Locking Information in Black Holes

John A. Smolin and Jonathan Oppenheim
Phys. Rev. Lett. 96, 081302 – Published 28 February 2006

Abstract

We show that a central presumption in the debate over black-hole information loss is incorrect. Ensuring that information not escape during evaporation does not require that it all remain trapped until the final stage of the process. Using the recent quantum information-theoretic result of locking, we show that the amount of information that must remain can be very small, even as the amount already radiated is negligible. Information need not be additive: A small system can lock a large amount of information, making it inaccessible. Only if the set of initial states is restricted can information leak.

  • Received 19 August 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.081302

©2006 American Physical Society

Authors & Affiliations

John A. Smolin*

  • IBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA

Jonathan Oppenheim

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom

  • *Electronic address: smolin@watson.ibm.com
  • Electronic address: jono@damtp.cam.ac.uk

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Issue

Vol. 96, Iss. 8 — 3 March 2006

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