Rank-1 PVMs on two qudits with a maximal-Schmidt-rank element are localizable with Schmidt number at most d exactly when they correspond to nice unitary error bases; the two-qubit case is fully classified, resolving a prior conjecture.
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2026 2verdicts
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Observable upper and lower bounds on multipartite entanglement for arbitrary system sizes are constructed from state purities and correlation functions by extending bipartite results via strong subadditivity and monogamy relations.
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Localization of joint quantum measurements on $\mathbb{C}^d \otimes \mathbb{C}^d$ by entangled resources with Schmidt number at most $d$
Rank-1 PVMs on two qudits with a maximal-Schmidt-rank element are localizable with Schmidt number at most d exactly when they correspond to nice unitary error bases; the two-qubit case is fully classified, resolving a prior conjecture.
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Observable measures of multipartite entanglement
Observable upper and lower bounds on multipartite entanglement for arbitrary system sizes are constructed from state purities and correlation functions by extending bipartite results via strong subadditivity and monogamy relations.