conservation of momentum: 2(num photons)h/lambda = (100 kg)*(c/3), so 5.9×10^36 photons needed to propel a 100 kg object to 1/3 speed of light. 1.5×10^18 joules of energy, which is 11% of the energy output of the US in 2001 (according to wolfram alpha). That's a 5.8 Tera Watt laser running for 3 days straight.
I haven't even gotten into dispersion of a laser beam.
The ludicrousness of this proposal is left as an exercise to the reader.
Edit: here's their proposal with physics. Just to be clear, I don't doubt the theoretical possibility, I doubt the economic and experimental reality. http://www.deepspace.ucsb.edu/wp-content/uploads/2015/04/A-R...