Here's just a quick calculation:
Sunlight produces approximately 1200 Watts per square meter at the earth's surface @ noon ( minus any clouds or trees in the way ). The power drops off with the Cosine of the sun's angle for solar panels that dont track, but if you track you can stay close to that # except when the sun is near the horizon.
Lets say you made a big reflector that that was 1 sq meter ( 10 sq feet ) and the collector is a dish. This means the dish needs to be ~40" in diameter and a parabolic shape.
The reflector would focus the light to another reflector that shines it back down the boresight of the primary mirror through a hole ( this is essentially a Cassegrain telescope ).
Now you will have ~1000 watts of light shining on a few square inch patch of collecting area. put your few thousand bare fibers in this area, and maybe you can get 500 watts out the other end assuming minimum bend radius and reasonable length ( 50 feet ).
This is all feasible, and I even contemplated it, but one problem that no-one pointed out above is that you would need to make the dish sturdier than heck to withstand wind, rain, and filling with snow.
The other points brought up above are all surmountable: tracking with motors, use glass instead of plastic to keep the fibers from melting, getting quality fibers ( unclad ).
I think just the primary reflector strong enough to last a year in colorado weather would cost $1000.
Stu