Black holes as mirrors: quantum information in random subsystems
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...J H E P 0 3 ( 2 0 1 4 ) 0 6 7 identical to that of Page, and we will include the discussion for completeness, following the computationally efficient norm approach of [11]....
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...se errors act in a simple way in the radiation basis, which we view as the computational basis. Because the radiation system is in a random state one expects the encoding of A 35 to be fault-tolerant [34]. This means that is it possible to correct the errors. One can correct errors which act on less than n=4 qubits [36]. For the case that we measure all of the outside radiation modes, we do not know w...
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...[15, 6], we make the division after the Page time when the black hole has emitted half of its initial Bekenstein-Hawking entropy; we will refer to this as an ‘old’ black hole....
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...After the black hole scrambling time [6, 7], almost every small subsystem of the black hole is in an almost maximally mixed state....
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...This time scale has an interesting resonance with ideas from quantum information theory and from Matrix theory [6, 7, 8, 9], which suggest that it may actually be achieved....
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...[6], that the observer knows the initial state of the black hole and also the black hole S-matrix....
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...Not only does the bulk shock wave calculation successfully reproduce the chaotic growth of complexity in the boundary state, it also reproduces the partial cancellation that occurs during the time it takes the perturbation to spread over the whole system (the “scrambling time” [16,17])....
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"Black holes as mirrors: quantum inf..." refers background in this paper
...Is the information consumed by a black hole destroyed and lost forever [1], or might it be recovered from the Hawking radiation that is emitted as the black hole evaporates? Evidence from string theory suggests that the information, rather than being destroyed, can be encoded in the black hole’s internal degrees of freedom and eventually transferred to the outgoing radiation [2, 3]....
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