Timeline for Does the relative entropy variance $V(\rho_{AB}\|\rho_A\otimes\sigma_B)$ satisfy an ordering for different $\sigma_B$?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 2, 2021 at 5:19 | comment | added | user1936752 | Thank you - I've asked as another question with your points in mind | |
| Apr 1, 2021 at 14:16 | comment | added | Rammus | I don't know, I've never had to deal much with the relative entropy variance. Maybe it's worth posting as a separate question. I doubt it's true though. Actually, can't you just make the relative entropies arbitrarily different? I'm imagining choosing a $\sigma_B$ such that $D(\rho\|\rho_A \otimes \sigma_B) = \infty$. | |
| Apr 1, 2021 at 13:56 | vote | accept | user1936752 | ||
| Apr 1, 2021 at 13:45 | comment | added | user1936752 | Thank you. If $\rho_{AB}$ is $d-$dimensional, can $V(\rho_{AB}\|\rho_A\otimes\sigma_B)$ and $V(\rho_{AB}\|\rho_A\otimes\rho_B)$ be arbitrarily far apart or is there a dimension factor that comes into play? In your example, you have a factor of 2 which seems neat so is that somehow optimal? | |
| Apr 1, 2021 at 11:51 | history | answered | Rammus | CC BY-SA 4.0 |