Tavakoli, A., & Morelli, S. (2024). Enhanced Schmidt-number criteria based on correlation trace norms. Physical Review A, 110(6), 1–9. https://doi.org/10.1103/PhysRevA.110.062417
E141-08 - Forschungsbereich Quantum Optics and Quantum Information
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Journal:
Physical Review A
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ISSN:
2469-9926
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Date (published):
11-Dec-2024
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Number of Pages:
9
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Publisher:
AMER PHYSICAL SOC
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Peer reviewed:
Yes
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Keywords:
Entanglement detection; Quantum correlations in quantum information; Schmidt number; density matrix
en
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, given that certain symmetric measurements exist. 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-norm or realignment criterion.
