Hartle-Hawking state is a maximum of entanglement entropy

Shinji Mukohyama
Phys. Rev. D 61, 064015 – Published 24 February 2000
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Abstract

It is shown that the Hartle-Hawking state of a scalar field is a maximum of entanglement entropy in the space of pure quantum states satisfying the condition that the back reaction be finite. In other words, the Hartle-Hawking state is a curved-space analogue of the EPR state, which is also a maximum of entanglement entropy.

  • Received 2 April 1999

DOI:https://doi.org/10.1103/PhysRevD.61.064015

©2000 American Physical Society

Authors & Affiliations

Shinji Mukohyama

  • Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • Department of Physics and Astronomy, University of Victoria, Victoria BC, Canada V8W 3P6

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Vol. 61, Iss. 6 — 15 March 2000

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