"swiftly capture" is correct and usable in written English.
You can use it to emphasize quickness or speed, such as in the phrase "He swiftly captured the criminal before he could escape."
A ground patrol swiftly captured her.
But after swiftly capturing swaths of the country, pro-Ouattara forces have met fierce resistance in Abidjan in the past four days.
But the intensity and scale of the violence in Vancouver on Wednesday, swiftly captured by cellphone and camera users and disseminated through the Internet, dwarfed previous outbursts.
The campaign has swiftly captured the imaginations of women from London to Mumbai, Montreal to Paris, Texas to Buenos Aires, but it started, like so many wonderful things, in New York.
The drawing swiftly captures the artist's initial, on-site, schematic response to a scene of immense beauty in New Hampshire's White Mountains.
These two basic elements of representational space within the landscape format are swiftly captured with respect to the time-sensitive changes of natural light and shadow.
A three-minute video pitching the game was uploaded to the site in September 2011, and swiftly captured the internet's imagination.
Aboard the boat that won it all a mere decade ago, I thought we would crush the Canucks, but True North IV swiftly captured the lead.
The Imperial Japanese Army swiftly captured the capital Nanjing and conducted the Nanking Massacre.
