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Simulating quantum systems using real Hilbert spaces

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arxiv 0810.1923 v1 pith:42MA5UHF submitted 2008-10-10 quant-ph

Simulating quantum systems using real Hilbert spaces

classification quant-ph
keywords evolutionquantumdiscretehilbertlocaloperatorsrealsimulating
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a means of simulating the evolution and measurement of a multipartite quantum state under discrete or continuous evolution using another quantum system with states and operators lying in a real Hilbert space. This extends previous results which were unable to simulate local evolution and measurements with local operators and was limited to discrete evolution. We also detail applications to Bell inequalities and self-testing of quantum apparatus.

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  1. Faithful real embedding of a three-dimensional complex Kochen-Specker configuration

    quant-ph 2025-11 conditional novelty 4.0

    Any finite set of complex 3D rays can be phase-adjusted to embed faithfully in real 6D, and the Cabello 165-ray KS set becomes colourable there.