Hi,

Actually the trigger should be related to Opportunity Lines because you want to modify the Quote Lines whenever a new Opportunity line (add a new product to the Opportunity) is created. 

Code could looks like this. NOTE: I don't have Quotes enabled in my org so below code could not compile, but it should looks like this one.
 

trigger OpportunityLineTrigger on OpportunityLineItem (after insert)
{
    List<Id> productIds = new List<Id>();
    Map<Id, List<Id>> oppAndLines = new Map<Id, List<Id>>();
    
    //Look for Opportunities related to these lineas and products.
    for(OpportunityLineItem oppLine : trigger.new)
    {
        if(oppAndLines.keySet().contains(oppLine.OpportunityId))
        {
              productIds = oppAndLines.get(oppLine.OpportunityId);
        }
        else
        {
             productids = new List<Id>();
        }
        productIds.add(oppLine.Product2Id);
        oppAndLines.put(oppLine.OpportunityId, productIds);
    }
    
    //Look for Opportuntiy names related to those Ids that were used in the lines
    List<Id> oppIds = new List<Id>();
    Map<String, List<Id>> oppNameAndIds = new Map<String, List<Id>>(); // 2 opp can have same name
    List<Id> allOppIdsFromLines = oppAndLines.keySet();
    for(Opportunity opp : [Select Id, Name From Opportunity Where Id In :allOppIdsFromLines])
    {
         if(oppNameAndIds.keySet().contains(opp.Name))
         {
             oppIds = oppNameAndIds.get(opp.Name);
         }
         else
         {
             oppIds = new List<Id>();
         }
         oppIds.add(opp.Id);
         oppNameAndIds.put(opp.Name, oppIds);
    }

    //Look for Quotes that are related to Opportunities.
    List<String> oppNames = oppNameAndIds.keySet();
    for(Quote quote : [Select Id, OpportunityName From Quote Where OpportunityName In :oppNames])
    {
           //For each quote look for the opp
           List<Id> quoteOppIds = oppNameAndIds.get(quote.OpportunityName);

           //For each Opp look for products
           for(Id oppId : oppAndLines.keyse())
           {
                 List<Id> productIds = oppAndLines.get(oppId);
                  //Now you have product id and you can create Quote lines with this info

           }
    }
}

Hope this helps