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Enhanced Schmidt number criteria based on correlation trace norms
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Enhanced Schmidt number criteria based on correlation trace norms
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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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Cited by 1 Pith paper
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Detecting high-dimensional entanglement with simple measurements
A witness method detects high-dimensional Schmidt numbers using only strings of single-qubit Pauli measurements, demonstrated up to 16-dimensional photonic entanglement.
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