Discrete Fourier-based Correlations for Entanglement Detection

Abstract

We introduce two forms of correlations on two $d$-level (qudit) systems for entanglement detection. The correlations can be measured via experimentally tractable two local measurement settings and their separable bounds are determined by discrete Fourier-based uncertainty relations. They are useful to estimate lower bounds of the Schmidt number in order to clarify generation of a genuine qudit entanglement. We also present inseparable conditions for multi-qudit systems associated with the qudit stabilizer formalism as another role of the correlations on the inseparability problem.

4 pages, 2 figures

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Cited by in corpus (11)

• Entropic Uncertainty Relations and their Applications
• Quantum-memory-assisted entropic uncertainty relations
• Heisenberg-Weyl Observables: Bloch vectors in phase space
• Uncertainty relations for general unitary operators
• Strong unitary uncertainty relations
• Evaluation of entanglement measures by a single observable
• An improved bound for strong unitary uncertainty relations with refined sequence
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• Schmidt-number benchmarks for continuous-variable quantum devices
• Constructing separable states in infinite-dimensional systems by operator matrices
• Converting separable conditions to entanglement breaking conditions