Not One Bit of de Sitter Information

Abstract

We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined with a general result on the average information in a quantum subsystem, this guarantees that an observer in de Sitter space cannot obtain even a single bit of information from the de Sitter horizon, thereby preventing any observable violations of the quantum no-cloning principle, in support of observer complementarity.

9 pages, 2 figures, LaTeX, corrected equation 11

References in corpus (16)

• Hawking Radiation as Tunneling
• Average Entropy of a Subsystem
• The Stretched Horizon and Black Hole Complementarity
• Black Hole Evaporation without Information Loss
• Radiation via Tunneling from a de Sitter Cosmological Horizon
• New Coordinates for de Sitter Space and de Sitter Radiation
• String Theory and the Principle of Black Hole Complementarity
• Gedanken Experiments involving Black Holes
• Black Hole Horizons and Complementarity
• Elliptic de Sitter Space: dS/Z_2
• Energy Conservation and Hawking Radiation
• A global picture of quantum de Sitter space
• A new twist on dS/CFT
• Miracles and complementarity in de Sitter space
• q-Deformed de Sitter/Conformal Field Theory Correspondence
• De Sitter Space With Finitely Many States: A Toy Story

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