Develops device-independent self-testing protocol for multi-qubit GHZ states using Bell inequality violations, achieving explicit O(√ε) noise-robust bounds without assumptions on measurement dimensions or devices.
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Novel methods for certifying quantum properties via trace powers: detects entangled states, non-Hermitian operators, and non-positive matrices. Algorithms achieve 99.8% success with minimal computational cost, implementable on NISQ devices.
