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Measurement-based quantum computation--a quantum-mechanical toy model for spacetime?

2011/08/29 by Robert Raussendorf, R. Raussendorf, Pradeep Kiran Sarvepalli +9
Computer Science · Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1108.5774

33 pages

arxiv created 2011/08/29 · openalex publication_date 2011/08/29 · arxiv updated 2011/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose measurement-based quantum computation (MBQC) as a quantum mechanical toy model for spacetime. Within this framework, we discuss the constraints on possible temporal orders enforced by certain symmetries present in every MBQC. We provide a classification for all MBQC temporal relations compatible with a given initial quantum state and measurement setting, in terms of a matroid. Further, we find a symmetry transformation related to local complementation that leaves the temporal relations invariant. After light cones and closed time-like curves have previously been found to have MBQC counterparts, we identify event horizons as a third piece of the phenomenology of General Relativity that has an analogue in MBQC.

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