Timeline for On the probability of agreeing with different density matrices?
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Jul 13, 2023 at 16:12 | comment | added | More Anonymous | Yes the time evolution of soley that quantity is not self contained :/ | |
Jul 13, 2023 at 12:57 | comment | added | glS♦ | but as far as i can tell you're only taking the trace because in this case it's equal to the expression you got for the "agreement". That won't be true in general, so then what's the rationale behind considering the trace? | |
Jul 13, 2023 at 8:18 | comment | added | More Anonymous | Since I'm taking trace it should be independent of the basis? Maybe a measure of agreement of outcome + how quantum the system is behaving? (Since it vanishes when the off-diagonal of either density Matrix is 0) | |
Jul 13, 2023 at 7:44 | comment | added | glS♦ | it's easy to define agreement in this case because both states are classical: diagonal in the same bases. For more general pairs of states, this kind of "agreement" will depend on the choice of measurements performed on both sides. And generalising further (because really, "same outcome" when measurements are performed on different sides just means correlated outcomes), you're then essentially asking about the correlations between the measurement outcomes, which is certainly a well-studied type of quantity (look up eg accessible mutual information) | |
Jul 13, 2023 at 5:32 | history | became hot network question | |||
Jul 12, 2023 at 23:54 | answer | added | Quantum Mechanic | timeline score: 2 | |
Jul 12, 2023 at 21:47 | history | edited | More Anonymous | CC BY-SA 4.0 |
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Jul 12, 2023 at 21:41 | history | edited | More Anonymous | CC BY-SA 4.0 |
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Jul 12, 2023 at 21:30 | history | asked | More Anonymous | CC BY-SA 4.0 |