Pareto-optimality of Majoranas in hybrid platforms

Kavli Affiliate: Anton R. Akhmerov

| First 5 Authors: Juan Daniel Torres Luna, Juan Daniel Torres Luna, , ,

| Summary:

To observe Majorana bound states, and especially to use them as a qubit,
requires careful optimization of competing quality metrics. We systematically
compare Majorana quality in proximitized semiconductor nanowires and quantum
dot chains. Using multi-objective optimization, we analyze the fundamental
trade-offs between topological gap and localization length, two key metrics
that determine MBS coherence and operational fidelity. We demonstrate that
these quantities cannot be simultaneously optimized in realistic models,
creating Pareto frontiers that define the achievable parameter space. Our
results show that QD chains achieve both comparable quality as nanowires and a
regime with a much shorter localization length, making them particularly
promising for near-term quantum computing applications where device length and
disorder are limiting factors.

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