QubitLogic
arXiv

Interferometric Signatures of Zero Modes in Fractional Quantum Hall-Superconductor Heterostructures

Fractional quantum Hall-superconductor (FQH-SC) heterostructures are predicted to host defect-bound parafermion zero modes (PZMs). We propose two related configurations to probe their fusion structure.

Weak zero mode tunneling produces fusion-channel-dependent interference.

Why this matters

Understanding FQH-SC heterostructures and their defect-bound parafermion zero modes can advance quantum computing by unveiling new topological states of matter. This research helps identify non-Abelian quasiparticles, crucial for developing fault-tolerant quantum computers.

What they actually achieved

The authors propose configurations to probe the fusion structure of parafermion zero modes in fractional quantum Hall-superconductor heterostructures. They suggest a Josephson junction setup and a two-QPC Fabry-Pérot interferometer as complementary probes.

What they did not achieve

The research does not achieve experimental validation of the proposed setups and their effects. There is no confirmation that the observed effects exist outside of theoretical or simulated models.

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