Cannot use template function with lambda as parameter

I have got template function with function pointer as a template parameter. When I use global function pointer as template parameters everything works fine. When I try to define function locally using lambda(without capturing) problems arise. Here is minimal code:

#include <vector>
#include <iostream>

template<double (*f)(double, double)>
std::vector<double> calculate(std::vector<double>& x, std::vector<double>& y){
    std::vector<double> z(x.size());
    std::transform(x.begin(),x.end(),y.begin(),z.begin(),f);
    return z;
}

double calc(double n, double k){
    return n*n+k*k;
}

int main(int argc, char *argv[])
{
    double (*fun)(double,double) = [](double n, double k){return n*n+k*k;};
    std::vector<double> x(5,3);
    std::vector<double> y(5,4);
    std::vector<double> z1 = calculate<&calc>(x,y);//it works fine
    std::vector<double> z2 = calculate<fun>(x,y);//this line gives a bunch of errors

    for(int i=0;i<z1.size();i++){
        std::cout<<z1[i]<<" ";
    }
    for(int i=0;i<z2.size();i++){
        std::cout<<z2[i]<<" ";
    }
    return 0;
}

Here is errors:

1. the value of 'fun' is not usable in a constant expression
2. no matching function for call to 'calculate(std::vector<double>&, std::vector<double>&)
3. 'fun' is not a valid template argument for type 'double (*)(double, double)'
4. it must be the address of a function with external linkage