Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 60 / 1 / f / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 60 / 2 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 60 / 2 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 60 / 2 / d / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 60 / 2 / e / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 57 / 3 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 58 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 58 / 3 / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 60 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 61 / 3 / a / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 61 / 3 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 61 / 4 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 61 / 4 / e / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 50 / 2 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 50 / 5 / a / Solution

{wiki=Density_matrix}

A finite-dimensional density operator is Hermitian, positive semidefinite, and has trace one. In dimension $N$ it has $N^2-1$ real parameters. Schrödinger evolution is
$$
\rho_S(t)=U(t)\rho_HU(t)^\dagger
$$
when $\rho_H$ denotes the time-independent Heisenberg-picture state.


Density operator

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