3.2 Open quantum System video (1) quantum computer is in an environment or “heat bath” where temperature can change (2) off-diagonal elements of density matrix gradually reduce to zero during decoherence (3) for finite temperature, energy peaks at ground state, while infinite temperature the energy distribution is uniform (flat). (4) link to Completely Positive Trace-Preserving (CPTP) map
3.4 The Boltzmann-diagonalized thermal density matrix: I used the Boltzmann pmf (probability mass function) at T=1 to form the diagonal, but failed. Have no idea what the correct answer is. Also, I don’t know how the Boltzmann bra and ket can be formed to get density matrix, as a formal solution.