your child was born here doesn't give them a shortcut to naturalisation. Unless they come under one of the facilitated qualifications they have to wait just as long as everyone else.