Abstract

The theory of quantum gravity is aimed to fuse general relativity with quantum theory into a more fundamental framework. The space of quantum gravity provides both the non-fixed causality of general relativity and the quantum uncertainty of quantum mechanics. In a quantum gravity scenario, the causal structure is indefinite and the processes are causally non-separable. Here, we provide a model for the information processing structure of quantum gravity. We show that the quantum gravity environment is an information resource-pool from which valuable information can be extracted. We analyze the structure of the quantum gravity space and the entanglement of the space-time geometry. We study the information transfer capabilities of quantum gravity space and define the quantum gravity channel. We reveal that the quantum gravity space acts as a background noise on the local environment states. We characterize the properties of the noise of the quantum gravity space and show that it allows the separate local parties to simulate remote outputs from the local environment state, through the process of remote simulation.

Highlights

  • In general relativity, processes and events are causally non-separable because the causal structure of space-time geometry is non-fixed

  • The theory of quantum gravity integrates the fundamental results of quantum mechanics with general relativity

  • We provided a model for the information processing structure of the quantum gravity space

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Summary

Introduction

Processes and events are causally non-separable because the causal structure of space-time geometry is non-fixed. Gravity environment, the computations and the information processing steps are interpreted without the notion of time evolution This space-time structure allows us to perform quantum gravity computations and to build quantum gravity computers, which fuse the extreme power of quantum computations and the non-fixed causality structure of general relativity [3]. This background noise (a noisy map) of the quantum gravity space allows the local parties to simulate remote, physically separated processes in the quantum gravity space, in a probabilistic way We call this process remote simulation, an event that can be accomplished only as a coin tossing in a fixed causality structure. We study the entangled space-time structure of quantum gravity and define the partitions over which the information flow between the separated processes is possible.

Structure of Information Processing
1: The density matrix ρ
Information Transfer of Quantum Gravity
Stimulated Storage in Quantum Gravity Memories
Conclusions
Notations
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