Quantum Computation toward Quantum Gravity

TL;DR

This paper explores the potential role of quantum information theory, especially qubits, in formulating a theory of quantum gravity, emphasizing the holographic principle and quantum geometry at the Planck scale.

Contribution

It proposes that quantum bits of information can be fundamental in quantum gravity, connecting holography, loop quantum gravity, and black hole entropy.

Findings

Quantum holography with qubits on event horizons

Spin networks' edges as qubits in quantum geometry

Black hole entropy linked to qubit states

Abstract

The aim of this paper is to enlight the emerging relevance of Quantum Information Theory in the field of Quantum Gravity. As it was suggested by J. A. Wheeler, information theory must play a relevant role in understanding the foundations of Quantum Mechanics (the "It from bit" proposal). Here we suggest that quantum information must play a relevant role in Quantum Gravity (the "It from qubit" proposal). The conjecture is that Quantum Gravity, the theory which will reconcile Quantum Mechanics with General Relativity, can be formulated in terms of quantum bits of information (qubits) stored in space at the Planck scale. This conjecture is based on the following arguments: a) The holographic principle, b) The loop quantum gravity approach and spin networks, c) Quantum geometry and black hole entropy. Here we present the quantum version of the holographic principle by considering each pixel of area of an event horizon as a qubit. This is possible if the horizon is pierced by spin networks' edges of spin 1\2, in the superposed state of spin "up" and spin "down".