Experimental Simulation of Loop Quantum Gravity on a Photonic Chip

• URL: http://arxiv.org/abs/2207.00557v1
• Date: Fri, 1 Jul 2022 17:14:30 GMT
• Title: Experimental Simulation of Loop Quantum Gravity on a Photonic Chip
• Authors: Reinier van der Meer, Zichang Huang, Malaquias Correa Anguita, Dongxue Qu, Peter Hooijschuur, Hongguang Liu, Muxin Han, Jelmer J. Renema, Lior Cohen
• Abstract summary: We experimentally demonstrate quantum simulations of spinfoam amplitudes of Loop Quantum Gravity (LQG) on an integrated photonics quantum processor. We show that the derived spinfoam amplitude falls within 4% error with respect to the theoretical prediction, despite experimental imperfections. We also discuss how to generalize the simulation for more complex transitions, in realistic experimental conditions.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The unification of general relativity and quantum theory is one of the fascinating problems of modern physics. One leading solution is Loop Quantum Gravity (LQG). Simulating LQG may be important for providing predictions which can then be tested experimentally. However, such complex quantum simulations cannot run efficiently on classical computers, and quantum computers or simulators are needed. Here, we experimentally demonstrate quantum simulations of spinfoam amplitudes of LQG on an integrated photonics quantum processor. We simulate a basic transition of LQG and show that the derived spinfoam vertex amplitude falls within 4% error with respect to the theoretical prediction, despite experimental imperfections. We also discuss how to generalize the simulation for more complex transitions, in realistic experimental conditions, which will eventually lead to a quantum advantage demonstration as well as expand the toolbox to investigate LQG.

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