Gravity from Quantum Information

TL;DR

This paper proposes that Einstein's equation can be derived from principles of quantum information theory, linking gravity, thermodynamics, and entanglement entropy at local horizons.

Contribution

It introduces a novel derivation of Einstein's equation from Landauer's principle and Jacobson's thermodynamic approach, emphasizing quantum entanglement as the origin of gravity.

Findings

Einstein's equation can be derived from quantum information principles.

Gravity is related to entanglement entropy and quantum vacuum entanglement.

The approach unifies thermodynamics, quantum information, and gravity.

Abstract

It is suggested that the Einstein equation can be derived from Landauer's principle applied to an information erasing process at a local Rindler horizon and Jacobson's idea linking the Einstein equation with thermodynamics. When matter crosses the horizon, the information of the matter disappears and the horizon entanglement entropy increases to compensate the entropy reduction. The Einstein equation describes an information-energy relation during this process, which implies that entropic gravity is related to the quantum entanglement of the vacuum and has a quantum information theoretic origin.