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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General construction of symmetric localizable multipartite quantum measurements as Pauli orbits, recovering the Elegant Joint Measurement as special case and extending to more parties and higher dimensions with localizability analysis via Clifford hierarchy.
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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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Symmetric Localizable Multipartite Quantum Measurements from Pauli Orbits
General construction of symmetric localizable multipartite quantum measurements as Pauli orbits, recovering the Elegant Joint Measurement as special case and extending to more parties and higher dimensions with localizability analysis via Clifford hierarchy.