experimental implementation of the diagnosis of multiple faults problem described in Sec. \[subsec:DMF\], we embedded EPS networks similar to those described in Fig. \[fig:diagnosis\]. In Table \[table:embedding\_HyDE\], we present the scaling of the number of resources, $n_p$ (column 4), needed in the hardware for a few select problem instances of different tree size and various numbers of faults.

   $n_{\text{CB}}$   $n_{\text{sensors}}$   $n_{l}$   $n_p$   $n_{\text{faults}}$                          Problem instance, $\{l_i\}$                           HyDE time (s)
  ----------------- ---------------------- --------- ------- --------------------- ---------------------------------------------------------------------------- ---------------
          5                   4               12       17              2                                            $\{0001\}$                                  
         21                   16              42       68              3                                    $\{0101,0111,1111,1111\}$                                0.164
         21                   16              45       73              4                                    $\{0101,0101,1111,1111\}$                                3.129
         21                   16              46       78              5                                    $\{0101,0101,0111,1111\}$                                516.0
         21                   16              46       81              6                                    $\{0101,0101,0101,1111\}$                            out of memory
         21                   16              48       90              7                                    $\{0101,0101,0101,0111\}$                            out of memory
         21                   16              49       96              8                                    $\{0101,0101,0101,0101\}$                            out of memory
         85                   64              165      340             6            $\{01 1 1, 1 1 1 1, 0 1 1 1, 1 1 1 1, 0 1 1 1, 1 1 1 1, 1 0 1 1, 1 1 1 1,$  
                                                                                    $0 1 1 1, 1 1 1 1, 1 1 1 1, 1 1 1 1, 0 1 1 1, 1 1 1 1, 1 1 1 1, 1 1 1 1\}$  

In the 