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Spread quantum information in one-shot quantum state merging
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We prove the difference between the minimal entanglement costs in quantum state merging under one-way and two-way communication in a one-shot scenario, whereas they have been known to coincide asymptotically. While the minimal entanglement cost in state merging under one-way communication is conventionally interpreted to characterize partial quantum information conditioned by quantum side information, we introduce a notion of spread quantum information evaluated by the corresponding cost under two-way communication. Spread quantum information quantitatively characterizes how nonlocally one-shot quantum information is spread, and it cannot be interpreted as partial quantum information.
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Quantum Information Decoupling Beyond Finite Dimensions
Under finite entropy of the manipulated system, infinite-dimensional IID decoupling and quantum state merging achieve the same optimal rates as in finite dimensions (H(A) and 1/2 I(A:R)).
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