Closed-form sector length distributions for recursively definable graph states (paths, cycles, stars, grids) via generating functions, yielding analytical concentratable entanglement, depolarizing fidelity bounds, and multipartite entanglement criteria.
Milleret al., Experimental measurement and a physi- 11 cal interpretation of quantum shadow enumerators (2024)
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Entanglement is certified if any three PT moments satisfy p_l > p_k^x p_m^{1-x} with x=(m-l)/(m-k), and quantum weight enumerators describe moment decay under local noise.
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Sector length distributions of recursively definable graph states through analytic combinatorics
Closed-form sector length distributions for recursively definable graph states (paths, cycles, stars, grids) via generating functions, yielding analytical concentratable entanglement, depolarizing fidelity bounds, and multipartite entanglement criteria.
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Detecting entanglement from few partial transpose moments and their decay via weight enumerators
Entanglement is certified if any three PT moments satisfy p_l > p_k^x p_m^{1-x} with x=(m-l)/(m-k), and quantum weight enumerators describe moment decay under local noise.