Enjoyed this lecture. Comment 1. I wish the camera kept the white board visible instead of zooming in on the speaker; one frequently had to play the video back or forward to see what the speaker was talking about on the board. 2. I wish the speaker was able to cover the Master Equation (Linblad, etc.) and Spin Echos, etc that was included in the outline she showed earlier.
Again, I enjoyed this lecture, but there is a mistake, at 2:01:53 when she wrote down the density matrix in the example of spontaneous emission, the trace of rho' isn't coming out to be 1 (diagonal elements rho_00 and (1-p)rho_11). The correct diagonal elements, following Bill Coish's CSSQI12 lecture (th-cam.com/video/4auHhpn7BUc/w-d-xo.html) on Generalized Amplitude Damping, should be rho_00+p rho_11 and (1-p)rho_11.
The conclusion would be the same, that rho after repeated application of the Kraus operators (Superoperator induced by U_SE) would be all zero except rho_00.
Enjoyed this lecture. Comment 1. I wish the camera kept the white board visible instead of zooming in on the speaker; one frequently had to play the video back or forward to see what the speaker was talking about on the board. 2. I wish the speaker was able to cover the Master Equation (Linblad, etc.) and Spin Echos, etc that was included in the outline she showed earlier.
Her name is Paola (not surprisingly she spelled it right herself) not Paolo. At the very least the video descriptions ought to be corrected.
Again, I enjoyed this lecture, but there is a mistake, at 2:01:53 when she wrote down the density matrix in the example of spontaneous emission, the trace of rho' isn't coming out to be 1 (diagonal elements rho_00 and (1-p)rho_11). The correct diagonal elements, following Bill Coish's CSSQI12 lecture (th-cam.com/video/4auHhpn7BUc/w-d-xo.html) on Generalized Amplitude Damping, should be rho_00+p rho_11 and (1-p)rho_11.
Paola's example on Spontaneous emission is a special case of the Generalized Amplitude Damping, with one of the p's set to zero.
The conclusion would be the same, that rho after repeated application of the Kraus operators (Superoperator induced by U_SE) would be all zero except rho_00.
More precisely, the limit is rho_00^(n) -> rho_00+rho_11 = 1