Would this positron reactor work?

A few months ago I was looking for a way to get to Gliese 581 within 100 years. So I've been reading a lot from Wikipedia and other sites about different propulsion devices. Then I found an wonderful article from NASA about the antimatter propulsion and more precisely the positron reactor.

So, my question is, assuming I could produce and store enough positrons, could I use a reactor like this to travel to a stellar system to another? I wrote down it would make my spaceship go to a speed of "very" approximately 63,000,000 km/s using more or less 100 kg of antimatter, is it true?

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Would this positron reactor work?

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