Creating a random hermitian matrix in C++

Is this the right way to create a Hermitian matrix in C++?

/**
 *  Generate a hermitian matrix with random values.
 *  Source: http://ift.tt/1A9dCaT
 *
 * @param n         : input, size of the matrix
 * @param out_mat   : output, a random hermitian matrix of size n*n
 */
void create_hermitian(uint n, float2* out_mat) {
    std::default_random_engine generator((unsigned int)time(0));
    generator.seed(std::random_device{}());
    uniform_real_distribution<float> distribution(-1.0f,1.0f);
    for (uint i = 0; i < n; i++) {
        out_mat[i*n+i].x = distribution(generator);
        out_mat[i*n+i].y = 0.0f;
    }
    for (uint i = 0; i < n-1; i++) {
        for (uint j = i+1; j < n; j++) {
            out_mat[i*n+j].x = out_mat[j*n+i].x = distribution(generator);
            out_mat[i*n+j].y = distribution(generator);
            out_mat[j*n+i].y = -out_mat[i*n+j].y;
        }
    }
}

It should work, but not sure if this is efficient.