Timeline for Reduced Density Matrix Equation of Motion to describe an Ellipse
Current License: CC BY-SA 4.0
9 events
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| Aug 10, 2020 at 20:51 | comment | added | glS♦ | so if I understand, you fix an initial state $|\psi_{AB}\rangle$ and look for the unitaries $U(t)$ which give a state which reduced on $A$ traces the trajectory you want. That's certainly possible, but this means that each $U(t)$ maps the same initial state $|\psi_{AB}\rangle$ to the target one, so this isn't really a time evolution, as you are just sending the initial state in different output ones | |
| Aug 7, 2020 at 13:25 | comment | added | draks ... | but still it looks like that the ellipse is drawn in the mixed/local&non-local $k-l$ plane, s. eq. 15. So my ellipse depends somehow on this initial state. Hmm, let's try... | |
| Aug 7, 2020 at 12:32 | comment | added | draks ... | it is equivalent, as pointed out here: quantumcomputing.stackexchange.com/a/13209/5280 | |
| Aug 7, 2020 at 11:48 | comment | added | GaussStrife | Good point. Could the unitary applied in the paper to trace the ellipse on the surface simply not be extended to both systems via taking the tensor of the individual unitary, so that it works on the individual subsystems? From Fig.1 in that paper, the wording suggests that the ellipses they achieve on both the pure and mixed state case is what is generated from a unitary on the overall 2 qubit system, and then once the trace is taken, the ellipses is on both of their bloch spheres. | |
| Aug 7, 2020 at 9:45 | comment | added | draks ... | ... it looks to me, that the paper does not adress the fact that I trace out the system B. What do you think? | |
| Aug 7, 2020 at 9:39 | history | edited | draks ... | CC BY-SA 4.0 |
added 56 characters in body
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| Aug 6, 2020 at 16:30 | comment | added | draks ... | Thanks, I'll have a closer look... | |
| Aug 6, 2020 at 16:19 | comment | added | GaussStrife | Does this paper on elliptical orbits in the bloch sphere help in anyway? | |
| Aug 6, 2020 at 15:10 | history | asked | draks ... | CC BY-SA 4.0 |