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This is a Quantitative Study study.

September 24, 2025Open Access

Unified quantification of entanglement and magic in information scrambling and their trade-off relationship

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A rigorous trade-off relationship exists between entanglement and magic scrambling in quantum systems.
This study introduces a new unified measure for quantifying information scrambling, enhancing our understanding.
The proposed measure can be derived analytically, providing valuable insights into the scrambling capacity of unitary transformations.
Grounded in quantum resource theory, this approach allows for a comprehensive analysis of scrambling phenomena.

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This analysis reveals a trade-off between entanglement and magic scrambling, indicating a unified approach to quantum resource theory.

Kaneyasu et al. (2025) studied this question.

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