Unitaries have an exactly quantifiable purity-constrained imaginarity-generating power that depends on intrinsic unitary properties and concentrates near its maximum for typical Haar-random dynamics in high dimensions.
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Derives robust device-independent self-testing and two-bit certified randomness from the optimal quantum violation of the arbitrary-input chained Bell inequality via a dimension-independent sum-of-squares technique.
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Imaginarity-generating power of unitaries: A resource-theoretic approach
Unitaries have an exactly quantifiable purity-constrained imaginarity-generating power that depends on intrinsic unitary properties and concentrates near its maximum for typical Haar-random dynamics in high dimensions.
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Robust self-testing and certified randomness based on chained Bell inequality
Derives robust device-independent self-testing and two-bit certified randomness from the optimal quantum violation of the arbitrary-input chained Bell inequality via a dimension-independent sum-of-squares technique.