Firewalls and flat mirrors: An alternative to the AMPS experiment which evades the Harlow-Hayden obstacle

Abstract

If quantum gravity does not lead to a breakdown of predictability, then Almheiri, Marolf, Polchinski and Sully (AMPS) have argued that an observer falling into a black hole can perform an experiment which verifies a violation of entanglement monogamy - that late time Hawking radiation is maximally entangled with early time Hawking radiation and also with infalling radiation - something impossible in quantum field theory. However, as pointed out by Hayden and Harlow, this experiment is infeasible, as the time required to perform the experiment is almost certainly longer than the lifetime of the black hole. Here we propose an alternative firewall experiment which could actually be performed within the black hole's lifetime. The alternative experiment involves forming an entangled black hole in which the unscrambling of information is precomputed on a quantum memory prior to the creation of the black hole and without acting on the matter which forms the black hole or emerges from it. This would allow an observer near a black hole to signal faster than light. As another application of our precomputing strategy, we show how one can produce entangled black holes which acts like ``flat mirrors'', in the sense that information comes out almost instantly (as in the Hayden-Preskill scenario), but also emerge unscrambled, so that it can actually be observed instantly as well. Finally, we prove that a black hole in thermal equilibrium with its own radiation, is uncorrelated with this radiation.

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Cited by in corpus (11)

• Jerusalem Lectures on Black Holes and Quantum Information
• The Black Hole information problem: past, present, and future
• The ghost in the radiation: Robust encodings of the black hole interior
• Uncertainty relation in Schwarzschild spacetime
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• Firewalls vs. Scrambling
• Backdraft: String Creation in an Old Schwarzschild Black Hole
• Cold Black Holes in the Harlow-Hayden Approach to Firewalls
• Rescuing Complementarity With Little Drama
• Do black holes create polyamory?
• Communication strength of correlations violating monogamy relations