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### Semi-definite program for smooth min-entropy

You do not need a double objective function to solve this. Given $\rho_{AB}$ let $\rho_{ABC}$ be any purification of $\rho_{AB}$. Then we can write the smooth min-entropy as the following SDP \begin{...
• 4,192
Accepted

### Semi-definite program for conditional smooth max-entropy

Yes, you can formulate the smooth max-entropy as an SDP. The author of the book you linked notes this when they explain how to derive the SDP for the smooth min-entropy that you reference on page 91. ...
• 4,192
### $3 \rightarrow 1$ QRAC encoding for XOR functions
I found a way to do it for the $2\to1$ QRAC. I simply guessed that we could leave the measurement bases as they are, $Z$ for the first bit, and $X$ for the second bit, and added $Y$ as the basis with ...