Linear dependence among the diagonal components of Hamiltonian derivatives creates a slow parameter direction with O(t^0) scaling, obstructing simultaneous t^{-2} multiparameter quantum estimation.
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CANP enhances quantum Fisher information by using noncommutativity between critical state preparation and parameter encoding, demonstrated in the quantum Rabi and Lipkin-Meshkov-Glick models at fixed resources.
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Geometric obstructions to quadratic time scaling in multiparameter quantum estimation
Linear dependence among the diagonal components of Hamiltonian derivatives creates a slow parameter direction with O(t^0) scaling, obstructing simultaneous t^{-2} multiparameter quantum estimation.
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Enhanced quantum metrology by criticality-assisted noncommutative preparation
CANP enhances quantum Fisher information by using noncommutativity between critical state preparation and parameter encoding, demonstrated in the quantum Rabi and Lipkin-Meshkov-Glick models at fixed resources.