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(23) It can be shown that for 0 ≤x≤ 1, (1−x2) log 2≤ log 2− 1 2[(1 +x) log(1 +x) + (1−x) log(1−x)]≤ √ 1−x2 log 2

(22) 9 Hence, the entanglement entropy of the pair is S(p) =−trˆρp log ˆρp =− 2∑ i=1 λi logλi = log 2− 1 2[(1 +γ) log(1 +γ) + (1−γ) log(1−γ)]

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Modifications of the Page Curve from correlations within Hawking radiation

hep-th · 2019-08-26 · conditional · novelty 5.0

For a qubit model of Bell-pair Hawking emission, the per-step change in radiation entanglement entropy is bounded between (1-4*epsilon2^2-sqrt(1-gamma^2))*log2 and sqrt(1-4*epsilon2^2)*log2, yielding an early Page-curve turnover that is incompatible with unitary evaporation.

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  • Modifications of the Page Curve from correlations within Hawking radiation hep-th · 2019-08-26 · conditional · none · ref 4

    For a qubit model of Bell-pair Hawking emission, the per-step change in radiation entanglement entropy is bounded between (1-4*epsilon2^2-sqrt(1-gamma^2))*log2 and sqrt(1-4*epsilon2^2)*log2, yielding an early Page-curve turnover that is incompatible with unitary evaporation.