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 (1)

• A global picture of quantum de Sitter space

Cited by in corpus (11)

• On M5-branes in N=6 Membrane Action
• The AdS4/CFT3 algebraic curve
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Multiple Membranes from Gauged Supergravity
• The Volume of the Universe after Inflation and de Sitter Entropy
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
• Topological Twisting of Multiple M2-brane Theory
• N=6 Membrane Worldvolume Superalgebra
• A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory