Quantum 2025 – scientific programme

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THU: Thursday Contributed Sessions

THU 13: Poster Session: Applications

THU 13.22: Poster

Thursday, September 11, 2025, 16:30–18:30, ZHG Foyer 1. OG

Towards Scalable Swap-Based Self-Testing under Multiple Bell Constraints in High-Dimensional Quantum Networks — •Lingxuan Tang — TU Darmstadt Darmstadt, Germany

This thesis proposes a modular swap-based self-testing method for quantum state fidelity authentication in high-dimensional quantum networks in device-independent scenarios where multiple Bell inequalities act simultaneously. The authors conceive a structure that decomposes the global fidelity problem into multiple local SDP subproblems, thereby reducing the computational complexity from exponential to linear. The method achieves independent optimisation of each subsystem by constructing local swap mappings and independent moment matrices, and introduces edge consistency constraints to ensure physical reasonableness in the presence of device sharing. Through numerical simulation comparisons, the paper verifies the performance of the framework under different numbers of subsystems and NPA tiers, showing a significant increase in computational efficiency (up to 35 times) while maintaining fidelity accuracy, which is particularly applicable to large-scale quantum networks. The work provides an effective tool for practical scalable device-independent authentication and lays the foundation for future adaptive hybrid optimisation methods.

Keywords: Swap-based self-testing; Semidefinite programming; Modular certification; Quantum networks; Device-independence