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Quantum Complexity and Chaos in Young Black Holes

1
Department of Physics and Astronomy, Shumen University, 9700 Shumen, Bulgaria
2
Space Research and Technology Institute, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
*
Author to whom correspondence should be addressed.
Universe 2019, 5(4), 93; https://doi.org/10.3390/universe5040093
Received: 16 March 2019 / Revised: 17 April 2019 / Accepted: 18 April 2019 / Published: 22 April 2019
(This article belongs to the Special Issue Black Hole Physics and Astrophysics)
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Abstract

We argue that the problem of calculating retention time scales in young black holes is a problem of relative state complexity. In particular, we suggest that Alice’s ability to estimate the time scale for a perturbed black hole to release the extra n qubits comes down to her decoding the Hilbert space of the Hawking radiation. We then demonstrate the decoding task Alice faces is very difficult, and in order to calculate the relative state complexity she would either need to act with an exponentially complex unitary operator or apply an extremely fine-tuned future precursor operator to the perturbed state in S U ( 2 K ) . View Full-Text
Keywords: quantum complexity; qunatum information; black holes quantum complexity; qunatum information; black holes
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Yosifov, A.Y.; Filipov, L.G. Quantum Complexity and Chaos in Young Black Holes. Universe 2019, 5, 93.

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