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Here's how Google described Quick View: "Annoyed by pop ups requesting you to download a specific software or plugin to visualize a document? Google Docs allows you to view any document directly from the search results without requiring any plugins. Just search for a document, for example [white paper on cloud computing] and then click on 'Quick View' to see the document in Google Docs."
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If you don't want to download the file, you can click the green arrow and select "cached", but this shows a text-only version of the document that doesn't preserve formatting.
Please note that the feature has nothing to do with the "quick view" for mobile phones.