Given, the best PC that Entropy and Time will ever get is Butterfly Effect - And it's gonna be tough getting THAT to work, specially if you're "quanta strained." Although, you could try tucking it on a Deja-Vu and using SoR on it to get BE to work - It's a 3 card combo, but it's still doable. More SoR's would probably feel better as to this.
You seem like you have a lot of excess time quanta, so you could try taking out a few Entropy Pendulums for Pillars instead.
This also seems like it really lacks in the attacking power, with only 4 anubis and 1 purple nymph - The stalling part is great, with the antimatters (And there's a good synergy with being able to quint your opponent's creatures after they are antimattered), but since Arena decks can have a higher HP, I believe that you really need more attacking power.
So, in resume -
The best PC you'll ever find would be Butterfly Effect, but you need a creature to use that on. You could try a Deja-Vu, but that's a 2 card combo that I wouldn't really recommend, although it could be fun to try out.
You need more attack power, since anubis is not gonna get through a whole game by itself.
I don't see where this "quanta strain" comes from, since it looks like it has a lot of quanta - I assume you're talking quanta strained for entropy, in which case, as I said, swap some entropy pendulums for pillars (around 5 should be more than good enough, I believe.)
Personally, though, to farm Bronze, you'd either have to heavy mod this or get another deck. I'd stick with this simply because it's funnier to use, but it's entirely up to you.