Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 33 / 3 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 33 / 5 / b / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 33 / 5 / b / ii / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 34 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 34 / 2 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 60 / 1 / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 60 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 60 / 5 / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 50 / 1 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 50 / 3 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2009 / iii / Paper 50 / 3 / d / Solution

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

Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 48 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 48 / 2 / b / Solution

{c}
{title2=$S(\rho)$}
{wiki}

The Von Neumann entropy of a density operator is
$$
S(\rho)=-\operatorname{Tr}(\rho\log\rho).
$$
It vanishes for a pure state and measures mixedness and quantum entanglement in reduced states.


Von Neumann entropy

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