Related papers: Enhanced Schmidt number criteria based on correlation trace norms

Enhanced Schmidt number criteria based on correlation trace norms

URL: http://arxiv.org/abs/2402.09972v2
Date: Tue, 17 Dec 2024 09:01:40 GMT
Title: Enhanced Schmidt number criteria based on correlation trace norms
Authors: Armin Tavakoli, Simon Morelli,
Abstract summary: The Schmidt number represents the genuine entanglement dimension of a bipartite quantum state. We derive simple criteria for the Schmidt number of a density matrix in arbitrary local dimensions.
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Abstract: The Schmidt number represents the genuine entanglement dimension of a bipartite quantum state. We derive simple criteria for the Schmidt number of a density matrix in arbitrary local dimensions. They are based on the trace norm of correlations obtained from seminal families of quantum measurements, specifically symmetric informationally complete measurements and mutually unbiased bases. Our criteria are strictly stronger than both the well-known fidelity witness criterion and the computable cross-norms or realignment criterion.

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