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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3 Pith papers cite this work. Polarity classification is still indexing.
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The paper classifies all tetrahedrally symmetric and efficiently localizable multiqubit bases, uniquely recovering the known Elegant Joint Measurement for two qubits and yielding discrete equivalence classes for three or more qubits.
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.
citing papers explorer
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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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The Multiqubit Elegant Joint Measurement
The paper classifies all tetrahedrally symmetric and efficiently localizable multiqubit bases, uniquely recovering the known Elegant Joint Measurement for two qubits and yielding discrete equivalence classes for three or more qubits.
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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.