| CPC G06N 10/20 (2022.01) [G06N 10/40 (2022.01)] | 20 Claims | 

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               1. A computing system comprising: 
            a quantum computing device including: 
                a Majorana island at which a plurality of Majorana zero modes (MZMs) are instantiated; 
                  a quantum dot (QD) configured to be electrically connectable to the Majorana island via an MZM of the plurality of MZMs; 
                  an electrical ground; and 
                  a capacitance sensor; and 
                a controller configured to: 
              in each of a plurality of sampling iterations, control the quantum computing device to: 
                  electrically couple the Majorana island to the electrical ground while a first plunger gate located proximate to the Majorana island is set to an idle voltage; 
                    disconnect the Majorana island from the electrical ground; 
                    electrically couple the Majorana island to the QD; 
                    via the capacitance sensor, scan over a plurality of values of a first plunger gate voltage applied to the first plunger gate and a second plunger gate voltage applied to a second plunger gate located proximate to the QD; and 
                    output, to the controller, respective quantum capacitance measurements obtained at the plurality of values of the first plunger gate voltage and the second plunger gate voltage; 
                  receive the quantum capacitance measurements; 
                  based at least in part on the quantum capacitance measurements, determine a measured distribution of a respective plurality of resonance regions associated with the sampling iterations; 
                  based at least in part on the measured distribution, identify a minimum-energy resonance region of the plurality of resonance regions that corresponds to a minimum energy value of the Majorana island; and 
                  output the minimum-energy resonance region identification. 
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