Tried my best to make it compact and easy to understand, but clearly I failed.
Bottom 2 switches are inputs A and B. Right most switch is the Carry In.
Top capacitor represents the Sum output. Left capacitor represents the Carry Out.
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Simple Diagram for how it works:
Excellent first post and nicely done! What Spintronics lacks in ability for compactness and readability, it more than makes up for in style! Only qualm I have is that it looks like you’ve gone for extra credit and given us a full adder rather than a half 
Look forward to seeing when you have an 8-bit adder put together
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The title is meant to say “Full Adder”, not “Half Adder”.
Whoops
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