Timeline for How to express a probability distribution $P(x,y,z)= \sum_\lambda P(x|y,\lambda)P(y|\lambda,z)P(z)P(\lambda)$ in terms of a trace of a density matrix?
Current License: CC BY-SA 4.0
6 events
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| Feb 17, 2021 at 18:18 | comment | added | Adam Zalcman | Maybe, but I can't say for sure without seeing the details. The matter of impossibility of expressing one type of formula as another type of formula is a very different type of problem than the matter of finding a way to express one formula as another. Please submit another question for this. It sounds interesting. | |
| Feb 17, 2021 at 11:09 | comment | added | Shashaank | The context requires that the probability distribution under suitable assumption reduces to tho the expression with the trace and that this is possible for all such probability distribution but it is not possible to reduce the expression for trace and show it is equal to the probability distribution. Do you have an idea how to do that | |
| Feb 17, 2021 at 7:48 | comment | added | Adam Zalcman | I'm not sure I understand... The above calculation shows that the two are equal. Equality is symmetric. | |
| Feb 17, 2021 at 7:43 | comment | added | Shashaank | Can I show the opposite, that is the probability distribution can be written as a trace ( not the other way round). The context of the question requires to do just that. | |
| Feb 16, 2021 at 20:44 | history | edited | Adam Zalcman | CC BY-SA 4.0 |
added 12 characters in body
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| Feb 16, 2021 at 20:35 | history | answered | Adam Zalcman | CC BY-SA 4.0 |