I believe you want us to compare two incomparable things.
Quick Search is a string search algorithm, meant to find a string in a long text document.
Lucene is a search library, meant to index and search a collection of documents, ranking the results as it goes.
A more reasonable comparison is of Lucene versus other search libraries. Here's one such comparison.
If you provide some background about your intended application, the SO community may be able to recommend, first an approach, and then a specific software tool inside that approach.