Can gingivitis be cured with anti-biotics? I was curious about this, knowing that gingivitis is an infection, would it be possible to cure gingivitis with anti-biotics?

Unlikely. Once the cause of the gingivitis is determined, the use of antibiotics can evaluated. The most common cause of gingivitis is caused by plaque and tarter. If this is the case, the indicated treatment would be to start with a cleaning of all the teeth. If the gingival disease is of specific bacterial origin and not plaque induced, then the dentist may be able to treat with an antibiotic.
No cure. Antibiotics do not cure gingivitis. Local factors must be controlled. That is, brush and floss routinely. Sometimes, antibiotics are prescribed for gum problems to help get them under control, but the only cure is good oral hygiene.
Gingivitis +. Antibiotics are routinely used in the treatment of periodontal conditions, most systemic antibiotics are not as effective and may require long term usage, locally administered antibiotics, like arestin, are much more effective but more costly and managing many sites with it may get costly, but used in conjunction with deep cleaning (scaling) and more effective homecare it is very effective.
It helps but... Gingivitis and periodontitis is due to bacterial tartar, under your gums. Think of it just like a dirty sliver in your hand. Your hand would get red and maybe swollen, and perhaps antibiotics would help with that symptom, but the cause of it, the sliver, is still there. You may need a deep cleaning to get the gums better.
Gingivitis . Gingivitis is a characterized as a gum disease that causes redness, swelling, and irritation of the gums. The main cause of this problem is plaque. Now plaque is composed of bacteria, which is why i ssume you are calling it an infection. However, antibiotics will not solve this problem because the plaque will be unaffected by the action of the antibiotic because it cannot be penetrated due to its hard consistency. The plaques need to be physically removed by your dentist through a proper cleaning technique. In addition, a complete evaluation needs to be done by your dentist in order to identify any additional problems, and repair any old or cracked fillings. Your part will be to brush, floss, and if possible use a water pick daily, so as to avoid further build up of plaque. Your dentist may also recommend an antiseptic mouth wash if warranted. Good luck.