Timeline for Is a partial trace cyclic?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 2, 2019 at 17:02 | vote | accept | João Bravo | ||
| Jul 2, 2019 at 17:02 | comment | added | João Bravo | Yeah makes sense. Thank you | |
| Jul 2, 2019 at 14:42 | comment | added | doetoe | The only thing that you can do (if I didn't make a mistake) is $$\operatorname{tr}_B[(A_1\otimes B_1B_2)\rho_{AB}] = \operatorname{tr}_B[(A_1\otimes B_2)\rho_{AB}(I\otimes B_1)].$$ This can be seen by writing $\rho_{AB}$ as a sum of pure tensors and using the linearity of the partial trace. | |
| Jul 2, 2019 at 11:48 | comment | added | João Bravo | One question though. In this trace $$tr_B [(A_1 \otimes B_1 B_2) \ \rho_{AB}]$$ if $\rho_{AB}$ is not pure (aka cannot be written as a tensor product $\rho_{AB} =\rho_{A} \otimes \rho_{B}$), can we cycle anything? | |
| Jul 2, 2019 at 11:45 | comment | added | João Bravo | Ah of course! Very clear answer, thank you :) | |
| Jul 1, 2019 at 23:22 | history | answered | doetoe | CC BY-SA 4.0 |